1
<chapter name="Particle Properties">
3
<h2>Particle Properties</h2>
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A <code>Particle</code> corresponds to one entry/slot in the
6
event record. Its properties therefore is a mix of ones belonging
7
to a particle-as-such, like its identity code or four-momentum,
8
and ones related to the event-as-a-whole, like which mother it has.
11
What is stored for each particle is
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<li>the identity code,</li>
14
<li>the status code,</li>
15
<li>two mother indices,</li>
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<li>two daughter indices,</li>
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<li>a colour and an anticolour index,</li>
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<li>the four-momentum and mass,</li>
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<li>the scale at which the particle was produced (optional),</li>
20
<li>the polarization/spin/helicity of the particle (optional),</li>
21
<li>the production vertex and proper lifetime (optional),</li>
22
<li>a pointer to the particle kind in the particle data table, and</li>
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<li>a pointer to the whole particle data table.</li>
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From these, a number of further quantities may be derived.
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<h3>Basic output methods</h3>
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The following member functions can be used to extract the most important
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<method name="int Particle::id()">
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the identity of a particle, according to the PDG particle codes
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<method name="int Particle::status()">
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status code. The status code includes information on how a particle was
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produced, i.e. where in the program execution it was inserted into the
40
event record, and why. It also tells whether the particle is still present
41
or not. It does not tell how a particle disappeared, whether by a decay,
42
a shower branching, a hadronization process, or whatever, but this is
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implicit in the status code of its daughter(s). The basic scheme is:
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<li>status = +- (10 * i + j)</li>
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<li> + : still remaining particles</li>
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<li> - : decayed/branched/fragmented/... and not remaining</li>
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<li> i = 1 - 9 : stage of event generation inside PYTHIA</li>
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<li> i = 10 -19 : reserved for future expansion</li>
50
<li> i >= 20 : free for add-on programs</li>
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<li> j = 1 - 9 : further specification</li>
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In detail, the list of used or foreseen status codes is:
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<li>11 - 19 : beam particles</li>
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<li>11 : the event as a whole</li>
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<li>12 : incoming beam</li>
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<li>13 : incoming beam-inside-beam (e.g. <ei>gamma</ei>
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inside <ei>e</ei>)</li>
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<li>14 : outgoing elastically scattered</li>
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<li>15 : outgoing diffractively scattered</li>
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<li>21 - 29 : particles of the hardest subprocess</li>
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<li>21 : incoming</li>
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<li>22 : intermediate (intended to have preserved mass)</li>
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<li>23 : outgoing</li>
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<li>31 - 39 : particles of subsequent subprocesses</li>
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<li>31 : incoming</li>
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<li>32 : intermediate (intended to have preserved mass)</li>
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<li>33 : outgoing</li>
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<li>34 : incoming that has already scattered</li>
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<li>41 - 49 : particles produced by initial-state-showers</li>
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<li>41 : incoming on spacelike main branch</li>
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<li>42 : incoming copy of recoiler</li>
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<li>43 : outgoing produced by a branching</li>
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<li>44 : outgoing shifted by a branching</li>
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<li>45 : incoming rescattered parton, with changed kinematics
84
owing to ISR in the mother system (cf. status 34)</li>
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<li>46 : incoming copy of recoiler when this is a rescattered
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parton (cf. status 42)</li>
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<li>51 - 59 : particles produced by final-state-showers</li>
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<li>51 : outgoing produced by parton branching</li>
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<li>52 : outgoing copy of recoiler, with changed momentum</li>
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<li>53 : copy of recoiler when this is incoming parton,
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with changed momentum</li>
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<li>54 : copy of a recoiler, when in the initial state of a
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different system from the radiator</li>
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<li>55 : copy of a recoiler, when in the final state of a
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different system from the radiator</li>
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<li>61 - 69 : particles produced by beam-remnant treatment</li>
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<li>61 : incoming subprocess particle with primordial <ei>kT</ei>
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<li>62 : outgoing subprocess particle with primordial <ei>kT</ei>
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<li>63 : outgoing beam remnant</li>
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<li>71 - 79 : partons in preparation of hadronization process</li>
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<li>71 : copied partons to collect into contiguous colour singlet</li>
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<li>72 : copied recoiling singlet when ministring collapses to
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one hadron and momentum has to be reshuffled</li>
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<li>73 : combination of very nearby partons into one</li>
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<li>74 : combination of two junction quarks (+ nearby gluons)
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<li>75 : gluons split to decouple a junction-antijunction pair</li>
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<li>76 : partons with momentum shuffled to decouple a
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junction-antijunction pair </li>
118
<li>77 : temporary opposing parton when fragmenting first two
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strings in to junction (should disappear again)</li>
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<li>78 : temporary combined diquark end when fragmenting last
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string in to junction (should disappear again)</li>
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<li>81 - 89 : primary hadrons produced by hadronization process</li>
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<li>81 : from ministring into one hadron</li>
126
<li>82 : from ministring into two hadrons</li>
127
<li>83, 84 : from normal string (the difference between the two
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is technical, whether fragmented off from the top of the
129
string system or from the bottom, useful for debug only)</li>
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<li>85, 86 : primary produced hadrons in junction frogmentation of
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the first two string legs in to the junction,
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in order of treatment</li>
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<li>91 - 99 : particles produced in decay process, or by Bose-Einstein
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<li>91 : normal decay products</li>
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<li>92 : decay products after oscillation <ei>B0 <-> B0bar</ei> or
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<ei>B_s0 <-> B_s0bar</ei></li>
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<li>93, 94 : decay handled by external program, normally
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or with oscillation</li>
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<li>99 : particles with momenta shifted by Bose-Einstein effects
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(not a proper decay, but bookkept as an <ei>1 -> 1</ei> such,
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happening after decays of short-lived resonances but before
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decays of longer-lived particles)</li>
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<li>101 - 109 : particles in the handling of R-hadron production and
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decay, i.e. long-lived (or stable) particles containing a very heavy
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<li>101 : when a string system contains two such long-lived particles,
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the system is split up by the production of a new q-qbar
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pair (bookkept as decay chains that seemingly need not conserve
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flavour etc., but do when considered together)</li>
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<li>102 : partons rearranged from the long-lived particle end to prepare
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for fragmentation from this end</li>
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<li>103 : intermediate "half-R-hadron" formed when a colour octet particle
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(like the gluino) has been fragmented on one side, but not yet on
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<li>104 : an R-hadron</li>
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<li>105 : partons or particles formed together with the R-hadron during
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the fragmentation treatment</li>
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<li>106 : subdivision of an R-hadron into its flavour content, with
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momentum split accordingly, in preparation of the decay of
165
the heavy new particle, if it is unstable</li>
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<li>111 - 199 : reserved for future expansion</li>
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<li>201 - : free to be used by anybody</li>
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<method name="int Particle::mother1()">
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<methodmore name="int Particle::mother2()">
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the indices in the event record where the first and last mothers are
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stored, if any. There are five allowed combinations of <code>mother1</code>
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and <code>mother2</code>:
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<li><code>mother1 = mother2 = 0</code>: for lines 0 - 2, where line 0
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represents the event as a whole, and 1 and 2 the two incoming
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beam particles; </li>
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<li><code>mother1 = mother2 > 0</code>: the particle is a "carbon copy"
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of its mother, but with changed momentum as a "recoil" effect,
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e.g. in a shower;</li>
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<li><code>mother1 > 0, mother2 = 0</code>: the "normal" mother case, where
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it is meaningful to speak of one single mother to several products,
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in a shower or decay;</li>
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<li><code>mother1 < mother2</code>, both > 0, for
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<code>abs(status) = 81 - 86</code>: primary hadrons produced from the
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fragmentation of a string spanning the range from <code>mother1</code>
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to <code>mother2</code>, so that all partons in this range should be
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considered mothers;</li>
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<li><code>mother1 < mother2</code>, both > 0, except case 4: particles
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with two truly different mothers, in particular the particles emerging
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from a hard <ei>2 -> n</ei> interaction.</li>
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<note>Note 1:</note> in backwards evolution of initial-state showers,
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the mother may well appear below the daughter in the event record.
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<note>Note 2:</note> the <code>motherList(i)</code> method of the
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<code>Event</code> class returns a vector of all the mothers,
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providing a uniform representation for all five cases.
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<method name="int Particle::daughter1()">
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<methodmore name="int Particle::daughter2()">
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the indices in the event record where the first and last daughters
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are stored, if any. There are five allowed combinations of
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<code>daughter1</code> and <code>daughter2</code>:
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<li><code>daughter1 = daughter2 = 0</code>: there are no daughters
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<li><code>daughter1 = daughter2 > 0</code>: the particle has a
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"carbon copy" as its sole daughter, but with changed momentum
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as a "recoil" effect, e.g. in a shower;</li>
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<li><code>daughter1 > 0, daughter2 = 0</code>: each of the incoming beams
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has only (at most) one daughter, namely the initiator parton of the
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hardest interaction; further, in a <ei>2 -> 1</ei> hard interaction,
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like <ei>q qbar -> Z^0</ei>, or in a clustering of two nearby partons,
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the initial partons only have this one daughter;</li>
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<li><code>daughter1 < daughter2</code>, both > 0: the particle has
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a range of decay products from <code>daughter1</code> to
223
<code>daughter2</code>;</li> <li><code>daughter2 < daughter1</code>,
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both > 0: the particle has two separately stored decay products (e.g.
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in backwards evolution of initial-state showers).</li>
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<note>Note 1:</note> in backwards evolution of initial-state showers, the
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daughters may well appear below the mother in the event record.
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<note>Note 2:</note> the mother-daughter relation normally is reciprocal,
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but not always. An example is hadron beams (indices 1 and 2), where each
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beam remnant and the initiator of each multiparton interaction has the
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respective beam as mother, but the beam itself only has the initiator
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of the hardest interaction as daughter.
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<note>Note 3:</note> the <code>daughterList(i)</code> method of the
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<code>Event</code> class returns a vector of all the daughters,
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providing a uniform representation for all five cases. With this method,
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also all the daughters of the beams are caught, with the initiators of
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the basic process given first, while the rest are in no guaranteed order
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(since they are found by a scanning of the event record for particles
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with the beam as mother, with no further information).
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<method name="int Particle::col()">
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<methodmore name="int Particle::acol()">
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the colour and anticolour tags, Les Houches Accord <ref>Boo01</ref>
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style (starting from tag 101 by default, see below).
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<note>Note:</note> in the preliminary implementation of colour sextets
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(exotic BSM particles) that exists since PYTHIA 8.150, a negative
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anticolour tag is interpreted as an additional positive colour tag,
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<method name="double Particle::px()">
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<methodmore name="double Particle::py()">
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<methodmore name="double Particle::pz()">
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<methodmore name="double Particle::e()">
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the particle four-momentum components.
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<method name="Vec4 Particle::p()">
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the particle four-momentum vector, with components as above.
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<method name="double Particle::m()">
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the particle mass, stored with a minus sign (times the absolute value)
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for spacelike virtual particles.
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<method name="double Particle::scale()">
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the scale at which a parton was produced, which can be used to restrict
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its radiation to lower scales in subsequent steps of the shower evolution.
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Note that scale is linear in momenta, not quadratic (i.e. <ei>Q</ei>,
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<method name="double Particle::pol()">
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the polarization/spin/helicity of a particle. Currently Pythia does not
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use this variable for any internal operations, so its meaning is not
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uniquely defined. The LHA standard sets <code>SPINUP</code> to be the
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cosine of the angle between the spin vector and the 3-momentum of the
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decaying particle in the lab frame, i.e. restricted to be between +1
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and -1. A more convenient choice could be the same quantity in the rest
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frame of the particle production, either the hard subprocess or the
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mother particle of a decay. Unknown or unpolarized particles should
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be assigned the value 9.
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<method name="double Particle::xProd()">
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<methodmore name="double Particle::yProd()">
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<methodmore name="double Particle::zProd()">
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<methodmore name="double Particle::tProd()">
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the production vertex coordinates, in mm or mm/c.
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<method name="Vec4 Particle::vProd()">
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The production vertex four-vector. Note that the components of a
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<code>Vec4</code> are named <code>px(), py(), pz() and e()</code>
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which of course then should be reinterpreted as above.
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<method name="double Particle::tau()">
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the proper lifetime, in mm/c. It is assigned for all hadrons with
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positive nominal <ei>tau</ei>, <ei>tau_0 > 0</ei>, because it can be used
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by PYTHIA to decide whether a particle should or should not be allowed
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to decay, e.g. based on the decay vertex distance to the primary interaction
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<h3>Input methods</h3>
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The same method names as above are also overloaded in versions that
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set values. These have an input argument of the same type as the
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respective output above, and are of type <code>void</code>.
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There are also a few alternative methods for input:
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<method name="void Particle::statusPos()">
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<methodmore name="void Particle::statusNeg()">
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sets the status sign positive or negative, without changing the absolute value.
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<method name="void Particle::statusCode(int code)">
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changes the absolute value but retains the original sign.
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<method name="void Particle::mothers(int mother1, int mother2)">
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sets both mothers in one go.
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<method name="void Particle::daughters(int daughter1, int daughter2)">
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sets both daughters in one go.
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<method name="void Particle::cols(int col, int acol)">
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sets both colour and anticolour in one go.
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<method name="void Particle::p(double px, double py, double pz, double e)">
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sets the four-momentum components in one go.
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<method name="void Particle::vProd(double xProd, double yProd,
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double zProd, double tProd)">
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sets the production vertex components in one go.
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<h3>Further output methods</h3>
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In addition, a number of derived quantities can easily be obtained,
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but cannot be set, such as:
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<method name="int Particle::idAbs()">
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the absolute value of the particle identity code.
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<method name="int Particle::statusAbs()">
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the absolute value of the status code.
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<method name="bool Particle::isFinal()">
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true for a remaining particle, i.e. one with positive status code,
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else false. Thus, after an event has been fully generated, it
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separates the final-state particles from intermediate-stage ones.
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(If used earlier in the generation process, a particle then
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considered final may well decay later.)
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<method name="bool Particle::isRescatteredIncoming()">
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true for particles with a status code -34, -45, -46 or -54, else false.
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This singles out partons that have been created in a previous
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scattering but here are bookkept as belonging to the incoming state
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of another scattering.
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<method name="bool Particle::hasVertex()">
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production vertex has been set; if false then production at the origin
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<method name="double Particle::m2()">
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squared mass, which can be negative for spacelike partons.
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<method name="double Particle::mCalc()">
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<methodmore name="double Particle::m2Calc()">
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(squared) mass calculated from the four-momentum; should agree
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with <code>m(), m2()</code> up to roundoff. Negative for spacelike
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<method name="double Particle::eCalc()">
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energy calculated from the mass and three-momentum; should agree
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with <code>e()</code> up to roundoff. For spacelike partons a
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positive-energy solution is picked. This need not be the correct
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one, so it is recommended not to use the method in such cases.
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<method name="double Particle::pT()">
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<methodmore name="double Particle::pT2()">
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(squared) transverse momentum.
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<method name="double Particle::mT()">
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<methodmore name="double Particle::mT2()">
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(squared) transverse mass. If <ei>m_T^2</ei> is negative, which can happen
419
for a spacelike parton, then <code>mT()</code> returns
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<ei>-sqrt(-m_T^2)</ei>, by analogy with the negative sign used to store
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<method name="double Particle::pAbs()">
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<methodmore name="double Particle::pAbs2()">
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(squared) three-momentum size.
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<method name="double Particle::eT()">
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<methodmore name="double Particle::eT2()">
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(squared) transverse energy,
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<ei>eT = e * sin(theta) = e * pT / pAbs</ei>.
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<method name="double Particle::theta()">
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<methodmore name="double Particle::phi()">
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polar and azimuthal angle.
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<method name="double Particle::thetaXZ()">
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angle in the <ei>(p_x, p_z)</ei> plane, between <ei>-pi</ei> and
445
<ei>+pi</ei>, with 0 along the <ei>+z</ei> axis
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<method name="double Particle::pPos()">
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<methodmore name="double Particle::pNeg()">
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<method name="double Particle::y()">
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<methodmore name="double Particle::eta()">
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rapidity and pseudorapidity.
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<method name="double Particle::xDec()">
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<methodmore name="double Particle::yDec()">
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<methodmore name="double Particle::zDec()">
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<methodmore name="double Particle::tDec()">
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<methodmore name="Vec4 Particle::vDec()">
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the decay vertex coordinates, in mm or mm/c. This decay vertex is
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calculated from the production vertex, the proper lifetime and the
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four-momentum assuming no magnetic field or other detector interference.
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It can be used to decide whether a decay should be performed or not,
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and thus is defined also for particles which PYTHIA did not let decay.
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Each Particle contains a pointer to the respective
478
<code>ParticleDataEntry</code> object in the
479
<aloc href="ParticleDataScheme">particle data tables</aloc>.
480
This gives access to properties of the particle species as such. It is
481
there mainly for convenience, and should be thrown if an event is
482
written to disk, to avoid any problems of object persistency. Should
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an event later be read back in, the pointer will be recreated from the
484
<code>id</code> code if the normal input methods are used. (Use the
485
<code><aloc href="EventRecord">Event::restorePtrs()</aloc></code> method
486
if your persistency scheme bypasses the normal methods.) This pointer is
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used by the following member functions:
489
<method name="string Particle::name()">
490
the name of the particle.
493
<method name="string Particle::nameWithStatus()">
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as above, but for negative-status particles the name is given in
495
brackets to emphasize that they are intermediaries.
498
<method name="int Particle::spinType()">
499
<ei>2 *spin + 1</ei> when defined, else 0.
502
<method name="double Particle::charge()">
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<methodmore name="int Particle::chargeType()">
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charge, and three times it to make an integer.
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<method name="bool Particle::isCharged()">
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<methodmore name="bool Particle::isNeutral()">
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charge different from or equal to 0.
514
<method name="int Particle::colType()">
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0 for colour singlets, 1 for triplets,
516
-1 for antitriplets and 2 for octets. (A preliminary implementation of
517
colour sextets also exists, using 3 for sextets and -3 for antisextets.)
520
<method name="double Particle::m0()">
521
the nominal mass of the particle, according to the data tables.
524
<method name="double Particle::mWidth()">
526
<methodmore name="double Particle::mMin()">
528
<methodmore name="double Particle::mMax()">
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the width of the particle, and the minimum and maximum allowed mass value
530
for particles with a width, according to the data tables.
533
<method name="double Particle::mass()">
534
the mass of the particle, picked according to a Breit-Wigner
535
distribution for particles with width. It is different each time called,
536
and is therefore only used once per particle to set its mass
540
<method name="double Particle::constituentMass()">
541
will give the constituent masses for quarks and diquarks,
542
else the same masses as with <code>m0()</code>.
545
<method name="double Particle::tau0()">
546
the nominal lifetime <ei>tau_0 > 0</ei>, in mm/c, of the particle species.
547
It is used to assign the actual lifetime <ei>tau</ei>.
550
<method name="bool Particle::mayDecay()">
551
flag whether particle has been declared unstable or not, offering
552
the main user switch to select which particle species to decay.
555
<method name="bool Particle::canDecay()">
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flag whether decay modes have been declared for a particle,
557
so that it could be decayed, should that be requested.
560
<method name="bool Particle::doExternalDecay()">
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particles that are decayed by an external program.
564
<method name="bool Particle::isResonance()">
565
particles where the decay is to be treated as part of the hard process,
566
typically with nominal mass above 20 GeV (<ei>W^+-, Z^0, t, ...</ei>).
569
<method name="bool Particle::isVisible()">
570
particles with strong or electric charge, or composed of ones having it,
571
which thereby should be considered visible in a normal detector.
574
<method name="bool Particle::isLepton()">
575
true for a lepton or an antilepton (including neutrinos).
578
<method name="bool Particle::isQuark()">
579
true for a quark or an antiquark.
582
<method name="bool Particle::isGluon()">
586
<method name="bool Particle::isDiquark()">
587
true for a diquark or an antidiquark.
590
<method name="bool Particle::isParton()">
591
true for a gluon, a quark or antiquark up to the b (but excluding top),
592
and a diquark or antidiquark consisting of quarks up to the b.
595
<method name="bool Particle::isHadron()">
596
true for a hadron (made up out of normal quarks and gluons,
597
i.e. not for R-hadrons and other exotic states).
600
<method name="ParticleDataEntry& particleDataEntry()">
601
a reference to the ParticleDataEntry.
605
Not part of the <code>Particle</code> class proper, but obviously tightly
606
linked, are the two methods
608
<method name="double m(const Particle& pp1, const Particle& pp2)">
610
<methodmore name="double m2(const Particle& pp1, const Particle& pp2)">
611
the (squared) invariant mass of two particles.
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<h3>Methods that perform operations</h3>
616
There are some further methods, some of them inherited from
617
<code>Vec4</code>, to modify the properties of a particle.
618
They are of little interest to the normal user.
620
<method name="void Particle::rescale3(double fac)">
621
multiply the three-momentum components by <code>fac</code>.
624
<method name="void Particle::rescale4(double fac)">
625
multiply the four-momentum components by <code>fac</code>.
628
<method name="void Particle::rescale5(double fac)">
629
multiply the four-momentum components and the mass by <code>fac</code>.
632
<method name="void Particle::rot(double theta, double phi)">
633
rotate three-momentum and production vertex by these polar and azimuthal
637
<method name="void Particle::bst(double betaX, double betaY, double betaZ)">
638
boost four-momentum and production vertex by this three-vector.
641
<method name="void Particle::bst(double betaX, double betaY, double betaZ,
643
as above, but also input the <ei>gamma</ei> value, to reduce roundoff errors.
646
<method name="void Particle::bst(const Vec4& pBst)">
647
boost four-momentum and production vertex by
648
<ei>beta = (px/e, py/e, pz/e)</ei>.
651
<method name="void Particle::bst(const Vec4& pBst, double mBst)">
652
as above, but also use <ei>gamma> = e/m</ei> to reduce roundoff errors.
655
<method name="void Particle::bstback(const Vec4& pBst)">
657
<methodmore name="void Particle::bstback(const Vec4& pBst, double mBst)">
658
as above, but with sign of boost flipped.
661
<method name="void Particle::rotbst(const RotBstMatrix& M)">
662
combined rotation and boost of the four-momentum and production vertex.
665
<method name="void Particle::offsetHistory( int minMother, int addMother,
666
int minDaughter, int addDaughter))">
667
add a positive offset to the mother and daughter indices, i.e.
668
if <code>mother1</code> is above <code>minMother</code> then
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<code>addMother</code> is added to it, same with <code>mother2</code>,
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if <code>daughter1</code> is above <code>minDaughter</code> then
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<code>addDaughter</code> is added to it, same with <code>daughter2</code>.
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<method name="void Particle::offsetCol( int addCol)">
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add a positive offset to colour indices, i.e. if <code>col</code> is
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positive then <code>addCol</code> is added to it, same with <code>acol</code>.
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<h3>Constructors and operators</h3>
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Normally a user would not need to create new particles. However, if
682
necessary, the following constructors and methods may be of interest.
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<method name="Particle::Particle()">
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constructs an empty particle, i.e. where all properties have been set 0
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<method name="Particle::Particle(int id, int status = 0, int mother1 = 0,
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int mother2 = 0, int daughter1 = 0, int daughter2 = 0, int col = 0,
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int acol = 0, double px = 0., double py = 0., double pz = 0., double e = 0.,
692
double m = 0., double scale = 0., double pol = 9.)">
693
constructs a particle with the input properties provided, and non-provided
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ones set 0 (9 for <code>pol</code>).
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<method name="Particle::Particle(int id, int status, int mother1, int mother2,
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int daughter1, int daughter2, int col, int acol, Vec4 p, double m = 0.,
699
double scale = 0., double pol = 9.)">
700
constructs a particle with the input properties provided, and non-provided
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ones set 0 (9 for <code>pol</code>).
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<method name="Particle::Particle(const Particle& pt)">
705
constructs an particle that is a copy of the input one.
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<method name="Particle& Particle::operator=(const Particle& pt)">
709
copies the input particle.
712
<method name="void Particle::setPDTPtr()">
713
sets the pointer to the <code>ParticleData</code> objects,
714
i.e. to the full particle data table. Also calls <code>setPDEPtr</code>
718
<method name="void Particle::setPDEPtr()">
719
sets the pointer to the <code>ParticleDataEntry</code> object of the
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particle, based on its current <code>id</code> code.
726
<code><aloc href="EventRecord">Event</aloc></code>
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class also contains a few methods defined for individual particles,
728
but these may require some search in the event record and therefore
729
cannot be defined as <code>Particle</code> methods.
732
Currently there is no information on polarization states.
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