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<head>
<title>Onia Processes</title>
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<h2>Onia Processes</h2>
Production of any <i>3S1</i>, <i>3PJ</i>, and <i>3DJ</i> charmonium
and bottomonium states via the colour-singlet and colour-octet
mechanisms. This includes by default, but is not limited to, production of
the <i>3S1</i> <i>J/psi</i> and <i>Upsilon</i> and their
radially excited states, as well as the <i>3PJ</i> <i>chi</i>
states and the <i>3D1</i> <i>psi(3770)</i>. In each process the
heavy quark content, either <i>ccbar</i> or <i>bbbar</i>, is
followed by a round-bracketed expression which specifies the physical
state in spectroscopic notation, <i>(2S+1) L J</i>. Proceding this
is a square-bracketed expression, also in spectroscopic notation,
which specifies the Fock state through which the process occurs,
where <i>(1)</i> indicates a colour-singlet state and <i>(8)</i> a
colour-octet state.
<p> The unphysical colour-octet states follow the <code>id</code>
scheme of <i>99 n_q n_s n_r n_L n_J</i> where <i>n_q</i> is the
quark flavour of the state and <i>n_s</i> is the colour-octet state
type. Here <i>0</i> is <i>3S1</i>, <i>1</i> is <i>1S0</i>,
and <i>2</i> is <i>3PJ</i>. All remaining numbers follow the
standard PDG numbering scheme. If a physical state is requested
without a corresponding colour-octet state, a colour-octet state is
automatically added to the <code>ParticleData</code>
when a colour-octet process is selected. The colour-octet state is
created with a mass given by the mass of the physical state plus the
singlet-octet mass splitting parameter <code>Onia:massSplit</code>,
which is by default set at 200 MeV, and decays exclusively
to a gluon and the physical state. If the user wishes to manually
set the mass splitting for each colour-octet state individually
then <code>Onia:forceMassSplit</code> can be set to <i>off</i>.
By default the widths of the octet states are set to vanish.
This is not realistic, given their presumably rather rapid decay,
but a nonvanishing width is not likely to have any measurable
consequences that go beyond what comes from viewing the singlet-octet
mass splitting as an effective parameter.
<p/>
The original Fortran code for these processes has been contributed
by Stefan Wolf [unpublished]. For the C++ version only the unpolarized
expressions are retained, since the theoretical predictions of the
colour-octet model anyway do not agree with the experimental
observations. Furthermore, the polarization effects are modest,
so isotropic decay is not a bad starting point. Such an event sample
can afterwards be reweighted at will by the user, to test various
assumptions. The expressions for the colour-singlet production of
the <i>3S1</i> and <i>3PJ</i> states can be found
in [<a href="Bibliography.html" target="page">Bai83</a>] and [<a href="Bibliography.html" target="page">Gas87</a>]. Colour-octet expressions can
be found in [<a href="Bibliography.html" target="page">Cho96</a>] for the <i>1S0</i>, <i>3S1</i>,
and <i>3PJ</i> states, and the matrix elements for the <i>3DJ</i>
states are taken from [<a href="Bibliography.html" target="page">Yua98</a>].
<p/>
The implementation of charmonium and bottomonium production, including
the colour-octet production mechanism, requires information on
long-distance NRQCD matrix elements for the various wavefunctions
involved. Default values for these are encoded in the <i>O</i>
parameters and are taken from [<a href="Bibliography.html" target="page">Nas00</a>]; see
also [<a href="Bibliography.html" target="page">Bar07</a>]. The <i>3DJ</i> long-distance matrix elements
are extracted from [<a href="Bibliography.html" target="page">Yua98</a>].
<p/>
Note that states that differ only by the radial excitation number
<i>n_r</i> share the same short-dinstence matrix elements. The
program has therefore been written such that further radial excitations
can be easily added by editing this file, without requiring a recompilation
of the code. All related arrays must be expanded in exactly the same way,
however, i.e. the code of the colour singlet state, the long-distance
matrix elements and the individual process on/off switches.
<p/>
The description of
<a href="TimelikeShowers.html" target="page">final-state radiation</a>
is in this case based on some further model assumptions.
<p/>
Most of the processes below are divergent in the limit <i>pT → 0</i>,
and therefore a <i>pTmin</i> scale should be set. Comparisons with
data indicate that this divergence can be tamed the same way as for
the normal QCD <i>2 → 2</i> cross sections [<a href="Bibliography.html" target="page">Bar07,Kra08</a>],
which makes sense, since they are all dominated by the same kind of
<i>t</i>-channel gluon exchange. It is therefore possible to use the
<a href="UserHooks.html" target="page">SuppressSmallPT</a> user hook to impose a
reweighting that cancels the low-<i>pT</i> divergence.
<p/>
An eikonalized description of these processes is included in the
multiparton-interactions framework. Here the low-<i>pT</i> dampening
is automatic, and additionally the framework is more consistent
(e.g. with respect to energy-momentum constraints and the
impact-parameter description) for events where the onium production
is not the hardest subprocess, as would often be the case in the
low-<i>pT</i> limit.
<p/><code>flag </code><strong> Onia:forceMassSplit </strong>
(<code>default = <strong>on</strong></code>)<br/>
Force the mass splitting between the colour-singlet states and their
corresponding colour-octet state to be <code>Onia:massSplit</code>.
<p/><code>parm </code><strong> Onia:massSplit </strong>
(<code>default = <strong>0.2</strong></code>; <code>minimum = 0.0</code>; <code>maximum = 1.0</code>)<br/>
Mass splitting in GeV between the physical colour-singlet
states and their corresponding colour-octet state.
<p/><code>flag </code><strong> Onia:all </strong>
(<code>default = <strong>off</strong></code>)<br/>
Common switch for the group of onia production.
<p/><code>flag </code><strong> Onia:all(3S1) </strong>
(<code>default = <strong>off</strong></code>)<br/>
Common switch for the group of <i>3S1</i> onia production,
e.g. <i>J/psi</i> and <i>Upsilon</i>.
<p/><code>flag </code><strong> Onia:all(3PJ) </strong>
(<code>default = <strong>off</strong></code>)<br/>
Common switch for the group of <i>3PJ</i> onia production,
e.g. <i>chi_c</i> and <i>chi_b</i>.
<p/><code>flag </code><strong> Onia:all(3DJ) </strong>
(<code>default = <strong>off</strong></code>)<br/>
Common switch for the group of <i>3DJ</i> onia production,
e.g. <i>psi(3770)</i>.
<p/><code>flag </code><strong> Charmonium:all </strong>
(<code>default = <strong>off</strong></code>)<br/>
Common switch for the group of charmonium production,
e.g. <i>J/psi</i> and <i>chi_c</i>.
<p/><code>flag </code><strong> Bottomonium:all </strong>
(<code>default = <strong>off</strong></code>)<br/>
Common switch for the group of bottomonium production,
e.g. <i>Upsilon</i> and <i>chi_b</i>.
<h3>Charmonium 3S1 States</h3>
<p/><code>mvec </code><strong> Charmonium:states(3S1) </strong>
(<code>default = <strong>443,100443</strong></code>; <code>minimum = 0</code>)<br/>
The <i>3S1</i> charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
<p/><code>pvec </code><strong> Charmonium:O(3S1)[3S1(1)] </strong>
(<code>default = <strong>1.16,0.76</strong></code>; <code>minimum = 0.0</code>)<br/>
The colour-singlet long-distance matrix
elements <i><O[3S1(1)]></i> for the <i>3S1</i> charmonium states.
<p/><code>pvec </code><strong> Charmonium:O(3S1)[3S1(8)] </strong>
(<code>default = <strong>0.0119,0.0050</strong></code>; <code>minimum = 0.0</code>)<br/>
The colour-octet long-distance matrix
elements <i><O[3S1(8)]></i> for the <i>3S1</i> charmonium states.
<p/><code>pvec </code><strong> Charmonium:O(3S1)[1S0(8)] </strong>
(<code>default = <strong>0.01,0.004</strong></code>; <code>minimum = 0.0</code>)<br/>
The colour-octet long-distance matrix
elements <i><O[1S0(8)]></i> for the <i>3S1</i>
charmonium states.
<p/><code>pvec </code><strong> Charmonium:O(3S1)[3P0(8)] </strong>
(<code>default = <strong>0.01,0.004</strong></code>; <code>minimum = 0.0</code>)<br/>
The colour-octet long-distance matrix
elements <i><O[3P0(8)]>/m_Q^2</i> for the <i>3S1</i> charmonium
states. The remaining <i><O[3PJ(8)]>/m_Q^2</i>
are calculated from these long-distance matrix elements.
<p/><code>fvec </code><strong> Charmonium:gg2ccbar(3S1)[3S1(1)]g </strong>
(<code>default = <strong>off,off</strong></code>)<br/>
Colour-singlet production of <i>3S1</i> charmonium states via
<i>g g → ccbar[3S1(1)] g</i>.
Code 401.
<p/><code>fvec </code><strong> Charmonium:gg2ccbar(3S1)[3S1(8)]g </strong>
(<code>default = <strong>off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> charmonium states via
<i>g g → ccbar[3S1(8)] g</i>.
Code 402.
<p/><code>fvec </code><strong> Charmonium:qg2ccbar(3S1)[3S1(8)]q </strong>
(<code>default = <strong>off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> charmonium states via
<i>q g → ccbar[3S1(8)] q</i>.
Code 403.
<p/><code>fvec </code><strong> Charmonium:qqbar2ccbar(3S1)[3S1(8)]g </strong>
(<code>default = <strong>off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> charmonium states via
<i>q qbar → ccbar[3S1(8)] g</i>.
Code 404.
<p/><code>fvec </code><strong> Charmonium:gg2ccbar(3S1)[1S0(8)]g </strong>
(<code>default = <strong>off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> charmonium states via
<i>g g → ccbar[1S0(8)] g</i>.
Code 405.
<p/><code>fvec </code><strong> Charmonium:qg2ccbar(3S1)[1S0(8)]q </strong>
(<code>default = <strong>off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> charmonium states via
<i>q g → ccbar[1S0(8)] q</i>.
Code 406.
<p/><code>fvec </code><strong> Charmonium:qqbar2ccbar(3S1)[1S0(8)]g </strong>
(<code>default = <strong>off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> charmonium states via
<i>q qbar → ccbar[1S0(8)] g</i>.
Code 407.
<p/><code>fvec </code><strong> Charmonium:gg2ccbar(3S1)[3PJ(8)]g </strong>
(<code>default = <strong>off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> charmonium states via
<i>g g → ccbar[3PJ(8)] g</i>.
Code 408.
<p/><code>fvec </code><strong> Charmonium:qg2ccbar(3S1)[3PJ(8)]q </strong>
(<code>default = <strong>off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> charmonium states via
<i>q g → ccbar[3PJ(8)] q</i>.
Code 409.
<p/><code>fvec </code><strong> Charmonium:qqbar2ccbar(3S1)[3PJ(8)]g </strong>
(<code>default = <strong>off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> charmonium states via
<i>q qbar → ccbar[3SJ(8)] g</i>.
Code 410.
<h3>Charmonium 3PJ States</h3>
<p/><code>mvec </code><strong> Charmonium:states(3PJ) </strong>
(<code>default = <strong>10441,20443,445</strong></code>)<br/>
The <i>3PJ</i> charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
<p/><code>pvec </code><strong> Charmonium:O(3PJ)[3P0(1)] </strong>
(<code>default = <strong>0.05,0.05,0.05</strong></code>; <code>minimum = 0.0</code>)<br/>
The color-singlet long-distance matrix elements
<i><O[3P0(1)]>/m_Q^2</i> for the <i>3PJ</i> charmonium
states. The remaining <i><O[3PJ(1)]>/m_Q^2</i>
are calculated from these long-distance matrix elements.
<p/><code>pvec </code><strong> Charmonium:O(3PJ)[3S1(8)] </strong>
(<code>default = <strong>0.0031,0.0031,0.0031</strong></code>; <code>minimum = 0.0</code>)<br/>
The color-singlet long-distance matrix elements
<i><O[3S1(8)]></i> for the <i>3PJ</i> charmonium states.
<p/><code>fvec </code><strong> Charmonium:gg2ccbar(3PJ)[3PJ(1)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-singlet production of <i>3PJ</i> charmonium states via
<i>g g → ccbar[3PJ(1)] g</i>.
Code 411.
<p/><code>fvec </code><strong> Charmonium:qg2ccbar(3PJ)[3PJ(1)]q </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-singlet production of <i>3PJ</i> charmonium states via
<i>q g → ccbar[3PJ(1)] q</i>.
Code 412.
<p/><code>fvec </code><strong> Charmonium:qqbar2ccbar(3PJ)[3PJ(1)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-singlet production of <i>3PJ</i> charmonium states via
<i>q qbar → ccbar[3PJ(1)] g</i>.
Code 413.
<p/><code>fvec </code><strong> Charmonium:gg2ccbar(3PJ)[3S1(8)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3PJ</i> charmonium states via
<i>g g → ccbar[3S1(8)] g</i>.
Code 414.
<p/><code>fvec </code><strong> Charmonium:qg2ccbar(3PJ)[3S1(8)]q </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3PJ</i> charmonium states via
<i>q g → ccbar[3S1(8)] q</i>.
Code 415.
<p/><code>fvec </code><strong> Charmonium:qqbar2ccbar(3PJ)[3S1(8)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3PJ</i> charmonium states via
<i>q qbar → ccbar[3S1(8)] g</i>.
Code 416.
<h3>Charmonium 3DJ States</h3>
<p/><code>mvec </code><strong> Charmonium:states(3DJ) </strong>
(<code>default = <strong>30443</strong></code>)<br/>
The <i>3DJ</i> charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
<p/><code>pvec </code><strong> Charmonium:O(3DJ)[3D1(1)] </strong>
(<code>default = <strong>0.161</strong></code>; <code>minimum = 0.0</code>)<br/>
The color-singlet long-distance matrix elements
<i><O[3D1(1)]></i> for the <i>3PJ</i> charmonium
states. For a <i>3DJ</i> charmonium state where <i>J</i> is
not <i>1</i> the long distance matrix
element <i><O[3DJ(1)]></i> is calculated
by <i>(2J+1)<O[3D1(1)]/3></i> using leading order spin symmetry
relations.
<p/><code>pvec </code><strong> Charmonium:O(3DJ)[3P0(8)] </strong>
(<code>default = <strong>0.01</strong></code>; <code>minimum = 0.0</code>)<br/>
The colour-octet long-distance matrix
elements <i><O[3P0(8)]>/m_Q^2</i> for the 3DJ charmonium
states. The remaining <i><O[3PJ(8)]>/m_Q^2</i>
are calculated from these long-distance matrix elements.
<p/><code>fvec </code><strong> Charmonium:gg2ccbar(3DJ)[3DJ(1)]g </strong>
(<code>default = <strong>off</strong></code>)<br/>
Colour-singlet production of <i>3PJ</i> charmonium states via
<i>g g → ccbar[3DJ(1)] g</i>.
Code 417.
<p/><code>fvec </code><strong> Charmonium:gg2ccbar(3DJ)[3PJ(8)]g </strong>
(<code>default = <strong>off</strong></code>)<br/>
Colour-octet production of <i>3DJ</i> charmonium states via
<i>g g → ccbar[3PJ(8)] g</i>.
Code 418.
<p/><code>fvec </code><strong> Charmonium:qg2ccbar(3DJ)[3PJ(8)]q </strong>
(<code>default = <strong>off</strong></code>)<br/>
Colour-octet production of <i>3DJ</i> charmonium states via
<i>q g → ccbar[3PJ(8)] q</i>.
Code 419.
<p/><code>fvec </code><strong> Charmonium:qqbar2ccbar(3DJ)[3PJ(8)]g </strong>
(<code>default = <strong>off</strong></code>)<br/>
Colour-octet production of <i>3DJ</i> charmonium states via
<i>q qbar → ccbar[3PJ(8)] g</i>.
Code 420.
<h3>Bottomonium 3S1 States</h3>
<p/><code>mvec </code><strong> Bottomonium:states(3S1) </strong>
(<code>default = <strong>553,100553,200553</strong></code>; <code>minimum = 0</code>)<br/>
The <i>3S1</i> bottomonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
<p/><code>pvec </code><strong> Bottomonium:O(3S1)[3S1(1)] </strong>
(<code>default = <strong>9.28,4.63,3.54</strong></code>; <code>minimum = 0.0</code>)<br/>
The colour-singlet long-distance matrix
elements <i><O[3S1(1)]></i> for the <i>3S1</i> bottomonium states.
<p/><code>pvec </code><strong> Bottomonium:O(3S1)[3S1(8)] </strong>
(<code>default = <strong>0.15,0.045,0.075</strong></code>; <code>minimum = 0.0</code>)<br/>
The colour-octet long-distance matrix
elements <i><O[3S1(8)]></i> for the <i>3S1</i> bottomonium states.
<p/><code>pvec </code><strong> Bottomonium:O(3S1)[1S0(8)] </strong>
(<code>default = <strong>0.02,0.06,0.1</strong></code>; <code>minimum = 0.0</code>)<br/>
The colour-octet long-distance matrix
elements <i><O[1S0(8)]></i> for the <i>3S1</i>
bottomonium states.
<p/><code>pvec </code><strong> Bottomonium:O(3S1)[3P0(8)] </strong>
(<code>default = <strong>0.02,0.06,0.1</strong></code>; <code>minimum = 0.0</code>)<br/>
The colour-octet long-distance matrix
elements <i><O[3P0(8)]>/m_Q^2</i> for the <i>3S1</i> bottomonium
states. The remaining <i><O[3PJ(8)]>/m_Q^2</i>
are calculated from these long-distance matrix elements.
<p/><code>fvec </code><strong> Bottomonium:gg2bbbar(3S1)[3S1(1)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-singlet production of <i>3S1</i> bottomonium states via
<i>g g → bbbar[3S1(1)] g</i>.
Code 501.
<p/><code>fvec </code><strong> Bottomonium:gg2bbbar(3S1)[3S1(8)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> bottomonium states via
<i>g g → bbbar[3S1(8)] g</i>.
Code 502.
<p/><code>fvec </code><strong> Bottomonium:qg2bbbar(3S1)[3S1(8)]q </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> bottomonium states via
<i>q g → bbbar[3S1(8)] q</i>.
Code 503.
<p/><code>fvec </code><strong> Bottomonium:qqbar2bbbar(3S1)[3S1(8)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> bottomonium states via
<i>q qbar → bbbar[3S1(8)] g</i>.
Code 504.
<p/><code>fvec </code><strong> Bottomonium:gg2bbbar(3S1)[1S0(8)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> bottomonium states via
<i>g g → bbbar[1S0(8)] g</i>.
Code 505.
<p/><code>fvec </code><strong> Bottomonium:qg2bbbar(3S1)[1S0(8)]q </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> bottomonium states via
<i>q g → bbbar[1S0(8)] q</i>.
Code 506.
<p/><code>fvec </code><strong> Bottomonium:qqbar2bbbar(3S1)[1S0(8)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> bottomonium states via
<i>q qbar → bbbar[1S0(8)] g</i>.
Code 507.
<p/><code>fvec </code><strong> Bottomonium:gg2bbbar(3S1)[3PJ(8)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> bottomonium states via
<i>g g → bbbar[3PJ(8)] g</i>.
Code 508.
<p/><code>fvec </code><strong> Bottomonium:qg2bbbar(3S1)[3PJ(8)]q </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> bottomonium states via
<i>q g → bbbar[3PJ(8)] q</i>.
Code 509.
<p/><code>fvec </code><strong> Bottomonium:qqbar2bbbar(3S1)[3PJ(8)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3S1</i> bottomonium states via
<i>q qbar → bbbar[3SJ(8)] g</i>.
Code 510.
<h3>Bottomonium 3PJ States</h3>
<p/><code>mvec </code><strong> Bottomonium:states(3PJ) </strong>
(<code>default = <strong>10551,20553,555</strong></code>)<br/>
The <i>3PJ</i> bottomonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
<p/><code>pvec </code><strong> Bottomonium:O(3PJ)[3P0(1)] </strong>
(<code>default = <strong>0.085,0.085,0.085</strong></code>; <code>minimum = 0.0</code>)<br/>
The color-singlet long-distance matrix elements
<i><O[3P0(1)]>/m_Q^2</i> for the <i>3PJ</i> bottomonium
states. The remaining <i><O[3PJ(1)]>/m_Q^2</i>
are calculated from these long-distance matrix elements.
<p/><code>pvec </code><strong> Bottomonium:O(3PJ)[3S1(8)] </strong>
(<code>default = <strong>0.04,0.04,0.04</strong></code>; <code>minimum = 0.0</code>)<br/>
The color-singlet long-distance matrix elements
<i><O[3S1(8)]></i> for the <i>3PJ</i> bottomonium states.
<p/><code>fvec </code><strong> Bottomonium:gg2bbbar(3PJ)[3PJ(1)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-singlet production of <i>3PJ</i> bottomonium states via
<i>g g → bbbar[3PJ(1)] g</i>.
Code 511.
<p/><code>fvec </code><strong> Bottomonium:qg2bbbar(3PJ)[3PJ(1)]q </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-singlet production of <i>3PJ</i> bottomonium states via
<i>q g → bbbar[3PJ(1)] q</i>.
Code 512.
<p/><code>fvec </code><strong> Bottomonium:qqbar2bbbar(3PJ)[3PJ(1)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-singlet production of <i>3PJ</i> bottomonium states via
<i>q qbar → bbbar[3PJ(1)] g</i>.
Code 513.
<p/><code>fvec </code><strong> Bottomonium:gg2bbbar(3PJ)[3S1(8)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3PJ</i> bottomonium states via
<i>g g → bbbar[3S1(8)] g</i>.
Code 514.
<p/><code>fvec </code><strong> Bottomonium:qg2bbbar(3PJ)[3S1(8)]q </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3PJ</i> bottomonium states via
<i>q g → bbbar[3S1(8)] q</i>.
Code 515.
<p/><code>fvec </code><strong> Bottomonium:qqbar2bbbar(3PJ)[3S1(8)]g </strong>
(<code>default = <strong>off,off,off</strong></code>)<br/>
Colour-octet production of <i>3PJ</i> bottomonium states via
<i>q qbar → bbbar[3S1(8)] g</i>.
Code 516.
<h3>Bottomonium 3DJ States</h3>
<p/><code>mvec </code><strong> Bottomonium:states(3DJ) </strong> <br/>
The <i>3DJ</i> bottomonium states that can be produced from the following
processes. Currently, no <i>3DJ</i> states are included in the
default <code>ParticleData</code> and so none are included here. Note
that all vectors within this section, either of flags or parameters,
must be the same length as this vector.
<p/><code>pvec </code><strong> Bottomonium:O(3DJ)[3D1(1)] </strong>
(; <code>minimum = 0.0</code>)<br/>
The color-singlet long-distance matrix elements
<i><O[3D1(1)]></i> for the <i>3PJ</i> bottomonium
states. For a <i>3DJ</i> bottomonium state where <i>J</i> is
not <i>1</i> the long distance matrix
element <i><O[3DJ(1)]></i> is calculated
by <i>(2J+1)<O[3D1(1)]/3></i> using leading order spin symmetry
relations.
<p/><code>pvec </code><strong> Bottomonium:O(3DJ)[3P0(8)] </strong>
(; <code>minimum = 0.0</code>)<br/>
The colour-octet long-distance matrix
elements <i><O[3P0(8)]>/m_Q^2</i> for the 3DJ bottomonium
states. The remaining <i><O[3PJ(8)]>/m_Q^2</i>
are calculated from these long-distance matrix elements.
<p/><code>fvec </code><strong> Bottomonium:gg2bbbar(3DJ)[3DJ(1)]g </strong> <br/>
Colour-singlet production of <i>3PJ</i> bottomonium states via
<i>g g → bbbar[3DJ(1)] g</i>.
Code 517.
<p/><code>fvec </code><strong> Bottomonium:gg2bbbar(3DJ)[3PJ(8)]g </strong> <br/>
Colour-octet production of <i>3DJ</i> bottomonium states via
<i>g g → bbbar[3PJ(8)] g</i>.
Code 518.
<p/><code>fvec </code><strong> Bottomonium:qg2bbbar(3DJ)[3PJ(8)]q </strong> <br/>
Colour-octet production of <i>3DJ</i> bottomonium states via
<i>q g → bbbar[3PJ(8)] q</i>.
Code 519.
<p/><code>fvec </code><strong> Bottomonium:qqbar2bbbar(3DJ)[3PJ(8)]g </strong> <br/>
Colour-octet production of <i>3DJ</i> bottomonium states via
<i>q qbar → bbbar[3PJ(8)] g</i>.
Code 520.
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