<html> <head> <title>Onia Processes</title> <link rel="stylesheet" type="text/css" href="pythia.css"/> <link rel="shortcut icon" href="pythia32.gif"/> </head> <body> <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 The original Fortran code for these processes has been contributed by Stefan Wolf [unpublished].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. </body> </html> <!-- Copyright (C) 2014 Torbjorn Sjostrand -->
