How to identify gluonium states using QCD counting rules
Abstract
Verifying the existence of bound states of gluons and distinguishing them from conventional quark-antiquark, hybrid or tetraquark states has remained a key problem in QCD. We show that QCD counting rules for the power-law fall-off of production cross sections at high momentum transfer can be used to distinguish gluonium states from conventional hadrons. The valence two-gluon contribution to a 0^+ gluonium bound state has L=0 and thus twist (dimension minus spin of their minimum interpolating operators) tau=2. The competing twist assignments for scalar f_0 mesons have twist tau = 3 for the valence |q qbar > configuration or |qqbar g> in an s-wave, and tau >= 4 for |q qbar qbar q > tetraquarks, etc. Thus, the production cross section for mesons with quark-containing valence wavefunctions relative to glueball production should be suppressed by at least a power of momentum transfer. Distinguishing these processes is feasible in exclusive e^-e^+ --> phi f_0 reactions at 9 and 11 GeV center of mass energy at Belle-II. In the case of single-particle inclusive hadroproduction A B --> C X, the cross section for scalar gluonium production at high transverse momentum p_T and fixed x_T = 2 p_T/sqrt(s) will dominate meson or tetraquark production by at least two powers of p_T.
Keywords
Cite
@article{arxiv.1812.10397,
title = {How to identify gluonium states using QCD counting rules},
author = {Felipe J. Llanes-Estrada and Stanley J. Brodsky},
journal= {arXiv preprint arXiv:1812.10397},
year = {2018}
}
Comments
Proceedings of the XIIIth International Conference on Quark Confinement and the Hadron Spectrum, Maynooth, Ireland, to appear in Proceedings of Science. See also arXiv:1810.08772