Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-04-14
Nucl.Phys.A850:110-135,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
Updated version contains extended analysis and revised analysis methods. 21 pages, 14 figures
Scientific paper
10.1016/j.nuclphysa.2010.12.005
Gaussian QCD sum-rules are ideally suited to the study of mixed states of gluonium (glueballs) and quark ($q\bar q$) mesons because of their capability to resolve widely-separated states of comparable strength. The analysis of the Gaussian QCD sum-rules (GSRs) for all possible two-point correlation functions of gluonic and non-strange ($I=0$) quark scalar ($J^{PC}=0^{++}$) currents is discussed. For the non-diagonal sum-rule of gluonic and $q\bar q$ currents we show that perturbative and gluon condensate contributions are chirally suppressed compared to non-perturbative effects of the quark condensate, mixed condensate, and instantons, implying that the mixing of quark mesons and gluonium is of non-perturbative origin. The independent predictions of the masses and relative coupling strengths from the non-diagonal and the two diagonal GSRs are remarkably consistent with a scenario of two states with masses of approximately 1 GeV and 1.4 GeV that couple to significant mixtures of quark and gluonic currents. The mixing is nearly maximal with the heavier mixed state having a slightly larger coupling to gluonic currents than the lighter state.
Harnett Daniel
Kleiv R. T.
Moats Ken
~Steele ~G. T.
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