2008/04/30 by D. Harnett, R. T. Kleiv, K. Moats +1 · 1 citation
Physics and Astronomy · #hep-ph
paper · pdf · doi:10.1016/j.nuclphysa.2010.12.005
published as Nucl.Phys.A850:110-135,2011 · Updated version contains extended analysis and revised analysis methods. 21 pages, 14 figures
arxiv created 2011/01/07 · arxiv updated 2015/03/13
Gaussian QCD sum-rules are ideally suited to the study of mixed states of gluonium (glueballs) and quark (q 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 (JPC=0++) currents is discussed. For the non-diagonal sum-rule of gluonic and q 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.