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Near-Maximal Mixing of Scalar Gluonium and Quark Mesons: A Gaussian Sum-Rule Analysis | | D. Harnett
; K. Moats
; T.G. Steele
; | | Date: |
14 Apr 2008 | | Abstract: | Gaussian QCD sum-rules are ideally suited to the study of mixed states of
gluonium (glueballs) and quark ($qar q$) mesons because of their capability
to resolve widely-separated states of comparable strength. 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 are calculated and
analyzed. For the non-diagonal sum-rule of gluonic and $qar q$ currents we
show that perturbative contributions are chirally-suppressed compared to
non-perturbative effects of the quark 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 strongly-mixed states with masses of approximately $1 GeV$ and $1.4
GeV$. The mixing is nearly maximal with the heavier mixed state having a
slightly larger gluonium content than the lighter state. | | Source: | arXiv, 0804.2195 | | Services: | Forum | Review | PDF | Favorites | |
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