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The Glueball in a Chiral Linear Sigma Model with Vector Mesons

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arxiv 1103.3238 v1 pith:7W33SEBF submitted 2011-03-16 hep-ph nucl-th

classification hep-phnucl-th
keywords glueballchirallinearmesonsmodelphenomenologypredominantlyresonances
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a two-flavour linear sigma model with global chiral symmetry and (axial-)vector mesons as well as an additional glueball degree of freedom. We study the structure of the well-established scalar resonances f0(1370) and f0(1500): by a fit to experimentally known decay widths we find that f0(1370) is predominantly a \bar{q}q state and f0(1500) is predominantly a glueball state. The overall phenomenology of these two resonances can be well described. Other assignments for our mixed quarkonium-glueball states are also tested, but turn out to be in worse agreement with the phenomenology. As a by-product of our analysis, the gluon condensate is determined.

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  1. Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model

    nucl-th 2019-08 conditional novelty 6.0 of 10

    Combining the extended Linear Sigma Model with a parity doublet nucleon model, this paper predicts that most light meson masses drop in nuclear matter and favors a chiral invariant mass M0 around 0.8 GeV.

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