Predictive AdS/QCD Model for Mass Spectra of Mesons with Three Flavors

Abstract

The predictive soft-wall AdS/QCD model with a modified 5D metric at the infrared region is constructed to obtain a non-trivial dilaton solution for three flavor quarks $u$, $d$ and $s$. Such a model is shown to incorporate both the chiral symmetry breaking and linear confinement. After considering some high-order terms including the $U(1{)}_L\times U(1{)}_R$ chiral symmetry breaking term, we find that the resulting predictions for the SU(3) octet and singlet resonance states of pseudoscalar, scalar, vector and axial-vector mesons agree well with the experimentally confirmed resonance states. Contributions from the instanton effects given by the determinant term are also discussed. It is observed that the chiral symmetry breaking phenomena of $SU(3{)}_L\times SU(3{)}_R$ and $U(1{)}_L\times U(1{)}_R$ can be well described in this model, while the SU(3) flavor symmetry breaking effect due to quark mass difference in the source term is not enough to explain all of the current experimental data.

20 pages, 1 figure, minor corrections, reference added, to appear in Phys. Rev. D

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