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

TL;DR

This paper develops a modified soft-wall AdS/QCD model with a new 5D metric to accurately predict meson mass spectra involving three flavors, effectively capturing chiral symmetry breaking and confinement phenomena.

Contribution

It introduces a novel AdS/QCD model with a modified metric and high-order terms, improving predictions of meson spectra and chiral symmetry breaking effects for three-flavor quarks.

Findings

Predicted meson resonance states agree with experimental data.

The model effectively describes chiral symmetry breaking phenomena.

Flavor symmetry breaking due to quark masses is insufficient to match all data.

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.