Scalar Mesons and glueballs in $Dp-Dq$ hard-wall models

TL;DR

This paper explores scalar mesons and glueballs within various Dp-Dq hard-wall holographic models, identifying which configurations best match experimental and lattice QCD results for scalar meson and glueball masses.

Contribution

It demonstrates that only the D4-D6 and D4-D8 hard-wall models accurately predict scalar meson and glueball masses, highlighting their suitability for realistic holographic QCD modeling.

Findings

D4-D6 and D4-D8 models match experimental/lattice masses

Only specific Dp-Dq models produce realistic scalar meson results

Supports D4-D6 and D4-D8 as preferred holographic QCD models

Abstract

We investigate light scalar mesons and glueballs in the $Dp-Dq$ hard-wall models, including $D3-Dq$, $D4-Dq$, and $D6-Dq$ systems. It is found that only in the $D4-D6$ and $D4-D8$ hard wall models, the predicted masses of the ${\bar q} q$ scalar meson $f_0$, scalar glueball are consistent with their experimental or lattice results. This indicates that $D4-D6$ and $D4-D8$ hard-wall models are favorite candidates of the realistic holographic QCD model.