Quark model with Hidden Local Symmetry and its application to $T_{cc}$

TL;DR

This paper introduces a chiral quark model incorporating vector mesons, significantly improving baryon mass predictions and providing a more accurate estimate for the tetraquark $T_{cc}$, with potential applications to multi-quark systems.

Contribution

The paper develops a chiral quark model with vector mesons, enhancing baryon and tetraquark mass predictions compared to models without vector mesons.

Findings

Baryon masses are dramatically improved with vector mesons.

Tetraquark $T_{cc}$ mass prediction is closer to experimental data.

The model can be extended to study other multi-quark systems.

Abstract

We propose a chiral quark model including the $\omega$ and $\rho$ meson contributions in addition to the $\pi$ and $\sigma$ meson contributions. We show that the masses of the ground state baryons such as the nucleon, $\Lambda_c$ and $\Lambda_b$ are dramatically improved in the model with the vector mesons compared with the one without them. The study of the tetraquark $T_{cc}$ is also performed in a coupled channel calculation and the resultant mass is much closer to its experimental value than the result without vector meson contribution. This approach can be applied to the future study of multi-quark systems.