Heavy flavor molecular states with strangeness

TL;DR

This paper extends a quark-level interaction framework to predict and analyze loosely bound heavy flavor hadronic molecules with strangeness, considering SU(3) symmetry and breaking effects.

Contribution

It generalizes the framework to include heavy flavor di-hadron molecules with strangeness and explores their formation criteria and flavor-spin relations.

Findings

Predicted $D^{(*)}D^{(*)}_s$ molecular states in SU(3) limit.

Analyzed baryon-meson and baryon-baryon systems with SU(3) breaking.

Generalized isospin criterion to $U/V$ spin for molecule formation.

Abstract

We proposed a unified framework to describe the interactions of the observed $T_{cc}$, $P_c$, and $P_{cs}$ within a quark level interaction in our previous work. In this work, we generalize our framework to the loosely bound hadronic molecules composed of heavy flavor di-hadrons with strangeness. We predict the possible $D^{(*)}D^{(*)}_s$ molecular states in the SU(3) limit with the masses of the $P_c$ states as the inputs. We also investigate the baryon-meson and baryon-baryon systems and consider the SU(3) breaking effect in their flavor wave functions. We generalize our isospin criterion of the formation of heavy flavor di-hadron molecules to the $U/V$ spin case. For a specific heavy flavor meson-meson, baryon-meson, or baryon-baryon system, the interactions for the states with the same flavor and spin matrix elements can be related by a generalized flavor-spin symmetry.