Light meson mass dependence of the positive parity heavy-strange mesons

TL;DR

This paper calculates the masses of certain heavy-strange mesons and their bottom partners using unitarized chiral perturbation theory, predicting their properties and exploring how these masses depend on pion and kaon masses, with implications for lattice QCD.

Contribution

The study provides new mass predictions for bottom-strange mesons and analyzes their dependence on meson masses, supporting their molecular nature and guiding future lattice QCD investigations.

Findings

Predicted bottom-strange meson masses with uncertainties.

Found linear kaon mass dependence consistent with molecular states.

Predicted mass difference between B_{s1} and B_{s0}^* states.

Abstract

We calculate the masses of the resonances D_{s0}^*(2317) and D_{s1}(2460) as well as their bottom partners as bound states of a kaon and a D^*- and B^*-meson, respectively, in unitarized chiral perturbation theory at next-to-leading order. After fixing the parameters in the D_{s0}^*(2317) channel, the calculated mass for the D_{s1}(2460) is found in excellent agreement with experiment. The masses for the analogous states with a bottom quark are predicted to be M_{B^*_{s0}}=(5696\pm 40) MeV and M_{B_{s1}}=(5742\pm 40) MeV in reasonable agreement with previous analyses. In particular, we predict M_{B_{s1}}-M_{B_{s0}^*}=46\pm 1 MeV. We also explore the dependence of the states on the pion and kaon masses. We argue that the kaon mass dependence of a kaonic bound state should be almost linear with slope about unity. Such a dependence is specific to the assumed molecular nature of the states. We suggest to extract the kaon mass dependence of these states from lattice QCD calculations.