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

M. Cleven; F.-K. Guo; C. Hanhart; U.-G. Meißner

doi:10.1140/epja/i2011-11019-2

EPJ

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2023 Impact factor 2.6

Hadrons and Nuclei

Eur. Phys. J. A 47, 19 (2011)
https://doi.org/10.1140/epja/i2011-11019-2

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

M. Cleven¹, F.-K. Guo¹, C. Hanhart¹^,2 and U.-G. Meißner¹^,2^,3

¹ Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
² Institute for Advanced Simulation, Forschungszentrum Jülich, D-52425, Jülich, Germany
³ Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany

m.cleven@fz-juelich.de

Received: 23 September 2010
Accepted: 10 December 2010
Published online: 3 February 2011

Abstract

We calculate the masses of the resonances $\ensuremath D_{s0}^{\ast}(2317)$ and $\ensuremath D_{s1}(2460)$ as well as their bottom partners as bound states of a kaon and a $\ensuremath D^{(\ast)}$ - and $\ensuremath B^{(\ast)}$ -meson, respectively, in unitarized chiral perturbation theory at next-to-leading order. After fixing the parameters in the $\ensuremath D_{s0}^{\ast}(2317)$ channel, the calculated mass for the $\ensuremath D_{s1}(2460)$ is found in excellent agreement with experiment. The masses for the analogous states with a bottom quark are predicted to be $\ensuremath M_{B^{\ast}_{s0}}=(5696\pm 40)$ MeV and $\ensuremath M_{B_{s1}}=(5742\pm 40)$ MeV in reasonable agreement with previous analyses. In particular, we predict $\ensuremath M_{B_{s1}}{-}M_{B_{s0}^{\ast}}=46\pm 1$ 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.