Light meson mass dependence of the positive-parity heavy-strange mesons
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
Accepted: 10 December 2010
Published online: 3 February 2011
We calculate the masses of the resonances and as well as their bottom partners as bound states of a kaon and a - and -meson, respectively, in unitarized chiral perturbation theory at next-to-leading order. After fixing the parameters in the channel, the calculated mass for the is found in excellent agreement with experiment. The masses for the analogous states with a bottom quark are predicted to be MeV and MeV in reasonable agreement with previous analyses. In particular, we predict 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.
© SIF, Springer-Verlag Berlin Heidelberg, 2011