Light meson mass dependence of the positive-parity heavy-strange mesons |
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Authors: | M Cleven F -K Guo C Hanhart U -G Meißner |
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Institution: | 1.Institut für Kernphysik and Jülich Center for Hadron Physics,Forschungszentrum Jülich,Jülich,Germany;2.Institute for Advanced Simulation,Forschungszentrum Jülich,Jülich,Germany;3.Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics,Universit?t Bonn,Bonn,Germany |
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Abstract: | We calculate the masses of the resonances Ds0*(2317)\ensuremath D_{s0}^{\ast}(2317) and Ds1(2460)\ensuremath D_{s1}(2460) as well as their bottom partners as bound states of a kaon and a D(*)\ensuremath D^{(\ast)} - and B(*)\ensuremath B^{(\ast)} -meson, respectively, in unitarized chiral perturbation theory at next-to-leading order. After fixing the parameters in the
Ds0*(2317)\ensuremath D_{s0}^{\ast}(2317) channel, the calculated mass for the Ds1(2460)\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 MB*s0=(5696±40)\ensuremath M_{B^{\ast}_{s0}}=(5696\pm 40) MeV and MBs1=(5742±40)\ensuremath M_{B_{s1}}=(5742\pm 40) MeV in reasonable agreement with previous analyses. In particular, we predict MBs1-MBs0*=46±1\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. |
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