Journal Article PreJuSER-18600

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

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2011
Springer Berlin

The European physical journal / A 47, 19 () [10.1140/epja/i2011-11019-2]

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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 MB*(s0) - (5696 +/- 40) MeV and M-Bs1 - (5742 +/- 40) MeV in reasonable agreement with previous analyses. In particular, we predict M-Bs1-MB*(s0) - 46 +/- 1MeV. 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.

Keyword(s): K: mass ; perturbation theory: chiral ; higher-order: 1 ; D/s0*(2317): mass: calculated ; D/s1(2460): mass: calculated ; bottom meson: mass: calculated ; meson meson: bound state ; pi: mass ; Goldstone particle: scattering amplitude ; coupled channel ; binding energy ; numerical calculations


Note: This work is partially supported by the Helmholtz Association through funds provided to the Virtual Institute "Spin and strong QCD" (VH-VI-231) and by the DFG (TR 16, "Subnuclear Structure of Matter"), the European Community-Research Infrastructure Integrating Activity "Study of Strongly Interacting Matter" (acronym Hadron-Physics2, Grant Agreement No. 227431) under the FP7 of the EU, and the BMBF (Grant No. 06BN9006).; 10 pages; 10 pages

Contributing Institute(s):
  1. Theoretische Kernphysik (IKP-3)

Appears in the scientific report 2011
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