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

Abstract

Abstract. We calculate the masses of the resonances D * s0 (2317) and Ds1(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 Ds1(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 ± 40) MeV and MB s1 = (5742 ± 40) MeV in reasonable agreement with previous analyses. In particular, we predict MB s1 −M B * s0 = 46 ± 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.

One-loop analysis of the interactions between charmed mesons and Goldstone bosons

“…3 The vector charmed meson contributions, surviving in the heavy quark limit, are also taken into account numerically to estimate their influences, although it was shown in ref. [13] that their contribution to the S-wave scattering is small. Renormalization will be performed using the EOMS scheme and it will be shown explicitly that the UV divergences are cancelled properly and PCB terms are absorbed exactly by the counterterms, which ensures that the EOMS-renormalized D-φ scattering amplitudes possess the proper analytic, power counting, and scale-independent properties.…”

“…[45], can be constructed as 13) where the totally symmetrized product of three covariant derivatives is defined as…”

“…Here we only show the results using the 6-channel fits to the data with the pion mass up to 511 MeV, i.e. UChPT-6(b) and 13 However, not all of the LECs in these different unitarization methods ought to take the same values.…”

Masses and decay constants of the Ds0*(2317) and DBali1, Collins2, Cox3 et al. 2017Phys. Rev. D109131611View full textAdd to dashboardCite

“…Expressions for the (scalar) potential for K and D meson scattering can be derived within heavy meson chiral perturbation theory [81][82][83][84][85][86][87][88][89] (HMChPT). At leading order [81],…”

Scalar mesons in a finite volume

“…The molecular nature leads to a very peculiar kaon mass dependence of the molecule as shown in ref. [55]. The mass of aKK-molecule can be written as M mol = M K + MK − ǫ, with ǫ the small binding energy, ǫ ≪ M K .…”