$D_{s0}^{\ast \pm }(2317)$ and $KD$ scattering from $B_s^0$ decay

Abstract

We study the ${\bar{B}}_s^0\to D_s^{-}(DK{)}^{+}$ weak decay, and look at the $DK$ invariant mass distribution with the aim of obtaining relevant information on the nature of the $D_{s0}^{\ast +}(2317)$ resonance. We make a simulation of the experiment using the actual mass of the $D_{s0}^{\ast +}(2317)$ resonance and recent lattice QCD relevant parameters of the $KD$ scattering amplitude. We then solve the inverse problem of obtaining the $KD$ amplitude from these synthetic data, to which we have added a 5\% or 10\% error. We prove that one can obtain from these "data" the existence of a bound $KD$ state, the $KD$ scattering length and effective range, and most importantly, the $KD$ probability in the wave function of the bound state obtained, which was found to be largely dominant from the lattice QCD results. This means that one can obtain information on the nature of the $D_{s0}^{\ast +}(2317)$ resonance from the implementation of this experiment, in the line of finding the structure of resonances, which is one of the main aims in hadron spectroscopy.

6 pages, 3 figures. v2: New references and comments added in the Introduction

References in corpus (12)

• Dynamically Generated Open and Hidden Charm Meson Systems
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Strong and radiative decays of the Ds0*(2317) meson in the DK-molecule picture
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• $B^0$ and $B_s^0$ decays into $J/\psi$ $f_0(980)$ and $J/\psi$ $f_0(500)$ and the nature of the scalar resonances
• Couplings in coupled channels versus wave functions in the case of resonances: application to the two $\Lambda (1405)$ states
• Light meson mass dependence of the positive parity heavy-strange mesons
• Strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$
• Ds0*(2317) and Ds1(2460) mesons in two-body B-meson decays
• The radiative decay of $\psi (3770)$ into the predicted scalar state X(3700)
• Dalitz plot analyses of $B^0\to D^{-}{D}^0{K}^{+}$ and $B^{+}\to {\overline{D}}^0{D}^0{K}^{+}$ decays
• The $\sigma K$ coupling in the chiral unitary approach and the isoscalar $\bar{K}N$, $\bar{K}A$ interaction

Cited by in corpus (2)

• Charge-conjugation asymmetry and molecular content: the $D_{s0}^{\ast }(2317{)}^{\pm }$ in matter
• The $B^{+(0)}\to {\bar{D}}^{0(-)}{D}_{s0}^{\ast }(2317{)}^{+}$ decays and the molecular structure of $D_{s0}^{\ast }(2317)$