$D_{s0}^{\ast }(2317)$ and $DK$ scattering in $B$ decays from BaBar and LHCb data

Abstract

We study the experimental $DK$ invariant mass spectra of the reactions $B^{+}\to {\bar{D}}^0{D}^0{K}^{+}$, $B^0\to D^{-}{D}^0{K}^{+}$ (measured by the BaBar Collaboration) and $B_s\to {\pi }^{+}{\bar{D}}^0{K}^{-}$ (measured by the LHCb Collaboration), where an enhancement right above the threshold is seen. We show that this enhancement is due to the presence of $D_{s0}^{\ast }(2317)$, which is a $DK$ bound state in the $I(J^P)=0(0^{+})$ sector. We employ a unitarized amplitude with an interaction potential fixed by heavy meson chiral perturbation theory. We obtain a mass $M_{D_{s0}^{\ast }}=2315_{-17}^{+12}{}_{-5}^{+10}\text{MeV}$, and we also show, by means of the Weinberg compositeness condition, that the $DK$ component in the wave function of this state is $P_{DK}=70_{-6}^{+4}{}_{-8}^{+4}\%$, where the first (second) error is statistical (systematic).

References in corpus (15)

• 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
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Light meson mass dependence of the positive parity heavy-strange mesons
• A Canonical Ds(2317)?
• 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
• Elastic s-wave B pi, D pi, D K and K pi scattering from lattice calculations of scalar form factors in semileptonic decays
• $D_{s0}(2317)$ as a tetraquark state with QCD sum rules in heavy quark limit
• Dalitz plot analyses of $B^0\to D^{-}{D}^0{K}^{+}$ and $B^{+}\to {\overline{D}}^0{D}^0{K}^{+}$ decays
• Structure of the $D_{s0}(2317)$ and the strong coupling constant $g_{D_{s0}DK}$ with the light-cone QCD sum rules
• Bound states on the lattice with partially twisted boundary conditions
• $D_{s0}^{\ast \pm }(2317)$ and $KD$ scattering from $B_s^0$ decay

Cited by in corpus (26)

• Hadronic molecules
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• Exotic Hadrons from Heavy Ion Collisions
• Two-pole structure of the $D_0^{\ast }(2400)$
• Masses and decay constants of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point
• On the nature of near-threshold bound and virtual states
• Towards a new paradigm for heavy-light meson spectroscopy
• Novel coupled channel framework connecting quark model and lattice QCD: an investigation on near-threshold $D_s$ states
• Contribution of constituent quark model $c\bar{s}$ states to the dynamics of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ resonances
• Compositeness of S-wave weakly-bound states from next-to-leading order Weinberg's relations
• Update on strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and their bottom cousins
• Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules
• Implications of chiral symmetry on $S$-wave pionic resonances and the scalar charmed mesons
• Production of Charmed Tetraquarks from $B_c$ and $B$ decays
• Lowest lying even-parity ${\bar{B}}_s$ mesons: heavy quark spin-flavor symmetry, chiral dynamics, and constituent quark model bare masses
• The investigations of the $P$-wave $B_s$ states combining quark model and lattice QCD in the coupled channel framework
• Isospin-conserving hadronic decay of the $D_{s1}(2460)$ into $D_s{\pi }^{+}{\pi }^{-}$
• Productions of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B_{(s)}$ and ${\Lambda }_b({\Xi }_b)$ decays
• Two-body wave functions and compositeness from scattering amplitudes: II. Application to the physical $N^{\ast }$ and ${\Delta }^{\ast }$ resonances
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• Charge-conjugation asymmetry and molecular content: the $D_{s0}^{\ast }(2317{)}^{\pm }$ in matter
• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
• Role of $\Xi (1690)$ in the $J/\psi \to {\Xi }^0\bar{\Lambda }{K}^0$ reaction
• The $B^{+(0)}\to {\bar{D}}^{0(-)}{D}_{s0}^{\ast }(2317{)}^{+}$ decays and the molecular structure of $D_{s0}^{\ast }(2317)$
• Analysis of the hadronic molecules $DK$, $D^{\ast }K$, $D{K}^{\ast }$ and their bottom analogs with QCD sum rules