Study on $0^{+}$ states with open charm in unitarized heavy meson chiral approach

Abstract

We calculate the scattering amplitudes of Goldstone bosons off the pseudoscalar D-mesons in unitarized heavy meson chiral approach. The low energy constants appearing in $\mathcal{O}(p^2)$ chiral Lagrangian are determined by fitting lattice simulations on $S$-wave scattering lengths. $D_{s0}^{\ast }(2317)$ is obtained as a bound state in $(S,I)=(1,0)$ $DK$ channel. Possible bound states or resonance states in other channels are investigated as well. The quark mass dependence of the mass and binding energy of $D_{s0}^{\ast }(2317)$ is also investigated, which indicates predominately $DK$ molecular nature.

10 pages, 2 figures

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Cited by in corpus (24)

• A review of the open charm and open bottom systems
• Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons
• New insights into the $D_{s0}^{\ast }(2317)$ and other charm scalar mesons
• $D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states
• Novel coupled channel framework connecting quark model and lattice QCD: an investigation on near-threshold $D_s$ states
• $DK$, $DDK$, and $DDDK$ molecules--understanding the nature of the $D_{s0}^{\ast }(2317)$
• $DDK$ system in finite volume
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• How much is the compositeness of a bound state constrained by $a$ and $r_0$? The role of the interaction range
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• Strong decays of the explicitly exotic doubly charmed $DDK$ bound state
• Off-shell effects on the interaction of Nambu-Goldstone bosons and $D$ mesons
• Light pseudoscalar meson and heavy meson scattering lengths to $\mathcal{O}(p^4)$ in heavy meson chiral perturbation theory
• Colloquium: Hadron Production in Open-charm Meson Pair at $e^{+}{e}^{-}$ Collider
• Heavy-to-light scalar form factors from Muskhelishvili-Omnès dispersion relations
• One-loop analysis of the interactions between charmed mesons and Goldstone bosons
• Measurements of Born Cross Sections of $e^{+}{e}^{-}\to D_s^{\ast +}{D}_{sJ}^{-}+c.c.$
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• Reanalysis of lattice QCD spectra leading to the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$
• Analysis of the hadronic molecules $DK$, $D^{\ast }K$, $D{K}^{\ast }$ and their bottom analogs with QCD sum rules
• A walk through the world of chiral dynamics
• Unified Hamiltonian model for mesons and baryons