New insights into the $D_{s0}^{\ast }(2317)$ and other charm scalar mesons

Abstract

Through the scattering of light-pseudoscalar mesons ($\pi ,K,\eta ,{\eta }^{\prime }$) off charmed mesons ($D,D_s$), we study the $D_{s0}^{\ast }(2317)$ state and other relevant charm scalar mesons in a unitarized chiral effective field theory approach. We investigate the charm scalar meson poles with different strangeness ($S$) and isospin ($I$) quantum numbers as well as their corresponding residues, which provide the coupling strengths of the charm scalar mesons. Both the light-quark mass and $N_C$ dependences of the pole positions of the $D_{s0}^{\ast }(2317)$ and the poles with $(S,I)=(0,1/2)$ are analyzed in detail in this work. Interestingly we observe quite similar pion mass trajectories for the resonance pole at around 2.1 GeV with $(S,I)=(0,1/2)$ to those of the $f_0(500)$ given in the literature. When increasing the values of $N_C$ we find that a bound state and a virtual state in the $(S,I)=(1,0)$ channel asymmetrically approach the $DK$ threshold for $N_C<6$, and they meet at this threshold at $N_C=6$. When $N_C>6$, the bound and virtual states move into the complex plane on the second Riemann sheet and become a symmetric pair of resonance poles. For large enough values of $N_C$, neither the $D_{s0}^{\ast }(2317)$ pole nor the poles with $(S,I)=(0,1/2)$ tend to fall down to the real axis, indicating that they do not behave like a standard quark-antiquark meson at large $N_C$.

26 pages, published version in PRD

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• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
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Cited by in corpus (50)

• Hadronic molecules
• A review of the open charm and open bottom systems
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ Scattering from Lattice QCD
• Two-pole structure of the $D_0^{\ast }(2400)$
• Probabilistic interpretation of compositeness relation for resonances
• 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
• Towards a theory of hadron resonances
• Molecular components in P-wave charmed-strange mesons
• Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar 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
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• $DK$, $DDK$, and $DDDK$ molecules--understanding the nature of the $D_{s0}^{\ast }(2317)$
• Contribution of constituent quark model $c\bar{s}$ states to the dynamics of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ resonances
• Study of the $DK$ interaction with femtoscopic correlation functions
• $DDK$ system in finite volume
• Prediction of exotic doubly charmed baryons within chiral effective field theory
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Pole analysis on the hadron spectroscopy of ${\Lambda }_b\to J/\Psi p{K}^{-}$
• Radiative and pionic transitions from the $D_{s1}(2460)$ to the $D_{s0}^{\ast }(2317)$
• $Z_c(3900)$ as a $D{\bar{D}}^{\ast }$ molecule from the pole counting rule
• Where is the lightest charmed scalar meson?
• Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state
• New spectrum of negative-parity doubly charmed baryons: Possibility of two quasistable states
• Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• Strong decays of the explicitly exotic doubly charmed $DDK$ bound state
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• Generating a resonance-like structure in the reaction $B_c\to B_s\pi \pi$
• Possibility of $T_{c\bar{s}}(2900)$ as the resonance-like structure induced by threshold effects
• The ${\Lambda }_c(2595)$ resonance as a dynamically generated state: the compositeness condition and the large $N_c$ evolution
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• Two-pole structures in a relativistic Friedrichs-Lee-QPC scheme
• Chiral Lagrangians for mesons with a single heavy quark
• A new method to study the number of colors in the final-state interactions of hadrons
• 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 $D_s{\pi }^{+}{\pi }^{-}$
• Heavy-to-light scalar form factors from Muskhelishvili-Omnès dispersion relations
• Theoretical investigation of the molecular nature of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and the possibility of observing the $D\bar{D}K$ bound state $K_{c\bar{c}}(4180)$ in inclusive $e^{+}{e}^{-}\to c\bar{c}$ collisions
• Production of the $D_{s0}(2317)$ and $D_{s1}(2460)$ by kaon-induced reactions on a proton target
• Productions of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B_{(s)}$ and ${\Lambda }_b({\Xi }_b)$ decays
• 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
• The possible $B\pi$ molecular state and its radiative decay
• Investigating $S$-wave bound states composed of two pseudoscalar mesons
• Towards a theory of baryon resonances
• Analysis of the hadronic molecules $DK$, $D^{\ast }K$, $D{K}^{\ast }$ and their bottom analogs with QCD sum rules
• $N_C$ evolution of the light meson resonances
• Evidence for the existence of a flavor-sextet charmed meson?