Two-pole structure of the $D_0^{\ast }(2400)$

Abstract

The so far only known charmed non-strange scalar meson is dubbed as $D_0^{\ast }(2400)$ in the Review of Particle Physics. We show, within the framework of unitarized chiral perturbation theory, that there are in fact two $(I=1/2,J^P=0^{+})$ poles in the region of the $D_0^{\ast }(2400)$ in the coupled-channel $D\pi$, $D\eta$ and $D_s\bar{K}$ scattering amplitudes. With all the parameters previously fixed, we predict the energy levels for the coupled-channel system in a finite volume, and find that they agree remarkably well with recent lattice QCD calculations. This successful description of the lattice data is regarded as a strong evidence for the two-pole structure of the $D_0^{\ast }(2400)$. With the physical quark masses, the poles are located at $\left(2105_{-8}^{+6}-i102_{-12}^{+10}\right)$~MeV and $\left(2451_{-26}^{+36}-i134_{-8}^{+7}\right)$~MeV, with the largest couplings to the $D\pi$ and $D_s\bar{K}$ channels, respectively. Since the higher pole is close to the $D_s\bar{K}$ threshold, we expect it to show up as a threshold enhancement in the $D_s\bar{K}$ invariant mass distribution. This could be checked by high-statistic data in future experiments. We also show that the lower pole belongs to the same SU(3) multiplet as the $D_{s0}^{\ast }(2317)$ state. Predictions for partners in the bottom sector are also given.

6 pages, 5 figures

References in corpus (23)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• 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
• Dynamically generated 1^+ heavy mesons
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Subleading contributions to the width of the D_{s0}*(2317)
• Search for structure in the $B_s^0{\pi }^{\pm }$ invariant mass spectrum
• Clues for the existence of two $K_1(1270)$ resonances
• Light meson mass dependence of the positive parity heavy-strange mesons
• A Canonical Ds(2317)?
• How the X(5568) challenges our understanding of QCD
• 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
• Low-lying even parity meson resonances and spin-flavor symmetry
• Can $X(5568)$ be described as a $B_s\pi$, $B\bar{K}$ resonant state?
• $D_{s0}^{\ast }(2317)$ and $DK$ scattering in $B$ decays from BaBar and LHCb data
• $P$-wave coupled-channel scattering of $B_s\pi ,B_s^{\ast }\pi ,B\overline{K},B^{\ast }\overline{K}$ and the puzzling $X(5568)$
• Structure of the $D_{s0}(2317)$ and the strong coupling constant $g_{D_{s0}DK}$ with the light-cone QCD sum rules
• |Vub| from exclusive semileptonic B to pi decays revisited
• Measurement of $B\to D_s^{(\ast )}K\pi$ branching fractions
• |Vub| from Exclusive Semileptonic B to pi Decays
• The role of $D^{\star \star }$ in $B^{-}\to D_s^{+}{K}^{-}{\pi }^{-}$

Cited by in corpus (73)

• Hadronic molecules
• A review of the open charm and open bottom systems
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Threshold cusps and triangle singularities in hadronic reactions
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Towards a theory of hadron resonances
• Two-pole structures in QCD: Facts, not fantasy!
• On the nature of near-threshold bound and virtual states
• Towards a new paradigm for heavy-light meson spectroscopy
• Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons
• $P_{cs}(4459)$ and other possible molecular states from ${\Xi }_c^{(\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{\prime }{\bar{D}}^{(\ast )}$ interactions
• Hadrons and Nuclei
• On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Coupled-channel approach in hadron-hadron scattering
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• $DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^{\ast }(2317)$ from lattice QCD
• $DK$, $DDK$, 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
• $DDK$ system in finite volume
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Novel approaches in Hadron Spectroscopy
• Isospin-1/2 $D\pi$ scattering and the lightest $D_0^{\ast }$ resonance from lattice QCD
• Interactions between vector mesons and dynamically generated resonances
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Compositeness of S-wave weakly-bound states from next-to-leading order Weinberg's relations
• Femtoscopic signatures of the lightest S-wave scalar open-charm mesons
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Mass spectra and strong decays of charmed and charmed-strange mesons
• Semileptonic $B$ and $B_s$ decays involving scalar and axial-vector mesons
• Impact of a thermal medium on $D$ mesons and their chiral partners
• Where is the lightest charmed scalar meson?
• New spectrum of negative-parity doubly charmed baryons: Possibility of two quasistable states
• Studying the interaction between charm and light-flavor mesons
• Update on strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and their bottom cousins
• Strong decays of the explicitly exotic doubly charmed $DDK$ bound state
• Pseudoscalar and vector open-charm mesons at finite temperature
• Quasi-two-body decays $B_{(s)}\to P{D}_0^{\ast }(2400)\to PD\pi$ in the perturbative QCD approach
• Implications of chiral symmetry on $S$-wave pionic resonances and the scalar charmed mesons
• New insights into the nature of the $\Lambda (1380)$ and $\Lambda (1405)$ resonances away from the SU(3) limit
• Charm and Bottom Hadrons in Hot Hadronic Matter
• The roles of the $T_{c\bar{s}0}(2900{)}^0$ and $D_0^{\ast }(2300)$ in the process $B^{-}\to D_s^{+}{K}^{-}{\pi }^{-}$
• Two-pole structures in a relativistic Friedrichs-Lee-QPC scheme
• Resonant state $D_0^{\ast }(2400)$ in the quasi-two-body $B$ meson decays
• Production of the $Z_b^{(\prime )}$ states from the ${\rm Y}(5S,6S)$ decays
• On chiral excitations with exotic quantum numbers
• Global coupled-channel analysis of $e^{+}{e}^{-}\to c\bar{c}$ processes in $\sqrt{s}=3.75-4.7$ GeV
• Investigating tetraquarks composed of $us\bar{d}\bar{b}$ and $ud\bar{s}\bar{b}$
• $P_{cc}^N$ states in a unitarized coupled-channel approach
• Axial-vector $D_1$ hadrons in $D^{\ast }\pi$ scattering from QCD
• 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
• A coupled-channel system with anomalous thresholds and unitarity
• Femtoscopy correlation functions and hadron-hadron scattering amplitudes in presence of Coulomb potential
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• Degeneracy patterns of chiral companions at finite temperature
• Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
• Charge-conjugation asymmetry and molecular content: the $D_{s0}^{\ast }(2317{)}^{\pm }$ in matter
• Unitarization Technics in Hadron Physics with Historical Remarks
• Are compact open-charm tetraquarks consistent with recent lattice results?
• Quark mass dependence of the low-lying charmed mesons at one loop in HH$\chi$PT
• A coupled-channel perspective analysis on bottom-strange molecular pentaquarks
• Towards a theory of baryon resonances
• Hadronic molecules and multiquark states
• The pseudoscalar meson and baryon octet interaction with strangeness $S=-2$ in the unitary coupled-channel approximation
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• Another walk through the world of chiral dynamics
• On the simulated kinematic distributions of heavy meson decays
• Evidence for the existence of a flavor-sextet charmed meson?
• Exotics in the $\pi D$ system
• The lightest $D_0^{\ast }$ resonance from lattice QCD
• Thermal modification of open heavy-flavor mesons from an effective hadronic theory
• Exotic hadrons associated with $b$-quark