Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory

Abstract

We calculate the complete $T$ matrices of the elastic light pseudoscalar meson and heavy meson scattering to the third order in heavy meson chiral perturbation theory. We determine the low-energy constants by fitting the phase shifts and scattering lengths from lattice QCD simulations simultaneously and predict the phase shifts at the physical meson masses. The phase shifts in the $D\pi (I=1/2)$, $DK(I=0)$, $D\bar{K}(I=0)$, $D_s\bar{K}$, $D\eta$ and $D_s\eta$ $S$ waves are so strong that bound states or resonances may be generated dynamically in all these channels. The $DK(I=0)$ channel corresponds to the well-known exotic state $D_{s0}^{\ast }(2317)$. The $DK(I=0)$ channel corresponds to the well-known exotic state $D_{s0}^{\ast }(2317)$. The coupled-channel $D\pi$, $D\eta$ and $D_s\bar{K}$ scattering corresponds to $D_0^{\ast }(2400)$. The coupled-channel $D\pi$, $D\eta$ and $D_s\bar{K}$ scattering corresponds to $D_0^{\ast }(2400)$. We also predict the scattering lengths and scattering volumes and observe good convergence in the scattering volumes. Our calculations provide a possibility to accurately investigate the exotic state in the light pseudoscalar meson and heavy meson interactions.

arXiv comment22 pages, 7 figures, 4 tables

References in corpus (79)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Chiral effective field theory and nuclear forces
• Pentaquark and Tetraquark states
• Observation of a Narrow Meson Decaying to Ds+pi0 at a Mass of 2.32 GeV/c^2
• An updated review of the new hadron states
• Observation of a Narrow Resonance of Mass 2.46 GeV/c^2 Decaying to D_s^*+ pi^0 and Confirmation of the D_sJ^* (2317) State
• A review of the open charm and open bottom systems
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Implications of a DK Molecule at 2.32 GeV
• On heavy-light meson resonances and chiral symmetry
• Error Estimates of Theoretical Models: a Guide
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Observed D_s(2317) and tentative D(2100-2300) as the charmed cousins of the light scalar nonet
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Observation of the DsJ(2317) and DsJ(2457) in B decays
• Chiral expansion of baryon masses and $\sigma$-terms
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Measurement of the Weak Axial-Vector Coupling Constant in the Decay of Free Neutrons Using a Pulsed Cold Neutron Beam
• Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)
• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Dynamically generated 1^+ heavy mesons
• Matching Heavy Particle Approach to Relativistic Theory
• An overview of $XYZ$ new particles
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Interactions between heavy mesons and Goldstone bosons from chiral dynamics
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ Scattering from Lattice QCD
• Pion-nucleon scattering in chiral perturbation theory II: Fourth order calculation
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Two-pole structure of the $D_0^{\ast }(2400)$
• Radiative and isospin-violating decays of Ds mesons in the hadrogenesis conjecture
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• The DsJ(2317): what can the Lattice say?
• Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• $T_{cc}^{+}$ and its partners
• Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances
• Kaon-Nucleon Scattering from Chiral Lagrangians
• Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons
• Low-energy interactions of Nambu-Goldstone bosons with $D$ mesons in covariant chiral perturbation theory
• On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics
• Novel coupled channel framework connecting quark model and lattice QCD: an investigation on near-threshold $D_s$ states
• Antinucleon-nucleon interaction in chiral effective field theory
• Light Pseudoscalar Meson and Heavy Meson Scattering Lengths
• $DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^{\ast }(2317)$ from lattice QCD
• Elastic s-wave B pi, D pi, D K and K pi scattering from lattice calculations of scalar form factors in semileptonic decays
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• Meson-baryon scattering lengths in HB$\chi$PT
• Chiral corrections to kaon-nucleon scattering lengths
• Chiral partner structure of doubly heavy baryons with heavy quark spin-flavor symmetry
• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• ${\rm Y}(nl)$ decay into $B^{(\ast )}{\bar{B}}^{(\ast )}$
• Selected strong decays of pentaquark State $P_c(4312)$ in a chiral constituent quark model
• The quasi-fission phenomeonon of double charm $T_{cc}^{+}$ induced by nucleon
• Decoding the double heavy tetraquark state $T_{cc}^{+}$
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• Light pseudoscalar meson and heavy meson scattering lengths to $\mathcal{O}(p^4)$ in heavy meson chiral perturbation theory
• Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory
• Two-Body Strong Decay of the 2P and 3P Charmonium states
• Looking for the exotic $X_0(2866)$ and its $J^P=1^{+}$ partner in the ${\bar{B}}^0\to D^{(\ast )+}{K}^{-}{K}^{(\ast )0}$ reactions
• Production of $Z_{cs}$ in $B$ and $B_s$ decay
• Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory
• Hidden charm pentaquark and $\Lambda (1405)$ in the ${\Lambda }_b^0\to {\eta }_c{K}^{-}p(\pi \Sigma )$ reaction
• Kaon-nucleon scattering to one-loop order in heavy baryon chiral perturbation theory
• Density-dependent NN-interaction from subsubleading chiral 3N-force: Intermediate-range contributions
• Pion-nucleon scattering to order $p^4$ in SU(3) heavy baryon chiral perturbation theory
• Peripheral nucleon-nucleon scattering at next-to-next-to-leading order in SU(3) heavy baryon chiral perturbation theory
• Confirmation of the existence of an exotic state in the $\pi D$ system
• ${\Sigma }_c{\Sigma }_c$ interactions in chiral effective field theory

Cited by in corpus (4)

• Study of the $DK$ interaction with femtoscopic correlation functions
• $DK/D\pi$ scattering and an exotic virtual bound state at the $SU(3)$ flavour symmetric point from lattice QCD
• 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
• Octet baryon and heavy meson interactions in chiral effective field theory