Light Pseudoscalar Meson and Heavy Meson Scattering Lengths

Abstract

We have performed a systematical calculation of the pion ($\pi ,K,\eta$) and heavy pseudoscalar meson S-wave scattering lengths up to $\mathcal{O}(p^3)$ in the chiral perturbation theory in the heavy quark symmetry limit. With the three scattering lengths from the lattice simulations as input we estimate the unknown low-energy constants. Then we predict all the other unmeasured scattering lengths. The analytical expressions and predictions may be helpful to future investigations. Especially we note that the DK scattering length is positive. Therefore their interaction is attractive, which helps to lower the mass of the "bare" charm-strange scalar state in the quark model through the couple-channel effect.

7 pages, 1 figure, 3 tables, accepted by Phys. Rev. D

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• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)
• An overview of $XYZ$ new particles
• D Pi scattering and D meson resonances from lattice QCD
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Charmed-strange mesons revisited: mass spectra and strong decays
• Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons
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• $D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states
• $DK$, $DDK$, and $DDDK$ molecules--understanding the nature of the $D_{s0}^{\ast }(2317)$
• $X(5568)$ and and its partner states
• $DDK$ system in finite volume
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• How to understand the $X(2900)$?
• QCD sum rule calculation for the charmonium-like structures in the J/psi phi and J/psi omega invariant mass spectra
• Triply heavy tetraquark states with the $QQ\bar{Q}\bar{q}$ configuration
• Transport properties of bottomed mesons in a hot mesonic gas
• Study on $0^{+}$ states with open charm in unitarized heavy meson chiral approach
• Masses of open charm and bottom tetraquark states in a relativized quark model
• New spectrum of negative-parity doubly charmed baryons: Possibility of two quasistable states
• $B_s{\pi }^{+}$ scattering and search for X(5568) with lattice QCD
• Drag and diffusion coefficients of $B$ mesons in hot hadronic matter
• Is the newly reported $X(5568)$ a $B\bar{K}$ molecular state?
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• Strong decays of the explicitly exotic doubly charmed $DDK$ bound state
• Light pseudoscalar meson and doubly charmed baryon scattering lengths with heavy diquark-antiquark symmetry
• Generating a resonance-like structure in the reaction $B_c\to B_s\pi \pi$
• Charm and Bottom Hadrons in Hot Hadronic Matter
• Probing the $XYZ$ states through radiative decays
• Light pseudoscalar meson and heavy meson scattering lengths to $\mathcal{O}(p^4)$ in heavy meson chiral perturbation theory
• Possibility of $T_{c\bar{s}}(2900)$ as the resonance-like structure induced by threshold effects
• The Pseudoscalar Meson and Heavy Vector Meson Scattering Lengths
• Predictions of the hidden-charm molecular states with four-quark component
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• Coupled-channel dynamics with chiral long-range forces in the open-charm sector of QCD
• One-loop analysis of the interactions between charmed mesons and Goldstone bosons
• Arrangement for $K_2^{\ast }$ meson family
• Radiative decays of the charmed mesons in a modified relativistic quark model
• Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
• Heavy Meson Masses in the ε-Regime of HMχPT
• Newly observed $\kappa$(2600) and the highly excited states of the $K_0^{\ast }$ family
• A walk through the world of chiral dynamics