Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons

Abstract

We study the scattering of the light-flavor pseudoscalar mesons ($\pi ,K,\eta$) off the ground-state charmed mesons ($D,D_s$) within chiral effective field theory. The recent lattice simulation results on various scattering lengths and the finite-volume spectra both in the moving and center-of-mass frames, most of which are obtained at unphysical meson masses, are used to constrain the free parameters in our theory. Explicit formulas to include the $S$- and $P$-wave mixing to determine the finite-volume energy levels are provided. After a successful reproduction of the lattice data, we perform a chiral extrapolation to predict the quantities with physical meson masses, including phase shifts, inelasticities, resonance pole positions and the corresponding residues from the scattering of the light pseudoscalar and charmed mesons.

32 pages, 9 figures

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• Light Pseudoscalar Meson and Heavy Meson Scattering Lengths
• New results from a number operator interpretation of the compositeness of bound and resonant states
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• Heavy-to-light scalar form factors from Muskhelishvili-Omnès dispersion relations
• Reanalysis of lattice QCD spectra leading to the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$

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• In-medium kinetic theory of $D$ mesons and heavy-flavor transport coefficients
• The investigations of the $P$-wave $B_s$ states combining quark model and lattice QCD in the coupled channel framework
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• Chiral excitations of open-beauty systems
• Analysis of the hadronic molecules $DK$, $D^{\ast }K$, $D{K}^{\ast }$ and their bottom analogs with QCD sum rules
• Thermal modification of open heavy-flavor mesons from an effective hadronic theory
• The lightest $D_0^{\ast }$ resonance from lattice QCD
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