On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics

Abstract

We perform an analysis of QCD lattice data on charmed meson masses. The quark-mass dependence of the data set is used to gain information on the size of counter terms of the chiral Lagrangian formulated with open-charm states with J^P= 0^- and J^P =1^- quantum numbers. Of particular interest are those counter terms that are active in the exotic flavour sextet channel. A chiral expansion scheme where physical masses enter the extrapolation formulae is developed and applied to the lattice data set. Good convergence properties are demonstrated and an accurate reproduction of the lattice data based on ensembles of PACS-CS, MILC, ETMC and HSC with pion and kaon masses smaller than 600 MeV is achieved. It is argued that a unique set of low-energy parameters is obtainable only if additional information from HSC on some scattering observables is included in our global fits. The elastic and inelastic s-wave pi D and eta D scattering as considered by HSC is reproduced faithfully. Based on such low-energy parameters we predict 15 phase shifts and in-elasticities at physical quark masses but also for an additional HSC ensemble at smaller pion mass. In addition we find a clear signal for a member of the exotic flavour sextet states in the eta D channel, below the bar K D_s threshold. For the isospin violating strong decay width of the D_{s0}(2317) we obtain the range (104-116) keV.

74 pages, 13 figures, 22 tables, published manuscript

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• PANDA Phase One
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• Contribution of constituent quark model $c\bar{s}$ states to the dynamics of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ resonances
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• Femtoscopic signatures of the lightest S-wave scalar open-charm mesons
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• Where is the lightest charmed scalar meson?
• Update on strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and their bottom cousins
• Studying the interaction between charm and light-flavor mesons
• New spectrum of negative-parity doubly charmed baryons: Possibility of two quasistable states
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• Strong decays of the explicitly exotic doubly charmed $DDK$ bound state
• Implications of chiral symmetry on $S$-wave pionic resonances and the scalar charmed mesons
• Charm and Bottom Hadrons in Hot Hadronic Matter
• $DK/D\pi$ scattering and an exotic virtual bound state at the $SU(3)$ flavour symmetric point from lattice QCD
• On chiral excitations with exotic quantum numbers
• On light vector mesons and chiral SU(3) extrapolations
• Coupled-channel dynamics with chiral long-range forces in the open-charm sector of QCD
• Chiral Lagrangians for mesons with a single heavy quark
• On the chiral expansion of vector meson masses
• Isospin-conserving hadronic decay of the $D_{s1}(2460)$ into $D_s{\pi }^{+}{\pi }^{-}$
• Axial-vector $D_1$ hadrons in $D^{\ast }\pi$ scattering from QCD
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• Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles
• A coupled-channel system with anomalous thresholds and unitarity
• Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
• On pion and kaon decay constants and chiral SU(3) extrapolations
• A framework for the chiral extrapolation of the charmed baryon ground-state masses
• Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3
• Low-energy constants from charmed baryons on QCD lattices
• Chiral excitations of open-beauty systems
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity
• On chiral extrapolations of coupled-channel reaction dynamics for charmed mesons
• Mass spectra of heavy mesons with instanton effects
• Exotics in the $\pi D$ system