# 36th Annual International Symposium on Lattice Field Theory

Jul 22 – 28, 2018
Kellogg Hotel and Conference Center
EST timezone

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

Jul 27, 2018, 3:00 PM
20m
105 (Kellogg Hotel and Conference Center)

### 105

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824

### Speaker

Dr Xiao-Yu Guo (GSI Helmholzzentrum)

### Description

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, HPQCD, 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.

### Primary author

Dr Xiao-Yu Guo (GSI Helmholzzentrum)

### Co-authors

Prof. Matthias F. M. Lutz (GSI Helmholzzentrum, Techinische Universität Darmstadt) Dr Yonggoo Heo (Suranaree University of Technology)

 Slides