Charmonium, $D_s$ and $D_s^{\ast }$ from overlap fermion on DWF configurations

Abstract

We take a new approach to determine the scale parameter $r_0$, the physical masses of strange and charm quarks through a global fit which incorporates continuum extrapolation, chiral extrapolation and quark mass interpolation to the lattice data. The charmonium and charm-strange meson spectrum are calculated with overlap valence quarks on $2+1$-flavor domain-wall fermion gauge configurations generated by the RBC and UKQCD Collaboration. We use the masses of $D_s$, $D_s^{\ast }$ and $J/\ddot{I}ˆ$ as inputs and obtain $m_c^{\overline{\mathrm{MS}}}(2\mathrm{GeV})=1.110(24)\mathrm{GeV}$, $m_s^{\overline{\mathrm{MS}}}(2\mathrm{GeV})=0.104(9)\mathrm{GeV}$ and $r_0=0.458(11)\mathrm{fm}$. Subsequently, the hyperfine-splitting of charmonium and $f_{D_s}$ are predicted to be $112(5)\mathrm{MeV}$ and $254(5)\mathrm{MeV}$, respectively.

7 pages, 6 figures, POS for lattice 2013