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arXiv · 1401.1487

Charmonium, $D_s$ and $D_s^*$ from overlap fermion on DWF configurations

Y. B. Yang·Y. Chen·A. Alexandru·S. J. Dong·T. Draper·M. Gong·F. X. Lee·A. Li·K. F. Liu·Z. Liu·M. Lujan·N. Mathur
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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 $D_s$, $D_s^*$ and $J/ψ$ as inputs and obtain $m_c^{\overline{\rm MS}}(2\,{\rm GeV})=1.110(24)\,{\rm GeV}$, $m_s^{\overline{\rm MS}}(2\,{\rm GeV})=0.104(9)\,{\rm GeV}$ and $r_0=0.458(11)\,{\rm fm}$. Subsequently, the hyperfine-splitting of charmonium and $f_{D_s}$ are predicted to be $112(5)\,{\rm MeV}$ and $254(5)\,{\rm MeV}$, respectively.

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Y. B. Yang, Y. Chen, A. Alexandru, S. J. Dong, T. Draper, M. Gong, F. X. Lee, A. Li, K. F. Liu, Z. Liu, M. Lujan, N. Mathur. 2014-01-07. Charmonium, $D_s$ and $D_s^*$ from overlap fermion on DWF configurations. https://arxiv.org/abs/1401.1487

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