Charm spectroscopy on dynamical 2+1 flavor domain wall fermion lattices with a relativistic heavy quark action

TL;DR

This paper reports a preliminary lattice QCD calculation of the charmonium spectrum using dynamical 2+1 flavor domain wall fermions and a relativistic heavy quark action, aiming to improve understanding of charm quark states.

Contribution

It introduces a novel approach combining dynamical 2+1 flavor domain wall fermions with a relativistic heavy quark action for charmonium spectrum calculation.

Findings

Preliminary charmonium spectrum results obtained.

Chiral extrapolation performed on four light sea quark masses.

Method to predict meson masses or determine lattice spacing demonstrated.

Abstract

We present a preliminary calculation of the charmonium spectrum using the dynamical 2+1 flavor $24^3\times 64$ domain wall fermion lattice configurations generated by the RBC and UKQCD collaborations. We use the relativistic heavy quark action with 3 parameters non-perturbatively determined by matching to experimental quantities. Chiral extrapolation is done on four light sea quark masses from 0.005 to 0.03, with $m_s=0.04$ and $m_{res}=0.003$. We can either predict meson masses assuming the lattice spacing is known from other methods, or calculate the lattice spacing using those quantities.