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

Abstract

Following the successful application of the relativistic heavy quark(RHQ) action to the charmonium and charm-strange meson spectrum, we study here the bottom system to explore the validity of this method in a regime with larger heavy quark momenta. The spectrum is calculated using the same dynamical 2+1 flavor, $24^3\times 64$ domain wall fermion lattice configurations generated by the RBC and UKQCD collaborations and used in the earlier charm study. The 3 parameters in the RHQ action are determined by matching to the experimental bottom-strange meson masses and extrapolated to the chiral limit from three different sea quark masses. We predict the bottomonium mass spectrum and compare it with experiment. A theoretical estimation is also carried out to understand the $O(a^2p^2)$ systematic errors found in the numerical study.

7 Pages, Talk presented at The XXVI International Symposium on Lattice Field Theory, LATTICE 2008 - Williamsburg, Virginia, USA / July 14 - 19, 2008