Quenched Charmed Meson Spectra using Tadpole Improved Quark Action on Anisotropic Lattices

TL;DR

This study investigates charmed meson spectra using improved quark actions on anisotropic lattices, achieving results that qualitatively agree with experimental data after continuum extrapolation.

Contribution

It introduces a mass-dependent tuning of the bare speed of light parameter to accurately compute charmed meson spectra on anisotropic lattices.

Findings

Qualitative agreement with experimental meson spectra

Effective tuning of the bare speed of light parameter

Successful continuum extrapolation of lattice results

Abstract

Charmed meson charmonium spectra are studied with improved quark actions on anisotropic lattices. We measured the pseudo-scalar and vector meson dispersion relations for 4 lowest lattice momentum modes with quark mass values ranging from the strange quark to charm quark with 3 different values of gauge coupling $\beta$ and 4 different values of bare speed of light $\nu$. With the bare speed of light parameter $\nu$ tuned in a mass-dependent way, we study the mass spectra of $D$, $D_s$, $\eta_c$, $D^{\ast}$, $D_s^{\ast}$ and $J/\psi$ mesons. The results extrapolated to the continuum limit are compared with the experiment and qualitative agreement is found.