Charmonium with three flavors of dynamical quarks

TL;DR

This paper calculates the charmonium spectrum using three-flavor dynamical quarks and Fermilab action, providing a precise determination of the strong coupling constant from spectral splittings.

Contribution

It presents the first calculation of the charmonium spectrum with three dynamical flavors using staggered quarks and Fermilab action, and determines the strong coupling constant from these results.

Findings

Determined the strong coupling constant as $eta_{MS}(M_Z) = 0.119(4).

Calculated the spin-averaged 1P--1S and 2S--1S splittings.

Used gauge configurations generated by the MILC collaboration.

Abstract

We present a calculation of the charmonium spectrum with three flavors of dynamical staggered quarks from gauge configurations that were generated by the MILC collaboration. We use the Fermilab action for the valence charm quarks. Our calculation of the spin-averaged 1P--1S and 2S--1S splittings yields a determination of the strong coupling, with $\ams(M_Z) = 0.119 (4)$.