Scalar Quarkonium Masses and Mixing with the Lightest Scalar Glueball

Abstract

We evaluate the continuum limit of the valence (quenched) approximation to the mass of the lightest scalar quarkonium state for a range of different quark masses and to the mixing energy between these states and the lightest scalar glueball. Our results support the interpretation of $f_0(1710)$ as composed mainly of the lightest scalar glueball.

Comments: 61 pages, including 43 figures; to appear in PRD