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 $f_0\mathrm{}\left(1710\right)\mathrm{}$ as composed mainly of the lightest scalar glueball.

• Received 18 August 1999

DOI:https://doi.org/10.1103/PhysRevD.61.014015