Simple Hadronic Matrix Elements with Wilson Valence Quarks and Dynamical Staggered Fermions at ${\bf 6/g^2=5.6}$

TL;DR

This paper measures simple matrix elements for mesons using Wilson valence quarks and staggered sea quarks at a specific lattice coupling, comparing results to quenched simulations and analyzing sea quark effects.

Contribution

It provides new measurements of decay constants, wave functions, and quark masses with dynamical staggered sea quarks at a fixed lattice coupling, highlighting small sea quark effects.

Findings

Sea quark effects are small in the measurements.

Decay constants and quark masses are obtained at specific sea quark masses.

Comparison shows consistency with quenched simulations at similar lattice spacing.

Abstract

We have measured some simple matrix elements for pseudoscalar and vector mesons made of Wilson valence quarks and staggered sea quarks at $\beta=5.6$ at sea quark masses $am_q=0.01$ and 0.025. Our measurements include the decay constants of pseudoscalars (including $f_D$), the wave function at the origin (or decay constant) of vector mesons, and the calculation of quark masses from current algebra. The effects of sea quarks on the simulations are small. We make comparisons to quenched simulations at similar values of the lattice spacing ($1/a \simeq 2$ GeV).