From spectroscopy to the strong coupling constant with heavy Wilson quarks

In this work we present lattice calculations of the masses of P-wave mesons using Monte Carlo simulations. Our valence fermions are defined by the Wilson action. Our gauge fields are generated with both dynamical staggered fermions at a lattice coupling β≡6/${\mathit{g}}^2$=5.6 for sea quark masses of ${\mathit{am}}_{\mathit{q}}$=0.010 and 0.025 and in the quenched approximation at β=6.0. We present results for charm and charmonium spectroscopy and use them to compute the strong coupling constant ${\mathrm{\alpha }}_{\mathit{s}}$. We compare our results to those of other recent lattice calculations and experiments.