Nonperturbative Determination of Heavy Meson Bound States

Abstract

In this paper we obtain a heavy meson bound state equation from the heavy quark equation of motion in heavy quark effective theory (HQET) and the heavy meson effective field theory we developed very recently. The bound state equation is a covariant extention of the light-front bound state equation for heavy mesons derived from light-front QCD and HQET. We determine the covariant heavy meson wave function variationally by minimizing the binding energy $\barΛ$. Subsequently the other basic HQET parameters $λ_1$ and $λ_2$, and the heavy quark masses $m_b$ and $m_c$ can also be consistently determined.