The Quantum N-Body Problem and the Auxiliary Field Method

Abstract

Approximate analytical energy formulas for N-body semirelativistic Hamiltonians with one-and two-body interactions are obtained within the framework of the auxiliary field method. This method has already been proven to be a powerful technique in the case of two-body problems. A general procedure is given and applied to various Hamiltonians of interest, in atomic and hadronic physics in particular. A test of formulas is performed for baryons described as a three-quark system.