2007•Modern Physics Letters ARequires access

THE BETHE–SALPETER EQUATION APPROACH TO BOUND STATE: SCALAR–FERMION CASE AND SCALAR–SCALAR CASE

Jiao-Kai Chen, Zhengxin Tang, Qingdong Chen

Abstract

The general form of the Bethe–Salpeter wave functions for bound states comprising one scalar constituent and one fermion, or two scalars is presented. Using the reduced Salpeter equation obtained, we can work out the effective nonrelativistic potentials. And one new version of reduced Bethe–Salpeter equation is proposed by extending Gross approximation.

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Key concepts: Physics, Bethe–Salpeter equation, Scalar (mathematics), Bound state, Fermion, Scalar boson, Mathematical physics, Quantum mechanics