Finite size mass shift formula for stable particles revisited

Abstract

Luescher's finite size mass shift formula in a periodic finite volume, involving forward scattering amplitudes in the infinite volume, is revisited for the two stable distinguishable particle system. The generalized mass shift formulae for the boson and fermion are derived in the boson-boson and fermion-boson systems, respectively. The nucleon mass shift is discussed in the nucleon-pion system.

Comments: Talk presented at Lattice2004(spectrum), Fermilab, June 21-26, 2004, 3 pages, 1 eps figure