Finite size mass shift formula for stable particles revisited
Yoshiaki Koma, Miho Koma
TL;DR
This paper revisits and generalizes Luescher's finite size mass shift formula for stable particles, deriving new formulas for boson-boson and fermion-boson systems and discussing nucleon mass shifts.
Contribution
The paper derives generalized mass shift formulas for boson-boson and fermion-boson systems, extending Luescher's original work to new particle interactions.
Findings
Derived new mass shift formulas for boson-boson and fermion-boson systems.
Discussed nucleon mass shift in the nucleon-pion system.
Revisited and extended the applicability of Luescher's formula.
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.
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