On the finite size mass shift formula for stable particles
Yoshiaki Koma, Miho Koma (MPI Munich)
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 applications to nucleon-pion interactions.
Contribution
The paper derives generalized mass shift formulas for various particle systems, extending Luescher's original work and connecting it to chiral perturbation theory.
Findings
Derived mass shift formulas for boson-boson and fermion-boson systems.
Presented a nucleon mass shift formula in the nucleon-pion system.
Discussed the relation to chiral perturbation theory calculations.
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 formula is given in the nucleon-pion system and the relation to the computation within chiral perturbation theory is discussed.
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