The Nuclear Yukawa Model on a Lattice

Abstract

We present the results of the quantum field theory approach to nuclear Yukawa model obtained by standard lattice techniques. We have considered the simplest case of two identical fermions interacting via a scalar meson exchange. Calculations have been performed using Wilson fermions in the quenched approximation. We found the existence of a critical coupling constant above which the model cannot be numerically solved. The range of the accessible coupling constants is below the threshold value for producing two-body bound states. Two-body scattering lengths have been obtained and compared to the non relativistic results.

15 pages

References in corpus (5)

• Nuclear Force from Lattice QCD
• Helium Nuclei in Quenched Lattice QCD
• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• The phase structure of a chirally invariant lattice Higgs-Yukawa model - numerical simulations

Cited by in corpus (5)

• Ab initio nonperturbative calculation of physical observables in light-front dynamics. Application to the Yukawa model
• Solving Bethe-Salpeter scattering state equation in Minkowski space
• Bethe-Salpeter scattering amplitude in Minkowski space
• Three different approaches to the same interaction: the Yukawa model in nuclear physics
• About the Yukawa model on a lattice in the quenched approximation