Regular Article - Theoretical Physics
The nuclear Yukawa model on a lattice
Departamento Sistemas Fısicos, Quımicos y Naturales, U. Pablo de Olavide, 41013, Sevilla, Spain
2 Laboratoire de Physique Subatomique et Cosmologie, 53 avenue des Martyrs, 38026, Grenoble, France
Revised: 25 February 2011
Published online: 26 April 2011
We present the results of the quantum field theory approach to the 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.
© SIF, Springer-Verlag Berlin Heidelberg, 2011