The Nuclear Yukawa Model on a Lattice

Details The Nuclear Yukawa Model on a Lattice The Nuclear Yukawa Model on a Lattice

2011-04-11

arxiv.org/abs/1104.1907v1

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages

Scientific paper

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.

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