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Low energy scattering parameters from the solutions of the non-relativistic Yukawa model on a 3-dimensional lattice
The numerical solutions of the non-relativistic Yukawa model on a
3-dimensional size lattice with periodic boundary conditions are obtained. The
possibility to extract the corresponding -- infinite space -- low energy
parameters and bound state binding energies from eigensates computed at finite
lattice size is discussed
Three different approaches to the same interaction: the Yukawa model in nuclear physics
After a brief discussion of the meaning of the potential in quantum
mechanics, we examine the results of the Yukawa model (scalar meson exchange)
for the nucleon-nucleon interaction in three different dynamical frameworks:
the non-relativistic dynamics of the Schrodinger equation, the relativistic
quantum mechanics of the Bethe-Salpeter and Light-Front equations and the
lattice solution of the Quantum Field Theory, obtained in the quenched
approximation.Comment: 17 pages, 9 figures. Dedicated to Professor Henryk Witala at the
occasion of his 60th birthday. Submitted in Few-Body System
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