Three Different Approaches to the Same Interaction: The Yukawa Model in Nuclear Physics

2012/11/23 by J. Carbonell, F. de Soto, V. A. Karmanov
Earth and Planetary Sciences · Physics and Astronomy · #Cold Fusion and Nuclear Reactions #Lattice (music) #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #Quantum dynamics #Quantum field theory #Relativistic quantum mechanics #Schrödinger equation #Schrödinger's cat #Yukawa potential #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1007/s00601-012-0502-3

17 pages, 9 figures. Dedicated to Professor Henryk Witala at the occasion of his 60th birthday. Submitted in Few-Body Systems

arxiv created 2012/11/23 · openalex publication_date 2012/11/29 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Two-fermion bound states within the Bethe-Salpeter approach
• Entanglement of Fock-space expansion and covariance in light-front Hamiltonian dynamics
• Solving the Bethe–Salpeter Equation in Euclidean Space
• First order relativistic three-body scattering
• Solving the Bethe-Salpeter equation for two fermions in Minkowski space
• A Relativistic Equation for Bound-State Problems
• High-precision covariant one-boson-exchange potentials for np scattering below 350 MeV