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Ground states of the Wick-Cutkosky (scalar Yukawa) model using light-front dynamics

2000/02/29 by Jason R. Cooke, Gerald A. Miller · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.62.054008

published as Phys.Rev. C62 (2000) 054008 · 36 pages and 6 figures; corrected typos, added references

arxiv created 2000/03/17 · openalex publication_date 2000/10/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the ground state in a model with scalar nucleons and a meson using the formalism of light-front dynamics. Light-front potentials for two-nucleon bound states are calculated using two approaches. First, light-front time-ordered perturbation theory is used to calculate one- and two-meson-exchange potentials. These potentials give results that agree well with the ladder and ladder plus crossed box Bethe-Salpeter spectra. Secondly, approximations that incorporate nonperturbative physics are used to calculate alternative one-meson-exchange potentials. These nonperturbative potentials give better agreement with the spectra of the full nonperturbative ground-state calculation of our restricted model than the perturbative potentials. For lightly bound states, all of the approaches appear to agree with each other.

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