Ground states of the Wick-Cutkosky model using light-front dynamics

Details Ground states of the Wick-Cutkosky model using light-front dynamics Ground states of the Wick-Cutkosky model using light-front dynamics

2000-02-05

arxiv.org/abs/nucl-th/0002016v2

Phys.Rev. C62 (2000) 054008

Physics

Nuclear Physics

Nuclear Theory

36 pages and 6 figures; corrected typos, added references

Scientific paper

10.1103/PhysRevC.62.054008

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 non-perturbative physics are used to calculate alternative one-meson-exchange potentials. These non-perturbative potentials give better agreement with the spectra of the full non-perturbative ground-state calculation than the perturbative potentials. For lightly-bound states, all of the approaches appear to agree with each other.

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