Two-body forces and nuclear saturation. 1. Central forces
The problem of nuclear saturation for the rapidly varying and nonmonotonic potentials of pseudoscalar meson theory has been investigated. In these potentials variational methods using independent particle trial functions are grossly inadequate. Although the problem can be approached using more general variational functions with interparticle correlation the evaluation of the resulting expressions is very difficult since indirect correlations involving many more than two particles become important at high densities. An alternative procedure has been developed which allows a rather straightforward evaluation of the many body energy even when the potentials are of great complexity. This method depends on a treatment of the coherent particle motion which is exact in the limit of very many scatterers and treats the incoherent motion as a perturbation. In this case the many body potential energy can he simply expressed in terms of the low energy scattering amplitudes. This method has been applied to the two body potentials given by pseudoscalar meson theory when the effects of nucleon pair formation are assumed to be small. In this approximation the many body forces of the theory are negligible. These potentials give an excellent fit to the low energy scattering parameters of the two nucleon system and also an approximately correct description of scattering up to 90 MeV. They are characterized by repulsive cores of radii O.3-O.4h-bar/approximation and quite weak interactions in odd states.
- Research Organization:
- Indiana Univ., Bloomington, IN (United States)
- OSTI ID:
- 147385
- Report Number(s):
- AD-A-296519/2/XAB; TRN: 53240564
- Resource Relation:
- Other Information: PBD: 1 Jul 1954
- Country of Publication:
- United States
- Language:
- English
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