Delta-function model for the two-nucleon interaction
197218 pages
Published in:
- Phys.Rev.C 6 (1972) 1467-1484
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Abstract: (APS)
An interaction of the form VLJST(r)=Σ(viri)δ(r−ri) is used to make a fit to the Livermore X phase shifts (0-460 MeV). Only states with L≤2 are considered; coupling between states is at present neglected but effective central S13 and D13 interactions are given. No more than four terms (per state) are required. In states which have a repulsion the position of the innermost δ function can be chosen arbitrarily within wide limits; e.g., for the S01 state 0.1542≤ri≤0.95 F. Families of hard-core interactions in which rc and r1 are arbitrary are also determined. We find 0.1542≤rc≤0.7 F for the S01 state. All S01 interactions give essentially the same D-state phase shifts within the same energy range (these differ from D21 experimental phase shifts). The main virtues of this type of potential are the ease with which the parameters may be determined and its relative simplicity in calculations for A≥3 and nuclear matter. It may also be written in the separable form 〈rLJST|V|r′LJST〉=Σ(viri)δ(r−ri)δ(r′−ri).- many-body problem
- nucleon nucleon: interaction
- interaction: nucleon nucleon
- partial wave
- strong interaction
- exchange: one-pion
- one-pion: exchange
- model: separable potential
- s-matrix
- nuclear force
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