Three-Body Problem with Local Hard-Core Potential

Details Three-Body Problem with Local Hard-Core Potential Three-Body Problem with Local Hard-Core Potential

May 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970phrvc...1.1627k&link_type=abstract

Physical Review C, vol. 1, Issue 5, pp. 1627-1632

Physics

12

Scientific paper

The Faddeev formalism is used to compute the ground-state energy of the triton for a simple model in which the nucleon-nucleon force is given by a spin-independent s-wave Herzfeld potential (hard core with outside square well). The effective nucleon-nucleon potential used corresponds to the usual weighted average of triplet and singlet potential strengths. The two-variable Faddeev equation is solved using the complete off-shell t matrix given by: (1) an exact analytic expression, and (2) an integral-equation formalism recently proposed. Three-body calculations based on both evaluations of the two-body t matrix lead to a triton binding energy of 8.13 MeV with about 0.5% accuracy.

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