Triton Binding Energy by a Randomized Net-Point Method

Details Triton Binding Energy by a Randomized Net-Point Method Triton Binding Energy by a Randomized Net-Point Method

May 1952

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1952phrv...86..388r&link_type=abstract

Physical Review, vol. 86, Issue 3, pp. 388-390

Physics

1

Scientific paper

A numerical procedure is investigated for solving Schrödinger's equation for a system of particles. A netpoint analysis is applied directly to the integral equation equivalent to Schrödinger's equation. A unique feature is the introduction of the concept of a "randomized" net of points. This is designed to cope with the problem of obtaining adequate covering of the space when many dimensions are involved. The method is applied to the problem of finding the binding energy of the triton with the assumption of central forces. The result obtained for an exponential potential as determined by the most recent low energy scattering data is approximately 10 percent too deep. It may be concluded that more effective repulsion must be introduced into the "equivalent central potential" to bring about agreement with experiment.

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