Abstract

A variational method is described which is suitable for fairly detailed calculations with repulsive core potentials. The method employs a wave function which goes over to an exact solution of the two-body Schrödinger equation whenever two nucleons are closer together than a certain distance b. The ideas of effective range theory suggest that the results should not be sensitive to the energy parameter which characterizes the exact solution, a suggestion which is seen to be valid to great accuracy in a numerical calculation with a simple but characteristic potential. The new method is compared with straightforward variational approaches to the same problem, as well as with variational procedures based on a cutoff potential, and is found superior to them both. A practical application of the new method in calculating the Li 6 structure is also cited.

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