Isospectral Potentials and Quantum Mechanical Functions for Neutron-Neutron Scattering

Abstract

In this paper we have constructed inverse isospectral potentials for 1S0-nn state by fitting the experimental SPS using Variational Monte-Carlo technique in tandem with PFM technique. The isospectral potentials are obtained such that the cost measure i.e., mean absolute error (MAE) between the obtained and experimental SPS are less than 1 and the parameters give the low energy scattering parameters (`a' and `re') very close to the experimental values. The S-channel SPS for 1S0-nn have been obtained, with a MAE with respect to experimental data for lab energies up to 350 MeV, to less than 1.

Comments: 15 pages, 5 figures