Other
Scientific paper
Jun 1971
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971phrvc...3.2156l&link_type=abstract
Physical Review C, vol. 3, Issue 6, pp. 2156-2167
Other
1
Scientific paper
Many investigators have studied the scattering of low-energy nucleons by light nuclei using a single-particle effective potential which is derived from a many-nucleon Hamiltonian under the assumption that the contribution to the scattering by virtual excitations of the target nucleus can be neglected. In addition, they have approximated the ground-state wave functions of the target nuclei by crude variational wave functions, thus introducing an unknown error into the results of the scattering calculation. In this paper we investigate that error for the specific case of neutron-triton scattering. To do this we derive three approximate effective potentials which differ from each other and from the exact single-particle effective potential by the same order in the error of the approximate triton wave function. The difference between the phase shifts calculated with the approximate potentials gives an indication of the uncertainty in the calculations, and as the approximate triton wave function is improved the difference decreases. Our work shows that previous calculations involve large errors which may be reduced by improving the approximate target wave function.
Lavan M. J.
Payne G. L.
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