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Some nuclear matter calculations

1969
21 pages
Published in:
  • Nucl.Phys.A 128 (1969) 273-293
  • Published: 1969
DOI:
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Abstract: (Elsevier)
The exact method used by Köhler and McCarthy to calculate the reaction matrix for 16 O is applied to some nuclear matter calculations with the Hamada-Johnson potential. The method can easily be combined with approximate methods for calculating the reaction matrix which are adequate for some states or when less accuracy is required. The geometric series approximation is extremely good for the 1 S 0 state, but is less good for the 3 S 1 state, the error being about 0.05% in the former case and 4% in the latter. For the 3 D 1 state the approximation fails completely as in the 16 O calculations. It is thus desirable to use the exact method to calculate the 3 S 1  3 D 1 states. For the 3 D 1 state the second-order expansion as used in the “reference spectrum method” of Bethe, Brandow and Petschek is also a reasonable approximation.