TWO PARTICLE APPROXIMATIONS OF THE MANY BODY PROBLEM. II
A formulation of the theory of nuclear reactions is presented which exiubits very explicitly the connection between the shell model and the compound nucleus model. A BreitWigner formula is derived in which the hard sphere scattering is replaced by the shell model scattering. Although the compound states are in general complicated many-body excitations, the two-particle approximation of Brueckner et. al., can be shown to be sufficient for the calculation of the average properties contained in the optical model. It is proved that the S-matrix, analogous to the ground state energy, could be calculated in a " model approach" in which the correlations of the target nucleons are taken into account, but the final result is expressed in terms of the momentum distribution of uncorrelated nucleons as in the original Goldberger method. The real and imaginary parts of the optical potential are calculated and the energy dependence of the so-called rearrangement energy is estimated, resulting in a slight increase of the effective mass. (auth)
- Research Organization:
- Max-Planck-Institut fur Physik und Astrophysik, Munich
- NSA Number:
- NSA-14-002901
- OSTI ID:
- 4227650
- Journal Information:
- Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 13
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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