MANY-BODY BASIS FOR THE OPTICAL MODEL
A formal expression is derived for an optical model potential based on an assumed two-body interaction between nucleons, which provides an exact description of the elastic scattering of a single nucleon by a closed shell (or closed shell plus or minus 1) nucleus. A second-quantized description is used for the many-fermion system, the true state vector being expanded in terms of a complete set of singleparticle model wave functions. Elimination of the variables of all but the scattered nucleon yields a weighting whose S-matrix elements are identical with those of the true S-matrix between states corresponding to elastic scattering. The effective optical model potential is identified from this Schrodinger equation, and is found to be complex and nonlocal. It contains all the effects of the exclusion principle, and is in the form of a linked-cluster perturbation expansion, so that the spurious divergence of Brillouin-Wigner perturbation theory for a large number of nucleons is absent. (auth)
- Research Organization:
- Ohio State Univ., Columbus
- NSA Number:
- NSA-14-011083
- OSTI ID:
- 4178364
- Journal Information:
- Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 15
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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