Elsevier

Annals of Physics

Volume 45, Issue 2, November 1967, Pages 265-313
Annals of Physics

Effect of exchange and the pauli principle on nucleon—Nucleus scattering. II

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Abstract

The exchange operator 1(1 − K), introduced in an earlier paper, is discussed. To this end, the eigen-problem for the K-matrix is examined and examples are given. The role of the exchange operator is interpreted in the context of exchange scattering and the Pauli principle with emphasis placed on the treatment of spurious levels arising from these effects. An effective Schrödinger equation for open-channel amplitudes alone is constructed from a truncated set of coupled equations and the components of the Hamiltonian in this equation are examined and illustrated. Two calculations are discussed, one applying the formal treatment of this and the earlier paper to a shell-model-type calculation of n-−16O elastic scattering, the second treating the same problem but omitting certain exchange corrections. The results of the two calculations are compared.

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Work based on part of a thesis submitted in June 1966 to the Physics Department, M.I.T., in partial fulfilment of the requirements for the degree of Doctor of Philosophy.

National Science Foundation Postdoctoral Fellow.

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