Study of Nucleon-Nucleus Elastic Scattering in Second-Order Multiple-Scattering Theory

Abstract

Nucleon-nucleus scattering is studied in the energy range 95-350 MeV for targets ranging from carbon to lead. The relative importance of the first and second order terms in Watson's multiple-scattering expansion of the optical potential in terms of the two-nucleon scattering matrix is investigated with the nucleon-nucleon phase parameters obtained at Yale. Effects of including the angular dependence of the two-nucleon ampli tudes, as Cromer has done, are compared with those of the second-order potential, and they are found to be equally important so that both must be included for consistency. The possibility of investigating nuclearstructure parameters, especially the two-nucleon correlation lengths brought in by the second-order po tential, is considered.

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“…1 simple arguments, so that it is not necessary for the present purpose to con• sider in detail analyses like that of McDonald & Hull (2). They do however serve as an essential guarantee of the overall correctness of the results ob tained.…”

Nuclear sizes and the optical model

“…A number of estimates of multiple scattering corrections have been carried out for nucleon scattering in the 100-300 MeV region. Most of these calculations (Kerman et a1 1959, McDonald and Hull 1966, Chalmers and Saperstein 1967, Tatischeff 1967 use rather simple approximations to treat the two-nucleon correlation function which appears in the double scattering term so that these calculations indicate clearly the importance of multiple scattering but do not substantially improve agreement with the data. I n a more recent paper (Johnson and Martin 1972) a method has been presented for treating exactly the non-locality of the second term in the multiple scattering expansion of the potential and of incorporating the Pauli correlations obtained from a realistic single-particle model of the nucleus.…”

High-energy approximations to nuclear scattering

“…Watson's multiple scattering expansion [2][3][4][5] has been used extensively in the study of the optical potential up to second order [6][7][8][9][10][11]. A different method based on the work by Kerman, McManus and Thaler [12] has recently been developed by Feshbach and collaborators [13][14][15].…”