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Published June 1, 1949 | Published
Journal Article Open

On the analysis of nucleon-nucleon scattering experiments

Abstract

A method of perturbation calculation, especially adapted to nucleon-nucleon scattering problems, is described. Any contribution to the energy of the system which is relatively small where the nuclear potential is large may be treated as the perturbation. Two principal examples are discussed. (1) Energy as the perturbation: An expansion of the phase shifts in powers of the energy is written down which extends earlier results of Schwinger, Blatt, and Jackson. (2) The Coulomb field as the perturbation in the proton-proton problem: Expansions are given which relate the nuclear phase shifts in a combined nuclear and Coulomb field to the corresponding phase shifts for a purely nuclear problem. Attention is confined to central forces throughout.

Additional Information

© 1949 The American Physical Society. Received 17 January 1949. We are indebted to Professor Serber who first pointed out to us the possibility of obtaining the expansions by a straightforward non-variational procedure and who contributed helpful advice at many points. Thanks are also due R.S. Christian for the scheme of including boundary conditions in the integral equation (11) and for many enlightening discussions on the general scattering problem. Work described in this report was performed under the auspices of the AEC.

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August 21, 2023
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