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Two-Nucleon L·S Potential in Pseudoscalar Meson Theory

Iddings, C. K. and Platzman, P. M. (1960) Two-Nucleon L·S Potential in Pseudoscalar Meson Theory. Physical Review, 120 (2). pp. 644-672. ISSN 0031-899X.

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Nonstatic corrections to the two-nucleon potential of Brueckner and Watson and of Gartenhaus are computed within the framework of the γ5 theory. These terms appear as spin-orbit corrections of order μ/M to the static potentials. The S matrix is calculated in second and fourth order for a reduced form of the relativistic theory. The potential is then chosen so as to duplicate this S matrix to the required order in the coupling constant and μ/M. We consider to what extent our reduction of the γ5 theory changes its character. The resulting potentials are given in analytic form for no cutoff in momentum space and in numerical form for the Gaussian cutoff employed by Gartenhaus. We give also some additional static corrections to previous potentials. A qualitative comparison is made with the experimental observations in nucleon-nucleon scattering, the fine structure in the splitting of the He5 nucleus, and the contribution of the nonstatic potential to the magnetic moment of the deuteron.

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Additional Information:©1960 The American Physical Society Received 5 October 1959; revised 1 April 1960 We would like to thank Dr. M. Gell-Mann for suggesting this problem and for his continuing aid and encouragement during the course of the computation. We would like to especially thank Dr. R. P. Feynman with whom all parts of the final manuscript were discussed. Thanks is also due to the Hughes Aircraft Company for the use of the IBM 709 Computer and for their help in preparing the manuscript. We would also like to thank Dr. Sugawara and Dr. Okubo for a preprint of their work and for some interesting comments on this problem, and Dr. R. F. Christy for a number of informative discussions. This work was supported, in part, by the U.S. Atomic Energy Commission. [C.K.I. was a] Rand Fellow. [P.M.P. was a] Howard Hughes Fellow.
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Deposited On:06 Nov 2006
Last Modified:02 Oct 2019 23:27

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