Separable potentials for the nucleon-nucleon S13-D13 channel

Phys. Rev. C 9, 883 – Published 1 March 1974
Steven C. Pieper


Separable potentials of rank one to five for the nucleon-nucleon S13-D13 channel are constructed using a method introduced by Ernst, Shakin, and Thaler. The potentials all have the same deuteron wave function as the Reid soft-core potential. In addition the phase shifts of the rank-four and -five potentials are quite close to the experimental phase shifts. A survey of previously published separable potentials of rank greater than one is made and it is concluded that most of these potentials have unacceptably poor deuteron properties. A number of errors that were made in the fitting of these potentials to the data are pointed out. A simplification of the Reid soft-core potential for the S13-D13 channel is also presented. The simplified potential consists entirely of Yukawa terms but has experimental properties that generally differ from the original Reid soft-core properties by less than the present experimental error.

[NUCLEAR REACTIONS Separable potentials fitted to Reid S13-D13 phase shifts, deuteron wave function. Previous S13-D13 separable potentials surveyed, errors pointed out. Compared to UPE constructions. Simplified (local) Reid tensor force presented.]


  • Received 23 October 1973
  • Published in the issue dated March 1974

© 1974 The American Physical Society

Authors & Affiliations

Steven C. Pieper

  • Argonne National Laboratory, Argonne, Illinois 60439

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