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Off-Shell T Matrix Corresponding to a Sum of Coulomb and Separable Potentials by Expansion in O(4) Harmonics

J. Math. Phys. 12, 1379 (1971); doi:10.1063/1.1665746

Issue Date: July 1971

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W. W. Zachary
Naval Research Laboratory, Washington, D.C.
Using a group-theoretic approach similar to methods previously used in the pure Coulomb problem, we derive representations for the off-shell ``nuclear'' T matrix-the difference between the complete T matrix and the Coulomb T matrix-corresponding to the sum of Coulomb and separable potentials, in particular, for the sum of Coulomb and Yamaguchi potentials. These representations have some analogous properties to those representations already known for the pure Coulomb T matrix, especially in the on-shell limit. ©1971 The American Institute of Physics
History: Received 14 January 1971
Permalink: http://link.aip.org/link/?JMAPAQ/12/1379/1
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EDITORIALLY RELATED

  1. Errata: Off-shell T matrix corresponding to a sum of Coulomb and separable potentials by expansion in O(4) harmonics
    W. W. Zachary
    J. Math. Phys. 14, 2018 (1973)

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0022-2488 (print)   1089-7658 (online)
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REFERENCES (22)
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  1. Several reviews of this work are available: I. Duck, in Advances in Nuclear Physics, M. Baranger and E. Vogt, Eds. (Plenum, New York, 1968), Vol. I;
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  17. A similar approach was discussed by D. Zwanziger, J. Math. Phys. 8, 1858 (1967), who derived the Coulomb scattering amplitude by this method.
  18. J. D. Talman, Special Functions, A Group Theoretic Approach (Benjamin, New York, 1968), Chap. 12.
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  21. Our parameter µ is the negative of Nutt's parameter nu.
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  23. We refer here to the fact that these on-shell limits do not yield the correct scattering amplitude.
  24. F. Tabakin, Phys. Rev. 174, 1208 (1968).

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