Abstract
The problem of the correct form of the electromagnetic current operator is considered when the Schrödinger equation has a nonlocal potential. By looking at the mesonic origin of exchange potentials, and assuming the mesons are ‘minimally’ coupled to the electromagnetic field, it is concluded that the minimal prescription for the nonlocal potential is generally wrong. Doing nothing about the momentum dependence of the potential corresponds to choosing a ‘maximal’ current; this violates the soft photon theorem but is gauge invariant. The correct current to associate with the exchange of a charged scalar meson is written down, and it is intermediate between the minimal and maximal choices. The implications for nucleon-nucleon bremsstrahlung calculations are discussed.
Work supported by the United States Atomic Energy Commission.
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References
B. Bakamjian and L. H. Thomas, Phys. Rev. 92, 1300 (1953);
L. L. Foldy, Phys. Rev. 122, 275 (1961).
H. Osborn, Phys. Rev. 176, 1514 (1968);
R. A. Krajcik and L. L. Foldy, Phys. Rev. Letts. 24, 545 (l970).
If there are one or more gradients present we call that a nonlocal potential.
R. K. Osborn and L. L. Foldy, Phys. Rev. 79, 795 (1950).
This was done by J. A. Wheeler, Phys. Rev. 50, 643 (1936), for an exchange potential.
R. G. Sachs, Phys. Rev. 74, 433 (1948).
F. E. Low, Phys. Rev. 110, 974 (1958).
H. Ekstein, Phys. Rev. 117, 1590 (1960). This is not the most general unitary transformation; see
G. A. Baker, Phys. Rev. 128, 1485 (1962), and
F. Coester, S. Cohen, B. Day, and C. M. Vincent, Phys. Rev. C 1, 769 (1970) for others.
L. L. Foldy (private communication). I am indebted to Professor Foldy for this observation.
This suggestion was made by Dr. G. G. Zipfel, Jr. (private commimication).
R. Baier, H. Kiihnelt, and P. Urban, Nucl. Phys. B11, 675 (1969).
M. L. Halbert, “Review of Experiments on Nucleon-Nucleon Bremsstrahlung,” invited paper for the Gull Lake Symposium on the Two-Body Force in Nuclei.
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© 1972 Plenum Press, New York
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Heller, L. (1972). Some Basic Questions in Nucleon-Nucleon Bremsstrahlung. In: Austin, S.M., Crawley, G.M. (eds) The Two-Body Force in Nuclei. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8337-6_9
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DOI: https://doi.org/10.1007/978-1-4684-8337-6_9
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