Shape-Independent Theory of High-Energy Nucleon-Nucleon Scattering

Louis A. P. Balázs

doi:10.1103/PhysRev.124.602

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Shape-Independent Theory of High-Energy Nucleon-Nucleon Scattering

Louis A. P. Balázs

Department of Physics, University of California, Berkeley, California

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Phys. Rev. 124, 602 – Published 15 October, 1961

DOI: https://doi.org/10.1103/PhysRev.124.602

Abstract

A shape-independent formula for nucleon-nucleon phase shifts, approximately valid over wide energy ranges is derived, assuming only general properties of the wave function and potential. It is found to approximately reproduce the $S$ , $P$ , and $D$ proton-proton phase shifts in the ranges 10-150 Mev and 10-310 Mev with two, or at most three, free parameters per state. A generalization, which includes part or all of the outer potential exactly, is derived at the same time.

References (20)

R. J. N. Phillips, Reports on Progress in Physics (The Physical Society, London, 1959), Vol. 22, p. 562
J. L. Gammel and R. M. Thaler, Progress in Elementary Particle and Cosmic-Ray Physics (North Holland Publishing Company, Amsterdam, 1960), Vol. 5, p. 97
T. Hamada et al., Progr. Theoret. Phys. (Kyoto) 22, 566 (1959) ibid.23, 366 (1960)
R. A. Bryan, Nuovo cimento 16, 895 (1960)
T. Hamada, Progr. Theoret. Phys. 24, 220, 1033 (1960) ibid.25, 246 (1961)
M. H. MacGregor, M. J. Moravcsik, and H. P. Stapp, Ann. Rev. Nuclear Sci. 10, 291 (1960)
G. Breit et al., Phys. Rev. 120, 2227 (1961)
H. P. Stapp, M. J. Moravcsik, and H. P. Noyes (private communication)
H. Feshbach and E. Lomon, Phys. Rev. 102, 891 (1956)
R. B. Raphael, Phys. Rev. 102, 905 (1956) ibid.107, 1135 (1957)
H. P. Noyes, University of California Radiation Laboratory Report UCRL-5521-T, 1959 (unpublished) Proceedings of the International Conference on Nuclear Forces and the Few Nucleon Problem (Pergamon Press, New York, 1960), p. 39
J. K. Perring and R. J. N. Phillips (to be published)
P. Signell and R. Yoder, Phys. Rev. 122, 1897 (1961)
J. Schwinger, Phys. Rev. 78, 135 (1950)
M. J. Moravcsik, University of California Radiation Laboratory Report UCRL-5317-T, 1958 (unpublished)
M. Taketani et al., Suppl. Progr. Theoret. Phys. (Kyoto) 1, No. 3 (1956)
R. S. Christian and E. W. Hart, Phys. Rev. 77, 441 (1950)
P. Signell and R. E. Marshak, Phys. Rev. 109, 1229 (1958)
S. D. Drell and K. Huang, Phys. Rev. 91, 1527 (1953)
Omitted endnote

[c1] R. J. N. Phillips, Reports on Progress in Physics (The Physical Society, London, 1959), Vol. 22, p. 562

[c2] J. L. Gammel and R. M. Thaler, Progress in Elementary Particle and Cosmic-Ray Physics (North Holland Publishing Company, Amsterdam, 1960), Vol. 5, p. 97

[c3] T. Hamada et al., Progr. Theoret. Phys. (Kyoto) 22, 566 (1959) ibid.23, 366 (1960)

[c4] R. A. Bryan, Nuovo cimento 16, 895 (1960)

[c5] T. Hamada, Progr. Theoret. Phys. 24, 220, 1033 (1960) ibid.25, 246 (1961)

[c6] M. H. MacGregor, M. J. Moravcsik, and H. P. Stapp, Ann. Rev. Nuclear Sci. 10, 291 (1960)

[c7] G. Breit et al., Phys. Rev. 120, 2227 (1961)

[c8] H. P. Stapp, M. J. Moravcsik, and H. P. Noyes (private communication)

[c9] H. Feshbach and E. Lomon, Phys. Rev. 102, 891 (1956)

[c10] R. B. Raphael, Phys. Rev. 102, 905 (1956) ibid.107, 1135 (1957)

[c11] H. P. Noyes, University of California Radiation Laboratory Report UCRL-5521-T, 1959 (unpublished) Proceedings of the International Conference on Nuclear Forces and the Few Nucleon Problem (Pergamon Press, New York, 1960), p. 39

[c12] J. K. Perring and R. J. N. Phillips (to be published)

[c13] P. Signell and R. Yoder, Phys. Rev. 122, 1897 (1961)

[c14] J. Schwinger, Phys. Rev. 78, 135 (1950)

[c15] M. J. Moravcsik, University of California Radiation Laboratory Report UCRL-5317-T, 1958 (unpublished)

[c16] M. Taketani et al., Suppl. Progr. Theoret. Phys. (Kyoto) 1, No. 3 (1956)

[c17] R. S. Christian and E. W. Hart, Phys. Rev. 77, 441 (1950)

[c18] P. Signell and R. E. Marshak, Phys. Rev. 109, 1229 (1958)

[c19] S. D. Drell and K. Huang, Phys. Rev. 91, 1527 (1953)

[c20] Omitted endnote

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Shape-Independent Theory of High-Energy Nucleon-Nucleon Scattering

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