Relativistic Green's-function approximation to the low-energy nucleon-nucleon interaction

P. Mery; G. Turchetti

doi:10.1103/PhysRevD.11.2000

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Relativistic Green's-function approximation to the low-energy nucleon-nucleon interaction

P. Mery^* and G. Turchetti^†

Service de Physique Théorique, Centre d'Études Nucléaires de Saclay, BP n°2-91190 Gif-sur-Yvette, France

^*Centre Universitaire de Luminy, 70 Route Léon Lachamp-13288 Marseille Cedex 2.
^†Istituto di Fisica A Righi, Via Irnerio-Bologna, Italy.

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Phys. Rev. D 11, 2000 – Published 1 April, 1975

DOI: https://doi.org/10.1103/PhysRevD.11.2000

Abstract

From a unitary approximation to the nucleon-nucleon Green's function we derive the phase shifts for the Yukawa model and the nonlinear $σ$ model. The results agree with the experimental data except for the lowest waves: ${}^{1}S_{0}$ , ${}^{3}S_{1}$ , ${}^{3}P_{0}$ where, however, we get good scattering lengths.

References (14)

M. J. Moravcsik, Rep. Prog. Phys. 35, 587 (1972)
A. Gersten, A. S. Green, and R. H. Thompson, Phys. Rev. D 3, 2068 (1971)
J. L. Gammel, M. T. Menzel, and W. R. Wortman, Phys. Rev. D 3, 2175 (1971)
R. H. Gersten, A. S. Green, and R. H. Thompson, Phys. Rev. D 3, 2076 (1971) G. Schierholz, Nucl. Phys. B7, 483 (1968) A. E. S. Green, T. Ueda, and M. L. Nack, Phys. Rev. C 8, 2061 (1973)
D. Bessis, S. Graffi, V. Grecchi, and G. Turchetti, Phys. Rev. D 1, 2064 (1970)
S. Graffi, V. Grecchi, and G. Turchetti, Nuovo Cimento Lett. 4, 281 (1972)
D. Bessis, P. Mery, and G. Turchetti, Phys. Rev. D 10, 1992 (1974)
D. Bessis, G. Turchetti, and W. Wortman, Nuovo Cimento 22A, 157 (1974)
J. Fleischer, J. L. Gammel, and M. T. Menzel, Phys. Rev. D 8, 1545 (1973)
M. L. Goldberger, M. T. Grisaru, S. W. MacDowell, and D. Y. Wong, Phys. Rev. 120, 2250 (1960)
A. Gersten and Z. Solow, Phys. Rev. D 10, 1031 (1974)
D. Bessis and G. Turchetti, in Cargèse Lectures in Physics, edited by D. Bessis (Gordon and Breach, New York, 1973), Vol. 5
M. M. MacGregor, R. A. Arndt, and R. M. Wright, Phys. Rev. 182, 1714 (1969)
D. Bessis, in Padé Approximants and Their Applications, edited by P. R. Graves Morris (Academic, New York, 1973) G. Turchetti, in Padé Approximants and Their Applications, edited by P. R. Graves Morris (Academic, New York, 1973)

[c1] M. J. Moravcsik, Rep. Prog. Phys. 35, 587 (1972)

[c2] A. Gersten, A. S. Green, and R. H. Thompson, Phys. Rev. D 3, 2068 (1971)

[c3] J. L. Gammel, M. T. Menzel, and W. R. Wortman, Phys. Rev. D 3, 2175 (1971)

[c4] R. H. Gersten, A. S. Green, and R. H. Thompson, Phys. Rev. D 3, 2076 (1971) G. Schierholz, Nucl. Phys. B7, 483 (1968) A. E. S. Green, T. Ueda, and M. L. Nack, Phys. Rev. C 8, 2061 (1973)

[c5] D. Bessis, S. Graffi, V. Grecchi, and G. Turchetti, Phys. Rev. D 1, 2064 (1970)

[c6] S. Graffi, V. Grecchi, and G. Turchetti, Nuovo Cimento Lett. 4, 281 (1972)

[c7] D. Bessis, P. Mery, and G. Turchetti, Phys. Rev. D 10, 1992 (1974)

[c8] D. Bessis, G. Turchetti, and W. Wortman, Nuovo Cimento 22A, 157 (1974)

[c9] J. Fleischer, J. L. Gammel, and M. T. Menzel, Phys. Rev. D 8, 1545 (1973)

[c10] M. L. Goldberger, M. T. Grisaru, S. W. MacDowell, and D. Y. Wong, Phys. Rev. 120, 2250 (1960)

[c11] A. Gersten and Z. Solow, Phys. Rev. D 10, 1031 (1974)

[c12] D. Bessis and G. Turchetti, in Cargèse Lectures in Physics, edited by D. Bessis (Gordon and Breach, New York, 1973), Vol. 5

[c13] M. M. MacGregor, R. A. Arndt, and R. M. Wright, Phys. Rev. 182, 1714 (1969)

[c14] D. Bessis, in Padé Approximants and Their Applications, edited by P. R. Graves Morris (Academic, New York, 1973) G. Turchetti, in Padé Approximants and Their Applications, edited by P. R. Graves Morris (Academic, New York, 1973)

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Relativistic Green's-function approximation to the low-energy nucleon-nucleon interaction

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