Bethe-Salpeter equation for elastic nucleon-nucleon scattering

J. Fleischer; J. A. Tjon

doi:10.1103/PhysRevD.21.87

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Bethe-Salpeter equation for elastic nucleon-nucleon scattering

J. Fleischer

J. A. Tjon

Department of Theoretical Physics, University of Bielefeld, 48 Bielefeld, Germany

Institute for Theoretical Physics, University of Utrecht, Utrecht, The Netherlands

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Phys. Rev. D 21, 87 – Published 1 January, 1980

DOI: https://doi.org/10.1103/PhysRevD.21.87

Abstract

The Bethe-Salpeter equation for $NN$ scattering with one-boson exchange is investigated for the case in which the pion-nucleon coupling is described by axial-vector theory. In contrast to the results with pseudoscalar coupling, good agreement with the experimental data can be obtained for all partial waves. Also, the deviations from the Blankenbecler-Sugar equation are not as large as they are for pseudoscalar coupling. In addition, cancellations between the direct and the crossed box graph with pseudoscalar $π N$ coupling are investigated for the ${}^{3}S_{1}$ phase shift in the framework of the variational operator Padé approximation.

References (12)

J. Fleischer and J. A. Tjon, Nucl. Phys. B84, 375 (1975)
J. Fleischer and J. A. Tjon, Phys. Rev. D 15, 2537 (1977)
J. Fleischer and J. A. Tjon, in Padé and Rational Approximation, edited by E. B. Saff and R. S. Varga (Academic, London and New York, 1977)
L. P. Benofy, J. L. Gammel, and P. Mery, Phys. Rev. D 13, 3111 (1976) L. P. Benofy and J. L. Gammel, in Padé and Rational Approximation, edited by E. B. Saff and R. S. Varga (Academic, London and New York, 1977)
D. Bessis and G. Turchetti, Nucl. Phys. B123, 173 (1977)
K. Fabricius and J. Fleischer, Phys. Rev. D 19, 353 (1979) K. Fabricus and J. Fleischer, in Few Body Systems and Nuclear Forces I, Springer Lecture Notes in Physics, Vol. 82, edited by H. Zingl, M. Haftel, and H. Zankel (Springer, Berlin and New York, 1978)
P. A. Verhoeven, Ph.D. thesis, Catholic University, Nijmegen, 1976 (unpublished)
J. Nutall, in The Padé Approximant in Theoretical Physics, edited by G. A. Baker, Jr. and J. L. Gammel (Academic, London and New York, 1970)
J. L. Basdevant, D. Bessis, and J. Zinn-Justin, Nuovo Cimento 60A, 185 (1969) D. Bessis, in Padé Approximants, edited by P. R. Graves-Morris (Institute of Physics, London and Bristol, 1973)
C. Alabiso, B. Butera, and G. M. Prosperi, Nucl. Phys. B31, 141 (1971)
C. Alabiso, P. Butera, and G. M. Prosperi, Nucl. Phys. B46, 593 (1972)
M. H. Mac Gregor, R. A. Arndt, and R. M. Wright, Phys. Rev. 182, 1214 (1969)

[c1] J. Fleischer and J. A. Tjon, Nucl. Phys. B84, 375 (1975)

[c2] J. Fleischer and J. A. Tjon, Phys. Rev. D 15, 2537 (1977)

[c3] J. Fleischer and J. A. Tjon, in Padé and Rational Approximation, edited by E. B. Saff and R. S. Varga (Academic, London and New York, 1977)

[c4] L. P. Benofy, J. L. Gammel, and P. Mery, Phys. Rev. D 13, 3111 (1976) L. P. Benofy and J. L. Gammel, in Padé and Rational Approximation, edited by E. B. Saff and R. S. Varga (Academic, London and New York, 1977)

[c5] D. Bessis and G. Turchetti, Nucl. Phys. B123, 173 (1977)

[c6] K. Fabricius and J. Fleischer, Phys. Rev. D 19, 353 (1979) K. Fabricus and J. Fleischer, in Few Body Systems and Nuclear Forces I, Springer Lecture Notes in Physics, Vol. 82, edited by H. Zingl, M. Haftel, and H. Zankel (Springer, Berlin and New York, 1978)

[c7] P. A. Verhoeven, Ph.D. thesis, Catholic University, Nijmegen, 1976 (unpublished)

[c8] J. Nutall, in The Padé Approximant in Theoretical Physics, edited by G. A. Baker, Jr. and J. L. Gammel (Academic, London and New York, 1970)

[c9] J. L. Basdevant, D. Bessis, and J. Zinn-Justin, Nuovo Cimento 60A, 185 (1969) D. Bessis, in Padé Approximants, edited by P. R. Graves-Morris (Institute of Physics, London and Bristol, 1973)

[c10] C. Alabiso, B. Butera, and G. M. Prosperi, Nucl. Phys. B31, 141 (1971)

[c11] C. Alabiso, P. Butera, and G. M. Prosperi, Nucl. Phys. B46, 593 (1972)

[c12] M. H. Mac Gregor, R. A. Arndt, and R. M. Wright, Phys. Rev. 182, 1214 (1969)

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Bethe-Salpeter equation for elastic nucleon-nucleon scattering

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