Pseudoscalar and Vector-Meson Models for Nucleon-Nucleon Scattering Outside the Phenomenological Core

Bruce M. Barker; Richard D. Haracz

doi:10.1103/PhysRevD.4.1336

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Pseudoscalar and Vector-Meson Models for Nucleon-Nucleon Scattering Outside the Phenomenological Core

Bruce M. Barker

Richard D. Haracz

Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803

Physics Department, Drexel University, Philadelphia, Pennsylvania 19104

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Phys. Rev. D 4, 1336 – Published 1 September, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.1336

Abstract

The one-pion-exchange (OPE), one- and two-pion-exchange (OPE+TPE), and pseudoscalar-vector-meson-exchange ( $PV$ ) models are described. The corresponding phase parameters are compared with the phenomenological phase parameters excluding the $S$ -state parameters and the coupled $D$ -state contribution. It is found that the OPE + TPE model is a definite improvement on the OPE model, and it provides a reasonably good fit to the phenomenological values for the $D$ -state and higher- $L$ contributions. The introduction of the $η$ pseudoscalar resonance and the $ω$ and $ρ$ vector resonances in the $PV$ model does not improve upon the fit to the $L \geq 2$ phases. However, the $PV$ model improves upon both the OPE and OPE + TPE models in a comparison with the $P$ -state phases, and it reduces the value of the pion-nucleon coupling constant.

References (12)

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E. Lomon and H. Feshbach, Rev. Mod. Phys. 39, 611 (1967) Ann. Phys. (N.Y.) 48, 94 (1968) M. H. Partovi and E. Lomon, Phys. Rev. Letters 22, 438 (1969) Phys. Rev. D 2, 1999 (1970)
R. D. Haracz and R. D. Sharma, Phys. Rev. 176, 2013 (1968) B. M. Barker and R. D. Haracz, ibid. 186, 1624 (1969) The work of W. R. Wortman, ibid. 176, 1762 (1968) [2]
S. S. El-Ghabaty, S. N. Gupta, and J. Kaskas, Phys. Rev. D 1, 249 (1970) B. M. Barker and R. D. Haracz, ibid. 1, 3187 (1970)
R. E. Seamon, K. A. Friedman, G. Breit, R. D. Haracz, J. M. Holt, and A. Prakash, Phys. Rev. 165, 1579 (1968)
B. M. Barker, S. N. Gupta, and R. D. Haracz, Phys. Rev. 142, 1144 (1966)
P. J. Biggs, D. W. Braben, R. W. Clifft, E. Gabathuler, P. Kitching, and R. E. Rand, Phys. Rev. Letters 24, 1197 (1970) H. Alvensleben, U. Becker, W. K. Bertram, M. Chen, K. J. Cohen, R. T. Edwards, T. M. Knasel, R. Marshall, D. J. Quinn, M. Rohde, G. H. Sanders, H. Schubel, and S. C. C. Ting, ibid. 25, 1273 (1970) S. C. C. Ting, in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, Switzerland, 1968) J. Hamilton, High-Energy Physics, edited by E. H. S. Burhop (Academic, New York, 1967), Vol. I, Chap. 3, p. 193
G. Breit, M. Tischler, S. Mukherjee, and L. Lucas, Proc. Natl. Acad. Sci. U.S. 68, 897 (1971) G. Breit, ibid. 63, 223 (1969) Nucl. Phys. B14, 507 (1969)

[c1] S. N. Gupta, Phys. Rev. 117, 1146 (1960) ibid.122, 1923 (1961)

[c2] S. N. Gupta, R. D. Haracz, and J. Kaskas, Phys. Rev. 138, B1500 (1965)

[c3] G. Breit, K. E. Lassila, H. M. Ruppel, and M. H. Hull, Jr., Phys. Rev. Letters 6, 138 (1961)

[c4] G. Breit, Proc. Natl. Acad. Sci. U.S. 46, 746 (1960) Phys. Rev. 120, 287 (1960)

[c5] G. Breit and R. D. Haracz, High-Energy Physics, edited by E. H. S. Burhop (Academic, New York, 1967), Vol. I, Chap. 2, p. 21 T. Ueda and A. E. S. Green, Phys. Rev. 174, 1304 (1968) R. A. Bryan and B. L. Scott, ibid. 177, 1435 (1969) R. H. Thompson, A. Gersten, and A. E. S. Green, Phys. Rev. D 3, 2069 (1971) A. Gersten, R. H. Thompson, and A. E. S. Green, ibid. 3, 2076 (1971)

[c6] E. Lomon and H. Feshbach, Rev. Mod. Phys. 39, 611 (1967) Ann. Phys. (N.Y.) 48, 94 (1968) M. H. Partovi and E. Lomon, Phys. Rev. Letters 22, 438 (1969) Phys. Rev. D 2, 1999 (1970)

[c7] R. D. Haracz and R. D. Sharma, Phys. Rev. 176, 2013 (1968) B. M. Barker and R. D. Haracz, ibid. 186, 1624 (1969) The work of W. R. Wortman, ibid. 176, 1762 (1968) [2]

[c8] S. S. El-Ghabaty, S. N. Gupta, and J. Kaskas, Phys. Rev. D 1, 249 (1970) B. M. Barker and R. D. Haracz, ibid. 1, 3187 (1970)

[c9] R. E. Seamon, K. A. Friedman, G. Breit, R. D. Haracz, J. M. Holt, and A. Prakash, Phys. Rev. 165, 1579 (1968)

[c10] B. M. Barker, S. N. Gupta, and R. D. Haracz, Phys. Rev. 142, 1144 (1966)

[c11] P. J. Biggs, D. W. Braben, R. W. Clifft, E. Gabathuler, P. Kitching, and R. E. Rand, Phys. Rev. Letters 24, 1197 (1970) H. Alvensleben, U. Becker, W. K. Bertram, M. Chen, K. J. Cohen, R. T. Edwards, T. M. Knasel, R. Marshall, D. J. Quinn, M. Rohde, G. H. Sanders, H. Schubel, and S. C. C. Ting, ibid. 25, 1273 (1970) S. C. C. Ting, in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, Switzerland, 1968) J. Hamilton, High-Energy Physics, edited by E. H. S. Burhop (Academic, New York, 1967), Vol. I, Chap. 3, p. 193

[c12] G. Breit, M. Tischler, S. Mukherjee, and L. Lucas, Proc. Natl. Acad. Sci. U.S. 68, 897 (1971) G. Breit, ibid. 63, 223 (1969) Nucl. Phys. B14, 507 (1969)

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Pseudoscalar and Vector-Meson Models for Nucleon-Nucleon Scattering Outside the Phenomenological Core

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