Abstract
Recent numerical results for a relativistic OBE model of the NN interaction, obtained by solving a relativistic equation with one-particle on mass-shell, will be presented and discussed. Two meson exchange models, one with only four mesons (π, σ, ϱ, ω) but with a 25% admixture ofγ 5 coupling for the pion, and a second with six mesons (π, σ, ϱ, δ, η) but pureγ 5 γ μ pion coupling, are shown to give very good quantitative fits to the NN scattering phase shifts below 400 MeV, and also a good description of the p40Ca elastic scattering observables. Applications of this model to electromagnetic interactions of the two body system, with emphasis on the determination of relativistic current operators consistent with the dynamics and the exact treatment of current conservation in the presence of phenomenological form factors, will be described.
Similar content being viewed by others
References
Blankenbecler R., Cook L. F.: Phys. Rev.119 (1960) 1745.
Remler E. A.: Nucl. Phys. B42 (1972) 56.
Buck W. W. and Gross F.: Phys. Rev. D20 (1979) 2361.
Gross F.: Phys. Rev. C26 (1982) 2226.
Gross F.: Phys. Rev.186 (1969) 1448; Phys. Rev. D10 (1974) 223.
Tjon J. A. and Wallace S. J.: Phys. Rev. C36 (1987) 1085.
Serot B. D., Walecka J. D.: Advances in Nuclear Physics v. 16 (Eds. J. W. Negele, E. Vogt). Plenum Press, New York, 1986.
Gross F.: Phys. Rev. C26 (1982) 2203.
Gross F., Maung Maung K., Tjon J. A., Townsend L. W., Wallace S. J.: CEBAF preprint (submitted for publication).
Serot B., Horowitz C.: Nucl. Phys. A368 (1981) 503.
Jaus W., Woolcock W. S.: Helvetia Physica Acta57 (1984) 644.
Blackenbecler R., Sugar R.: Phys. Rev.142 (1966) 1051.
Gross F., Riska D. O.: Phys. Rev. C36 (1987) 1929.
Salpeter E. E., Bethe H. A.: Phys. Rev.84 (1951) 1232.
Author information
Authors and Affiliations
Additional information
Invited talk to the symposium “Mesons and Light Nuclei IV”, Bechyně, Czechoslovakia, September 5–10, 1988.
It is a pleasure to acknowledge the support of the Department of Energy through CEBAF.
Rights and permissions
About this article
Cite this article
Gross, F. Recent applications of relativistic equations to the few body problem. Czech J Phys 39, 871–883 (1989). https://doi.org/10.1007/BF01599200
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01599200