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A covariant description of the deuteron

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Czechoslovak Journal of Physics Aims and scope

Abstract

An introduction to the use of Bethe-Salpeter and quasipotential equations in the description of electron scattering from the deuteron is provided. The basic formalism and many technical issues are introduced in the context of a simple scalar theory. Results for bound-state wave functions and scattering phases shifts for a variety of quasipotential prescriptions are presented and qualitative characteristics of these solutions are discussed. The elastic form factors for the bound state in this model are calculated using the spectator or Gross equation. The calculations are then extended to account for the complexities associated with nucleon spin and results are presented for the elastic structure functions of the deuteron using the spectator equation. This calculation is shown to produce a good description of elastic electron scattering from the deuteron over the range of momentum transfers for which data are available.

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References

  1. Keister B. D. and Polyzou W. N.: Adv. Nucl. Phys.20 (1961) 225.

    Google Scholar 

  2. Chung P. L., Coester F., Keister B. D., and Polyzou W. N.: Phys. Rev. C37 (1988) 2000.

    Google Scholar 

  3. Salpeter E. E. and Bethe H. A.: Phys. Rev.84 (1951) 1232.

    Google Scholar 

  4. Fleischer J. and Tjon J. A.: Nucl. Phys. B84 (1975) 375; Phys. Rev. D15 (1977) 2537;21 (1980) 87.

    Google Scholar 

  5. van Faassen E. and Tjon J. A.: Phys. Rev. C28 (1983) 2354;30 (1984) 285;33 (1986) 2105.

    Google Scholar 

  6. Zuilhof M. J. and Tjon J. A.: Phys. Rev. C22 (1980) 2369;24 (1981) 736.

    Google Scholar 

  7. Umnikov A. Yu. and Khanna F. C.: Phys. Rev. C49 (1994) 2311.

    Google Scholar 

  8. Blankenbecler R. and Sugar R.: Phys. Rev.142 (1966) 1051.

    Google Scholar 

  9. Logunov A. A. and Tavkhelidze A. N.: Nuovo Cimento29 (1963) 380.

    Google Scholar 

  10. Thompson R. H.: Phys. Rev. D1 (1970) 1738.

    Google Scholar 

  11. Todorov I. T.: Phys. Rev. D10 (1971) 2351.

    Google Scholar 

  12. Erkelenz K. and Holinde K.: Nucl. Phys. A194 (1972) 161.

    Google Scholar 

  13. Kadychevsky V. G.: Nucl. Phys. B6 (1968) 125.

    Google Scholar 

  14. Gross F.: Phys. Rev.186 (1969) 1448; Phys. Rev. D10 (1974) 223.

    Google Scholar 

  15. Gross F.: Phys. Rev. C26 (1982) 2203.

    Google Scholar 

  16. Gross F., Van Orden J. W., and Holinde K.: Phys. Rev. C41 (1990) R1909.

    Google Scholar 

  17. Gross F., Van Orden J. W., and Holinde K.: Phys. Rev. C45 (1992) 2094.

    Google Scholar 

  18. Buck W. W. and Gross F.: Phys. Rev. D20 (1979) 2361.

    Google Scholar 

  19. Arnold R. E., Carlson C. E., and Gross F.: Phys. Rev. C21 (1980) 2361.

    Google Scholar 

  20. Hummel E. and Tjon J. A.: Phys. Rev. Lett.63 (1989) 1788.

    Google Scholar 

  21. Wallace S. J. and Mandelzweig V. B.: Nucl. Phys. A503 (1989) 673.

    Google Scholar 

  22. Devine N. K. and Wallace S. J.: Phys. Rev. C48 (1993) 973.

    Google Scholar 

  23. Zhu X., Gourishankar R., Khanna F. C., Leung G. Y., and Mobed N.: Phys. Rev. C45 (1992) 959.

    Google Scholar 

  24. Fuda M. G.: Phys. Rev. D44 (1991) 1880.

    Google Scholar 

  25. Karmanov V. A. and Smirnov A. V.: Nucl. Phys. A546 (1992) 691.

    Google Scholar 

  26. Lurie D.: Particles and Fields. Wiley-Interscience, London, 1968.

    Google Scholar 

  27. Coester F. and Riska D. O.: Preprint nucl-th 9309026.

  28. Brown G. E. and Jackson A. D.: The Nucleon-Nucleon Interaction. North-Holland, Amsterdam, 1976.

    Google Scholar 

  29. Gross F.: Relativistic Quantum Mechanics and Field Theory. Wiley-Interscience, New York, 1993.

    Google Scholar 

  30. Gross F. and Riska D. O.: Phys. Rev. C36 (1987) 1928.

    Google Scholar 

  31. Ward J. C.: Phys. Rev.78 (1950) 182.

    Google Scholar 

  32. Takahashi Y.: Nuovo Cimento6 (1957) 371.

    Google Scholar 

  33. Arndt R. A. and Roper L. D.: Scattering Analysis and Interactive Dial-in (SAID) program, Virginia Polytechnic Institute and State University.

  34. Galster S., Klein H., Moritz J., Schmidt K. H., and Wegener D.: Nucl. Phys. B32 (1971) 221.

    Google Scholar 

  35. Ito H. and Gross F.: Phys. Rev. Lett.71 (1993) 2555.

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Old Dominion University, 23529, Norfolk, VA, USA

    J. W. Van Orden

  2. Continuous Electron Beam Accelerator Facility, 12000 Jefferson Avenue, 23606, Newport News, VA, USA

    J. W. Van Orden

Authors
  1. J. W. Van Orden
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Additional information

Lectures given at The Indian-Summer School on Electron Scattering from Nucleons and Nuclei, Prague (The Czech Republic), September 1994.

Supported by D.O.E. contracts #DE-AC05-84ER40150 and #DE-FG05-94ER40832.

The author would like to acknowledge the collaborative efforts of Franz Gross and Neal Devine, and many useful discussions with John Tjon.

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Van Orden, J.W. A covariant description of the deuteron. Czech J Phys 45, 181–207 (1995). https://doi.org/10.1007/BF01724518

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  • DOI: https://doi.org/10.1007/BF01724518

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