Elsevier

Nuclear Physics A

Volume 494, Issues 3–4, 10–17 April 1989, Pages 365-400
Nuclear Physics A

Models for relativistic coulomb sum rules: Expansions in moments of the nuclear momentum density

https://doi.org/10.1016/0375-9474(89)90183-8Get rights and content

Abstract

Relativistic Coulomb sum rules for quasielastic electron scattering from nuclei are developed using a class of relativistic models for the nuclear ground-state momentum distribution. Approximate sum rules at constant 3- or 4-momentum transfer are expressed as expansions in moments of the momentum distribution. New sum-rule functions are derived which, even for very large values of energy and momentum where relativistic effects become dominant, approach simple asymptotic values; in doing so they approximately retain the flavor of the nonrelativistic Coulomb sum rule which approaches Z. Specific ways of achieving an optimum separation of effects relating to the electromagnetic response of a single nucleon and of a many-body system of structureless particles are discussed, including a study of sensitivities to alternative parameterizations of GEn. Comparisons of results using different momentum distributions for the case of 16O are presented.

References (27)

  • P. Barreau

    Nucl. Phys.

    (1983)
  • G. Do Dang et al.

    Phys. Rev.

    (1988)
  • J.V. Noble

    Phys. Rev. Lett.

    (1981)
    J.V. Noble

    Phys. Lett.

    (1986)
    L.S. Celenza et al.

    Phys. Rev. Lett.

    (1984)
    L.S. Celenza et al.

    Phys. Rev.

    (1985)
    P.J. Mulders

    Phys. Rev. Lett.

    (1985)
    P.J. Mulders

    Nucl. Phys.

    (1986)
  • E.J. Moniz et al.

    Phys. Rev. Lett.

    (1971)
  • R. Rosenfelder

    Ann. of Phys.

    (1980)
  • R. Altemus

    Phys. Rev. Lett.

    (1980)
  • P. Barreau

    Nucl. Phys.

    (1981)
  • M. Deady

    Phys. Rev.

    (1983)
  • Z.E. Meziani

    Phys. Rev. Lett.

    (1984)
  • Z.E. Meziani

    Nucl. Phys.

    (1985)
  • M. Deady

    Phys. Rev.

    (1986)
  • K.W. McVoy et al.

    Phys. Rev.

    (1962)
    T.W. Donnelly et al.

    Ann. Rev. Nucl. Sci.

    (1975)
    D. Viollier et al.

    Acta Phys. Polon.

    (1977)
  • Y. Horikawa et al.

    Phys. Rev.

    (1980)
  • Cited by (20)

    • Energy levels of light nuclei A = 16-17

      1993, Nuclear Physics, Section A
    View all citing articles on Scopus

    This work is supported in part by funds provided by the US Department of Energy (DOE) under contracts #DE-AC02-76ER03069 (TWD and ELK) and #DE-FG05-87ER40322 and DOE funded research at CEBAF (JWVO).

    View full text