Models for Relativistic Coulomb Sum Rules: Expansions in Moments of the Nuclear Momentum Density

Jun, 1988
36 pages
Published in:
  • Nucl.Phys.A 494 (1989) 365-400
  • Published: 1989
Report number:
  • MIT-CTP-1610,
  • CEBAF-TH-88-33

Citations per year

198919931997200120033210
Abstract: (Elsevier)
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 G En . Comparisons of results using different momentum distributions for the case of 16 O are presented.
  • ELECTRON NUCLEUS: NUCLEAR REACTION
  • ELECTRON NUCLEON: INELASTIC SCATTERING
  • INELASTIC SCATTERING: ELECTRON NUCLEON
  • MOMENTUM SPECTRUM: MOMENT
  • SUM RULE: COULOMB
  • NUCLEUS: GROUND STATE
  • RELATIVISTIC
  • DEPENDENCE: PARAMETRIZATION
  • NUMERICAL CALCULATIONS: INTERPRETATION OF EXPERIMENTS