Relativistic Coulomb Sum Rules for $(e,e^\prime)$

Details Relativistic Coulomb Sum Rules for $(e,e^\prime)$ Relativistic Coulomb Sum Rules for $(e,e^\prime)$

1994-01-14

arxiv.org/abs/nucl-th/9401009v1

Phys.Rev.C49:1961-1975,1994

Physics

Nuclear Physics

Nuclear Theory

32 pages (LaTeX), 4 postscript figures available from the authors

Scientific paper

10.1103/PhysRevC.49.1961

A Coulomb sum rule is derived for the response of nuclei to $(e,e^\prime)$ scattering with large three-momentum transfers. Unlike the nonrelativistic formulation, the relativistic Coulomb sum is restricted to spacelike four-momenta for the most direct connection with experiments; an immediate consequence is that excitations involving antinucleons, e.g., $N{\bar N}$ pair production, are approximately eliminated from the sum rule. Relativistic recoil and Fermi motion of target nucleons are correctly incorporated. The sum rule decomposes into one- and two-body parts, with correlation information in the second. The one-body part requires information on the nucleon momentum distribution function, which is incorporated by a moment expansion method. The sum rule given through the second moment (RCSR-II) is tested in the Fermi gas model, and is shown to be sufficiently accurate for applications to data.

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