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Phys. Rev. C 65, 024310 (2002) [12 pages]

Relativistic approaches to structure functions of nuclei

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S. A. Gurvitz1,2 and A. S. Rinat1
1Weizmann Institute of Science, Department of Particle Physics, Rehovot 76100, Israel
2Cyclotron Institute, Texas A&M University, College Station, Texas 77843

Received 14 June 2001; published 14 January 2002

We employ a propagator technique to derive a new relativistic 1/|q| expansion of the structure function of a nucleus, composed of point nucleons. We exploit nonrelativistic features of low-momentum nucleons in the target and only treat relativistically the nucleon after absorption of a high-momentum virtual photon. The new series permits a three-dimensional reduction of each term and a formal summation of all final state interaction terms. We then show that a relativistic structure function can be obtained from its nonrelativistic analog by a mere change of a scaling variable and the addition of an energy shift. We compare the obtained result with an ad hoc generalized Gersch-Rodriguez-Smith theory, previously used in computations of nuclear structure functions.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.65.024310
DOI:
10.1103/PhysRevC.65.024310
PACS:
24.10.-i, 21.65.+f, 11.80.-m