Relativistic approaches to structure functions of nuclei

Details Relativistic approaches to structure functions of nuclei Relativistic approaches to structure functions of nuclei

2001-06-14

arxiv.org/abs/nucl-th/0106032v2

Phys.Rev. C65 (2002) 024310

Physics

Nuclear Physics

Nuclear Theory

Comparison with data is included, to be published in PRC, Feb. 2002

Scientific paper

10.1103/PhysRevC.65.024310

We employ a propagator technique to derive a new relativistic $1/\qq$ expansion of the structure function of a nucleus, composed of point-nucleons. We exploit non-relativistic 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 3-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 non-relativistic analog by a mere change of a scaling variable and an 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.

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