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Relativistic approaches to structure functions of nuclei

S. A. Gurvitz·A. S. Rinat
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Abstract

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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S. A. Gurvitz, A. S. Rinat. 2001-11-08. Relativistic approaches to structure functions of nuclei. https://doi.org/10.1103/physrevc.65.024310

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