dorsal/arxiv
View SchemaNuclear Effects In The F_3 Structure Function For Finite And Asymptotic Q^2
| Authors | S. A. Kulagin |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9801039 |
| URL | https://arxiv.org/abs/nucl-th/9801039 |
| DOI | 10.1016/S0375-9474(98)00447-3 |
| Journal | Nucl.Phys.A640:435-456,1998 |
Abstract
We study nuclear effects in the structure function F_3 which describes the parity violating part of the charged-current neuitrino nucleon deep inelastic scattering. Starting from a covariant approach we derive a factorized expression for the nuclear structure function in terms of nuclear spectral function and off-shell nucleon structure functions valid for arbitrary momentum transfer Q and in the limit of weak nuclear binding, i.e. when a nucleus can be treated as a non-relativistic system. We develop a systematic expansion of nuclear structure functions in terms of Q^{-2} series caused by nuclear effects ("nuclear twist" series). Basing on this expansion we calculate nuclear corrections to the Gross-Llewellyn-Smith sum rule as well as to higher moments of F_3. We show that corrections to the GLS sum rule due to nuclear effects cancel out in the Bjorken limit and calculate the corresponding Q^{-2} correction. Special attention is payed to the discussion of the off-shell effects in the structure functions. A sizable impact of these effects both on Q^2- and x-dependence of nuclear structure functions is found.
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"abstract": "We study nuclear effects in the structure function F_3 which describes the\nparity violating part of the charged-current neuitrino nucleon deep inelastic\nscattering. Starting from a covariant approach we derive a factorized\nexpression for the nuclear structure function in terms of nuclear spectral\nfunction and off-shell nucleon structure functions valid for arbitrary momentum\ntransfer Q and in the limit of weak nuclear binding, i.e. when a nucleus can be\ntreated as a non-relativistic system. We develop a systematic expansion of\nnuclear structure functions in terms of Q^{-2} series caused by nuclear effects\n(\"nuclear twist\" series). Basing on this expansion we calculate nuclear\ncorrections to the Gross-Llewellyn-Smith sum rule as well as to higher moments\nof F_3. We show that corrections to the GLS sum rule due to nuclear effects\ncancel out in the Bjorken limit and calculate the corresponding Q^{-2}\ncorrection. Special attention is payed to the discussion of the off-shell\neffects in the structure functions. A sizable impact of these effects both on\nQ^2- and x-dependence of nuclear structure functions is found.",
"arxiv_id": "nucl-th/9801039",
"authors": [
"S. A. Kulagin"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0375-9474(98)00447-3",
"journal_ref": "Nucl.Phys.A640:435-456,1998",
"title": "Nuclear Effects In The F_3 Structure Function For Finite And Asymptotic Q^2",
"url": "https://arxiv.org/abs/nucl-th/9801039"
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