dorsal/arxiv
View SchemaOn the relation between nuclear and nucleon Structure Functions and their moments
| Authors | A. S. Rinat, M. F. Taragin |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0510034 |
| URL | https://arxiv.org/abs/nucl-th/0510034 |
| DOI | 10.1103/PhysRevC.73.045201 |
| Journal | Phys.Rev.C73:045201,2006 |
Abstract
Calculations of nuclear Structure Functions (SF) F_k^A(x,Q^2) routinely exploit a generalized convolution, involving the SF for nucleons F_k^N and the linking SF f^{PN,A} of a fictitious nucleus, composed of point-particles, with the latter usually expressed in terms of hadronic degrees of freedom. For finite Q^2 the approach seemed to be lacking a solid justification and the same is the case for recently proposed, effective nuclear parton distribution functions (pdf), which exactly reproduce the above-mentioned hadronically computed F_k^A. Many years ago Jaffe and West proved the above convolution in the Plane Wave Impulse Approximation (PWIA) for the nuclear components in the convolution. In the present note we extend the above proof to include classes of nuclear Final State Interactions (FSI). One and the same function appears to relate parton distribution functions (pdf) in nuclei and nucleons, and SF for nuclear targets and for nucleons. That relation is the previously conjectured one,with an entirely different interpretation of f^{PN,A}. We conclude with an extensive analysis of moments of nuclear SF based on the generalized convolution. Characteristics of those moments are shown to be quite similar to the same for a nucleon. We conclude that the above evidences asymptotic freedom of a nucleon in a medium and not of a composite nucleus.
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"abstract": "Calculations of nuclear Structure Functions (SF) F_k^A(x,Q^2) routinely\nexploit a generalized convolution, involving the SF for nucleons F_k^N and the\nlinking SF f^{PN,A} of a fictitious nucleus, composed of point-particles, with\nthe latter usually expressed in terms of hadronic degrees of freedom. For\nfinite Q^2 the approach seemed to be lacking a solid justification and the same\nis the case for recently proposed, effective nuclear parton distribution\nfunctions (pdf), which exactly reproduce the above-mentioned hadronically\ncomputed F_k^A. Many years ago Jaffe and West proved the above convolution in\nthe Plane Wave Impulse Approximation (PWIA) for the nuclear components in the\nconvolution. In the present note we extend the above proof to include classes\nof nuclear Final State Interactions (FSI). One and the same function appears to\nrelate parton distribution functions (pdf) in nuclei and nucleons, and SF for\nnuclear targets and for nucleons. That relation is the previously conjectured\none,with an entirely different interpretation of f^{PN,A}. We conclude with an\nextensive analysis of moments of nuclear SF based on the generalized\nconvolution. Characteristics of those moments are shown to be quite similar to\nthe same for a nucleon. We conclude that the above evidences asymptotic freedom\nof a nucleon in a medium and not of a composite nucleus.",
"arxiv_id": "nucl-th/0510034",
"authors": [
"A. S. Rinat",
"M. F. Taragin"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.045201",
"journal_ref": "Phys.Rev.C73:045201,2006",
"title": "On the relation between nuclear and nucleon Structure Functions and their moments",
"url": "https://arxiv.org/abs/nucl-th/0510034"
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