Axial-vector Current and General Unpolarized Electroweak Single-nucleon Responses

Fuente: arXiv
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Main Authors: Donnelly, T. W., Jeschonnek, Sabine
Format: Preprint
Published: 2026
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author Donnelly, T. W.
Jeschonnek, Sabine
author_facet Donnelly, T. W.
Jeschonnek, Sabine
contents The present study provides an extension to our recent work on the vector (V) electromagnetic single-nucleon current and associated response functions, both for unpolarized situations and in situations where the target nucleon is polarized. Here the axial-vector (A) single-nucleon current matrix element is developed in detail and the full set of vector and axial-vector currents used to obtain the electroweak VV, AA and VA response functions. Only the unpolarized case is studied in the present work. The general forms for all of these elements are developed together with various approximation schemes in which numerical studies are provided to indicate where these approximations may be expected to be valid. The results of this work provide the basis for a deeper understanding of the roles played by the various single-nucleon form factors in weak interaction reactions on free nucleons and when using the standard ``prescription for nuclear physics'' in reactions involving nucleons in nuclei.
format Preprint
id arxiv_https___arxiv_org_abs_2605_05418
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Axial-vector Current and General Unpolarized Electroweak Single-nucleon Responses
Donnelly, T. W.
Jeschonnek, Sabine
Nuclear Theory
The present study provides an extension to our recent work on the vector (V) electromagnetic single-nucleon current and associated response functions, both for unpolarized situations and in situations where the target nucleon is polarized. Here the axial-vector (A) single-nucleon current matrix element is developed in detail and the full set of vector and axial-vector currents used to obtain the electroweak VV, AA and VA response functions. Only the unpolarized case is studied in the present work. The general forms for all of these elements are developed together with various approximation schemes in which numerical studies are provided to indicate where these approximations may be expected to be valid. The results of this work provide the basis for a deeper understanding of the roles played by the various single-nucleon form factors in weak interaction reactions on free nucleons and when using the standard ``prescription for nuclear physics'' in reactions involving nucleons in nuclei.
title Axial-vector Current and General Unpolarized Electroweak Single-nucleon Responses
topic Nuclear Theory
url https://arxiv.org/abs/2605.05418