Multipole structure of the nucleon tensor form factors

Fuente: arXiv
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Autores principales: Ghim, Nam-Yong, Won, Ho-Yeon, Kim, June-Young, Kim, Hyun-Chul
Formato: Preprint
Publicado: 2026
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author Ghim, Nam-Yong
Won, Ho-Yeon
Kim, June-Young
Kim, Hyun-Chul
author_facet Ghim, Nam-Yong
Won, Ho-Yeon
Kim, June-Young
Kim, Hyun-Chul
contents We investigate the multipole structure of the nucleon tensor form factors within the chiral quark-soliton model based on the $1/N_c$ expansion. Extending the previous leading-order analysis~\cite{Ghim:2025gqo}, we include the rotational $1/N_c$ corrections. These corrections provide the leading nonvanishing contributions to the flavor components that are absent at leading order, thereby completing the flavor decomposition of the tensor multipole form factors at the present order. We numerically evaluate the isoscalar tensor charge, the isovector anomalous tensor magnetic moment, and the isoscalar tensor quadrupole moment, obtaining $g_T^{u+d}=0.81$, $κ_T^{u-d}=1.97$, and $E_T^{u+d}(0)=5.98$, respectively. The isoscalar tensor charge and quadrupole moment are mainly governed by the valence-quark contribution, whereas the isovector anomalous tensor magnetic moment receives a sizable Dirac-sea contribution. We also examine the momentum-transfer dependence of the corresponding form factors. They decrease monotonically with increasing $-t$. In particular, the isovector anomalous tensor magnetic form factor shows a pronounced falloff in the small-$|t|$ region, reflecting the importance of the Dirac sea in the tensor dipole structure.
format Preprint
id arxiv_https___arxiv_org_abs_2605_24435
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Multipole structure of the nucleon tensor form factors
Ghim, Nam-Yong
Won, Ho-Yeon
Kim, June-Young
Kim, Hyun-Chul
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
We investigate the multipole structure of the nucleon tensor form factors within the chiral quark-soliton model based on the $1/N_c$ expansion. Extending the previous leading-order analysis~\cite{Ghim:2025gqo}, we include the rotational $1/N_c$ corrections. These corrections provide the leading nonvanishing contributions to the flavor components that are absent at leading order, thereby completing the flavor decomposition of the tensor multipole form factors at the present order. We numerically evaluate the isoscalar tensor charge, the isovector anomalous tensor magnetic moment, and the isoscalar tensor quadrupole moment, obtaining $g_T^{u+d}=0.81$, $κ_T^{u-d}=1.97$, and $E_T^{u+d}(0)=5.98$, respectively. The isoscalar tensor charge and quadrupole moment are mainly governed by the valence-quark contribution, whereas the isovector anomalous tensor magnetic moment receives a sizable Dirac-sea contribution. We also examine the momentum-transfer dependence of the corresponding form factors. They decrease monotonically with increasing $-t$. In particular, the isovector anomalous tensor magnetic form factor shows a pronounced falloff in the small-$|t|$ region, reflecting the importance of the Dirac sea in the tensor dipole structure.
title Multipole structure of the nucleon tensor form factors
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
url https://arxiv.org/abs/2605.24435