Gravitational form factors of the nucleon and their mechanical structure: Twist-2 case

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Main Authors: Kim, Hyun-Chul, Kim, June-Young, Won, Ho-Yeon
Format: Preprint
Published: 2025
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author Kim, Hyun-Chul
Kim, June-Young
Won, Ho-Yeon
author_facet Kim, Hyun-Chul
Kim, June-Young
Won, Ho-Yeon
contents We present a series of recent works on the gravitational form factors (GFFs) of the nucleon within a pion mean-field approach, which is also called the chiral quark-soliton model. We investigate the flavor structure of the mass, angular momentum, and $D$-term form factors of the nucleon. The main findings of the present work are given as follows: the contribution of the strange quark is rather small for the mass and angular momentum form factors, it plays an essential role in the $D$-term form factors. It indicates that the $D$-term form factor is sensitive to the outer part of the nucleon. The flavor blindness, i.e, $D^{u-d}\simeq 0$, is valid only if the strange quark is considered. We also discuss the effects of twist-4 operators. Though the gluonic contributions are suppressed by the packing fraction of the instanton vacuum in the twist-2 case, contributions from twist-4 operators are significant.
format Preprint
id arxiv_https___arxiv_org_abs_2503_23008
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational form factors of the nucleon and their mechanical structure: Twist-2 case
Kim, Hyun-Chul
Kim, June-Young
Won, Ho-Yeon
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
We present a series of recent works on the gravitational form factors (GFFs) of the nucleon within a pion mean-field approach, which is also called the chiral quark-soliton model. We investigate the flavor structure of the mass, angular momentum, and $D$-term form factors of the nucleon. The main findings of the present work are given as follows: the contribution of the strange quark is rather small for the mass and angular momentum form factors, it plays an essential role in the $D$-term form factors. It indicates that the $D$-term form factor is sensitive to the outer part of the nucleon. The flavor blindness, i.e, $D^{u-d}\simeq 0$, is valid only if the strange quark is considered. We also discuss the effects of twist-4 operators. Though the gluonic contributions are suppressed by the packing fraction of the instanton vacuum in the twist-2 case, contributions from twist-4 operators are significant.
title Gravitational form factors of the nucleon and their mechanical structure: Twist-2 case
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
url https://arxiv.org/abs/2503.23008