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Mechanical structure of the nucleon and the baryon octet: Twist-2 case

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arxiv 2310.04670 v2 pith:PDH455JJ submitted 2023-10-07 hep-ph

Ho-Yeon Won , Hyun-Chul Kim , June-Young Kim This is my paper · ORCID
classification hep-ph
keywords contributionsformfactorsgffsnucleonoctetoperatorstwist-2
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate the gravitational form factors (GFFs) of the nucleon and the baryon octet, decomposed into their flavor components, utilizing a pion mean-field approach grounded in the large $N_c$ limit of Quantum Chromodynamics (QCD). Our focus is on the contributions from the twist-2 operators to the flavor-triplet and octet GFFs, and we decompose the mass, angular momentum, and $D$-term form factors of the nucleon into their respective flavors. The strange quark contributions are found to be relatively mild for the mass and angular momentum form factors, while providing significant corrections to the $D$-term form factor. In the course of examining the flavor decomposition of the GFFs, we uncover that the effects of twist-4 operators play a crucial role. While the gluonic contributions are suppressed by the packing fraction of the instanton vacuum in the twist-2 case, contributions from twist-4 operators are of order unity, necessitating its explicit consideration.

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Cited by 5 Pith papers

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  1. Transverse energy-momentum tensor distributions in polarized nucleons

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  3. Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory

    hep-ph 2025-07 conditional novelty 5.0 of 10

    A Skyrme model with a dilaton field attributes the proton's negative internal pressure and confining force to the gluonic scale anomaly, and reproduces the lattice QCD D(t) form factor.

  4. Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis

    hep-ph 2026-08 conditional novelty 4.0 of 10

    This paper critiques reducible-basis renormalization of the QCD trace anomaly, arguing it introduces unphysical scheme dependence and that the standard whole-anomaly decomposition is the only symmetry-allowed choice.

  5. Flavor decomposition of the gravitational form factors and mechanical structure of the proton

    hep-ph 2026-07 conditional novelty 2.0 of 10

    In the chiral quark-soliton model the up quark dominates proton mass and spin while the strange quark contributes sizably to the D-term, with twist-4 terms required for mechanical stability.

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