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Tanaka, Mitsuru*; Fujii, Daisuke; Kawaguchi, Mamiya*
Physical Review D, 112(5), p.054048_1 - 054048_18, 2025/09
Times Cited Count：3 Percentile：58.35(Astronomy & Astrophysics)We study the impact of the QCD scale anomaly on the gravitational form factors of the nucleon, focusing in particular on the 
form factor, the associated stress distribution, and internal force structure. Our analysis is based on a Skyrme model constructed within the framework of scale-invariant chiral perturbation theory. This model incorporates both the pion and a scalar meson, which represent the effects of the current quark mass and the gluonic quantum contributions to the scale anomaly, respectively. By varying the scalar meson mass, we investigate how the gluonic part of the scale anomaly affects the mechanical properties of the nucleon. We find that the gluonic contribution is essential for satisfying the stability conditions of the nucleon and generating the confining pressure. We also calculate the momentum-transfer dependence of , and the result shows good agreement with lattice QCD.
Fujii, Daisuke; Kawaguchi, Mamiya*; Tanaka, Mitsuru*
Physics Letters B, 866, p.139559_1 - 139559_7, 2025/07
Times Cited Count：10 Percentile：98.32(Astronomy & Astrophysics)We investigate the confining pressure inside the nucleon and the associated gravitational form factor, known as the D-term, within a skyrmion based on the scale-invariant chiral perturbation theory. In this approach, the effects of scale symmetry breaking are incorporated through the coupling of a scalar meson field to the scale anomaly, following the low-energy theorem. Utilizing the decomposition of the nucleon's energy-momentum tensor, we clarify how the scale anomaly components contribute to the internal pressure. Our analysis reveals that the gluon-induced scale anomaly predominantly governs the confining pressure. Compared to the result in the chiral limit of conventional chiral perturbation theory, this approach yields a total pressure profile more consistent with lattice QCD data. Furthermore, the pressure due to the gluonic anomaly extends over a wide spatial region, leading to a significant contribution to the D-term.
Joho Kagaku Gijutsu Kenkyu Shukai Happyo Rombunshu, 23, p.55 - 61, 1987/00
no abstracts in English
