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In the quantum chromodynamics, the mass source of the proton is decomposed into four parts by the energy momentum tensor : quark energy term, gluon energy term, quark mass term and trace anomaly term. And the trace anomaly term is the most…

High Energy Physics - Phenomenology · Physics 2023-02-22 Chen Dong , Jiyuan Zhang , Jingxuan Bu , Huifang Zhou , Xiao-Yun Wang

Low-energy scattering processes of vector meson and nucleon are an important window for studying non-perturbative QCD. The interaction of vector meson with nucleon, vector meson-nucleon scattering length $|\alpha_{VN}|$, is an important…

High Energy Physics - Phenomenology · Physics 2023-06-14 Chengdong Han , Wei Kou , Rong Wang , Xurong Chen

We give a pedagogical introduction to the origin of the mass of the nucleon. We first review the trace anomaly of the energy-momentum tensor, which generates most of the nucleon mass via the gluon fields and thus contributes even in the…

High Energy Physics - Phenomenology · Physics 2025-11-24 Martin Hoferichter , Jacobo Ruiz de Elvira

{}From the deep-inelastic momentum sum rule and the trace anomaly of the energy-momentum tensor, I derive a separation of the nucleon mass into the contributions of the quark and gluon kinetic and potential energies, the quark masses, and…

High Energy Physics - Phenomenology · Physics 2009-10-28 Xiangdong Ji

The trace anomalous energy contribution to the proton mass is a very important topic in non-perturbative QCD and hadron physics. In experiments, it is under the hot discussions on how to measure the trace anomalous energy.The QCD…

High Energy Physics - Phenomenology · Physics 2022-09-07 Wei Kou , Rong Wang , Xurong Chen

The trace of the stress tensor characterizes the transformation of a theory under rescaling. In quantum chromodynamics (QCD), this trace contains contributions from the bare masses of the quarks and also from a purely quantum effect, called…

High Energy Physics - Phenomenology · Physics 2020-06-18 Rong Wang , Xurong Chen , Jarah Evslin

Quantum chromodynamics (QCD) claims that the major source of the nucleon invariant mass is not the Higgs mechanism but the trace anomaly in QCD energy momentum tensor. Although experimental and theoretical results support such conclusion, a…

High Energy Physics - Lattice · Physics 2021-10-13 Fangcheng He , Peng Sun , Yi-Bo Yang

We explore the roles of the trace anomaly in several hadron properties. We derive the scale invariant expression for the pressure from the gravitational form factors (GFF) of QCD which results in consistent results for the mass and rest…

High Energy Physics - Phenomenology · Physics 2023-12-22 Keh-Fei Liu

Elastic scattering of neutrinos and antineutrinos on nucleons is considered. It is shown that the measurement of the neutrino-antineutrino asymmetry would allow to obtain model independent informations on the strange axial and vector form…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. M. Alberico , S. M. Bilenky , C. Giunti , C. Maieron

I discuss the scope and naturalness of the proton mass decomposition (or sum rule) published in PRL74, 1071 (1995) and answer a few criticisms that appeared recently in the literature, focusing particularly on its interpretation and the…

High Energy Physics - Phenomenology · Physics 2021-03-09 Xiangdong Ji

We discuss an interpretation that a peak in the sound velocity in neutron star matter, as suggested by the observational data, signifies strongly-coupled conformal matter. The normalized trace anomaly is a dimensionless measure of…

Nuclear Theory · Physics 2022-12-28 Yuki Fujimoto , Kenji Fukushima , Larry D. McLerran , Michal Praszalowicz

The trace anomaly of dense matter, $\Delta \equiv 1/3 - P/\varepsilon$, defined through the ratio $w \equiv P/\varepsilon$ of pressure $P$ to energy density $\varepsilon$, quantifies deviations from conformal symmetry and provides a…

Nuclear Theory · Physics 2026-05-18 Bao-An Li

The electroweak form factors of the nucleon as obtained within a three flavor pseudoscalar vector meson soliton model are employed to predict the ratio of the proton and neutron yields from $^{12}C$, which are induced by quasi-elastic…

Nuclear Theory · Physics 2009-10-30 E. Kolbe , S. Krewald , H. Weigel

The neutron-proton mass difference in finite nuclei is studied in the framework of a medium-modified Skyrme model. The possible interplay between the effective nucleon mass in finite nuclei and the Nolen-Schiffer anomaly is discussed. In…

Nuclear Theory · Physics 2008-11-26 Ulf-G. Meißner , A. M. Rakhimov , A. Wirzba , U. T. Yakhshiev

A remarkably successful program of parity-violating electron scattering experiments is providing new insight into the structure of the nucleon. Measurement of the vector form factors enables a definitive study of potential strange…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. D. McKeown , M. J. Ramsey-Musolf

We discuss two descriptions of the nucleon's strange vector form factors in the framework of vector meson dominance. The first, an updated and extended version of Jaffe's dispersion analysis, approximates the spectral functions of the form…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hilmar Forkel

One of the important features of nuclear forces is their strong repulsive nature at short ($\le 0.5-0.6$~Fm) distances which prevents atomic nuclei from collapsing, thus guarantying the stability for the visible matter. However the…

Nuclear Theory · Physics 2025-04-10 Misak M Sargsian

We compute trace anomaly contribution to hydrogen atom mass, which turns out to be related to the part of the Lamb shift. This finding might shed new light on our understandings of the mass structure of QCD bound states, such as, proton.

High Energy Physics - Phenomenology · Physics 2021-09-15 Bao-dong Sun , Ze-hao Sun , Jian Zhou

The properties of the nucleons in nuclear medium have been investigated in the context of the flux tube model incorporating strangeness $(s\bar{s})$ contribution to proton structure in conformity with the experimental indication. Proton is…

High Energy Physics - Phenomenology · Physics 2013-02-25 A. Chandar , A Bhattacharya , B. Chakrabarti

We calculate the nucleon contribution to the electromagnetic vertex of a neutrino in a background of particles, including the effect of the anomalous magnetic moment of the nucleons. Explicit formulas for the form factors are given in…

High Energy Physics - Phenomenology · Physics 2009-10-30 Juan Carlos D'Olivo , Jose F. Nieves
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