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Nucleon Mass Sum Rule Violation in QCD and Confinement

2018/04/19 by Gouranga C Nayak, Nayak, Gouranga C
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.48550/arxiv.1804.07211

8 pages latex

arxiv created 2018/04/19 · arxiv updated 2018/04/23

Abstract

In this paper we show that for a nucleon at rest if the quarks and/or antiquarks are in motion inside the nucleon producing chromo-magnetic field then the mass sum rule in QCD is violated when the confinement potential energy at large distance r rises linearly with r (or faster). Hence we find that the mass of the nucleon at rest is not equal to the mass-energy of all the quarks plus antiquarks plus gluons inside the nucleon if there exists chromo-magnetic field inside the nucleon and the confinement potential energy at large distance r rises linearly with r (or faster).

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