Soffer`s inequality

Journal Article · Wed Nov 01 00:00:00 EST 1995 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.52.5006· OSTI ID:124266

Goldstein, G R ^[1]; Jaffe, R L; Ji, X ^[2]

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1. Department of Physics, Tufts University, Medford, Massachusetts 02155 (United States)
2. Center for Theoretical Physics, Laboratory for Nuclear Science Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

Various issues surrounding a recently proposed inequality among twist-two quark distributions in the nucleon are discussed. We provide a rigorous derivation of the inequality in QCD, including radiative corrections and scale dependence. We also give a more heuristic, but more physical derivation, from which we show that a similar inequality does not exist among twist-three quark distributions. We demonstrate that the inequality does not constrain the nucleon`s tensor charge. Finally we explore physical mechanisms for saturating the inequality, arguing it is unlikely to occur in nature.

• DOE Contract Number: FC02-94ER40818; FG02-92ER40702
• OSTI ID: 124266
• Journal Information: Physical Review, D, Vol. 52, Issue 9; Other Information: PBD: 1 Nov 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
NUCLEONS
QUARKS
DISTRIBUTION
QUANTUM CHROMODYNAMICS
RADIATIVE CORRECTIONS
TENSORS
CHARGES