The chirally-odd twist-3 distribution e a (x)

2002/12/31 by A. V. Efremov, Anatoli Vasilievich Efremov, P. Schweitzer · 2 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Distribution (mathematics) #Distribution function #Function (biology) #Geometry #High-Energy Particle Collisions Research #Mathematical analysis #Mathematical physics #Mathematics #Moment (physics) #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Sigma #Structure function #Twist #hep-ph

paper · pdf · doi:10.1088/1126-6708/2003/08/006

published as JHEP 0308:006,2003 · 19 pages, 3 figures, new references and figures added

openalex publication_date 2003/08/04 · arxiv created 2003/08/25 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Properties of the nucleon twist-3 distribution function e(x) are reviewed. It is emphasized that the QCD equations of motion imply the existence of a delta-function at x=0 in e(x), which gives rise to the pion-nucleon sigma-term. According to the resulting ``practical'' DIS sum rules the first and the second moment of e(x) vanish, a situation analogue to that of the pure twist-3 distribution function g₂(x).

Citations

• Leading-order analysis of the twist-3 space- and time-like cut vertices in QCD
• QCD Analysis of the Mass Structure of the Nucleon
• Fragmentation of transversely polarized quarks probed in transverse momentum distributions
• Gluon and quark distributions in large Nc QCD: theory versus phenomenology
• Q2evolution of chiral-odd twist-3 distributione(x,Q2)
• Evidence for a Single-Spin Azimuthal Asymmetry in Semi-inclusive Pion Electroproduction

Cited by

• Understanding the Valence Quark Structure of the Pion through GTMDs
• Twist three distribution e(x): Sum rules and equation of motion relations