Sum Rules for the Spin-Dependent Structure Functions from the Current Algebra on the Null-Plane

Journal Article · Tue Aug 04 04:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3215650· OSTI ID:21316914

Koretune, Susumu ^[1]

---

1. Department of Physics, Shimane University, Matsue, Shimane, 690-8504 (Japan)

Spin dependent sum rules from the current algebra on the null-plane both from the current commutation and the current anti-commutation relations are given. By regularizing these sum rules, we explain that the Born term, resonances and the continuum are constrained severely by the sum rules. This fact explains why the sign change of the Gerasimov-Drell-Hearn (GDH) sum occurs in the very small Q{sup 2}. Further, combined with the regularized Burkhart and Cottingham(BC) sum rule, we find that g{sub 2}{sup ep} has a similar behavior as g{sub 1}{sup ep}. The method has been applied to the deuteron target.

• OSTI ID: 21316914
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1149; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
COMMUTATION RELATIONS
CURRENT ALGEBRA
DEEP INELASTIC SCATTERING
DEUTERIUM TARGET
FOUR MOMENTUM TRANSFER
PARTICLE STRUCTURE
POLARIZATION
SPIN
STRUCTURE FUNCTIONS
SUM RULES