Estimating the small-x exponent of the nonsinglet structure function g1 from the Bjorken Sum Rule

Abstract

We present a new estimate of the exponent governing the small-x behaviour of the nonsinglet structure function g_1(p-n) derived under the assumption that the Bjorken Sum Rule is valid. We use the world wide average of alpha_s and the NNNLO QCD corrections to the Bjorken Sum Rule. The structure function g_1(NS) is found to be clearly divergent for small x.

10 pages, some typos corrected

References in corpus (2)

• QCD Analysis of Polarized Deep Inelastic Data and Parton Distributions
• A lattice calculation of the nucleon's spin-dependent structure function g_2 revisited

Cited by in corpus (3)

• Quark helicity distributions in the nucleon for up, down, and strange quarks from semi--inclusive deep--inelastic scattering
• From Useful Algorithms for Slowly Convergent Series to Physical Predictions Based on Divergent Perturbative Expansions
• Small-x behavior of non-singlet spin structure function and Bjorken sum rule with pQCD correction up to NNLO and Higher twist correction