Bag Model Prediction for the Nucleon's Chiral-odd Twist-3 Distribution h_L(x,Q^2) at High Q^2

Abstract

We study the Q^2 evolution of the nucleon's chiral-odd twist-3 distribution h_L(x,Q^2) starting from the MIT bag model calculation. A simple GLAP equation for h_L(x,Q^2) obtained at large N_c is used for the Q^2 evolution. The correction due to the finite value of N_c is O(1/N_c^2)\sim 10% level. It turns out that the twist-3 contribution to h_L(x,Q^2) is significantly reduced at Q^2=10 GeV^2 in contrast to the g_2(x,Q^2) case. This is due to the fact that the corresponding anomalous dimension for h_L is larger than that for g_2 at small n (spin).

18 pages, LaTex, including 9 eps figures, uses epsf.sty

Cited by in corpus (11)

• Polarized Structure Functions in QCD
• On the twist-3 contribution to h_L in the instanton vacuum
• Polarized Structure Functions g_2 (x) in the Chiral Quark Soliton Model
• Investigation of single spin asymmetries in pi^{+} electroproduction
• Chiral Odd Structure Functions from a Chiral Soliton
• Chiral-odd distribution functions in the chiral quark soliton model
• Drell-Yan double-spin asymmetry A_{LT} in polarized p\bar{p} collisions: Wandzura-Wilczek contribution
• A_{LT} in the polarized Drell-Yan process at RHIC and HERA energies
• Leading-order analysis of the twist-3 space- and time-like cut vertices in QCD
• A_{LT} in the Nucleon-Nucleon Polarized Drell-Yan Process
• Twist-3 effects in polarized Drell-Yan and semi-inclusive DIS