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

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

1997-03-14

arxiv.org/abs/hep-ph/9703324v1

Phys.Lett. B403 (1997) 357-363

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/S0370-2693(97)00524-8

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).

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