Chiral Odd Structure Functions from a Chiral Soliton

We calculate the chiral odd quark distributions and the corresponding structure functions hT (x,Q ) and hL(x,Q ) within the Nambu–Jona–Lasinio chiral soliton model for the nucleon. The Q evolution of the twist–2 contributions is performed according to the standard GLAP formalism while the twist–three piece, hL(x), is evolved according to the large NC scheme. We carry out a comparison between the chiral odd structure functions of the proton and the neutron. At the low model scale (Q0) we find that the leading twist effective quark distributions, f (q) 1 (x,Q 2 0), g (q) 1 (x,Q 2 0) and h (q) T (x,Q 2 0) satisfy Soffer’s inequality for both quark flavors q = u, d. PACS: 11.30.Cp, 12.39.Ki. To be published in: Phys. Rev. D.