Chiral Odd Structure Functions from a Chiral Soliton

Details Chiral Odd Structure Functions from a Chiral Soliton Chiral Odd Structure Functions from a Chiral Soliton

1998-01-21

arxiv.org/abs/hep-ph/9801379v4

Phys.Rev. D58 (1998) 054014

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages, 10 postscript figures, discussion on numerical results extended, to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.58.054014

We calculate the chiral odd quark distributions and the corresponding structure functions $h_T(x,Q^2)$ and $h_L(x,Q^2)$ within the Nambu-Jona-Lasinio chiral soliton model for the nucleon. The $Q^2$ evolution of the twist-2 contributions is performed according to the standard GLAP formalism while the twist-three piece, $\bar{h}_L(x)$, is evolved according to the large $N_C$ scheme. We carry out a comparison between the chiral odd structure functions of the proton and the neutron. At the low model scale ($Q_0^2$) we find that the leading twist effective quark distributions,$f_1^{(q)}(x,Q_0^2)$, $g_1^{(q)}(x,Q_0^2)$ and $h_T^{(q)}(x,Q_0^2)$ satisfy Soffer's inequality for both quark flavors $q=u,d$.

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