### Abstract

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-3 piece h̄_{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^{2}_{0}) 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 Softer's inequality for both quark flavors q = u,d.

Original language | English (US) |
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Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 58 |

Issue number | 5 |

Publication status | Published - Sep 1 1998 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*58*(5).