### 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 |

State | 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).

}

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 58, no. 5.

**Chiral odd structure functions from a chiral soliton.** / Gamberg, Leonard; Reinhardt, H.; Weigel, H.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Chiral odd structure functions from a chiral soliton

AU - Gamberg, Leonard

AU - Reinhardt, H.

AU - Weigel, H.

PY - 1998/9/1

Y1 - 1998/9/1

N2 - We calculate the chiral odd quark distributions and the corresponding structure functions hT(x,Q2) and hL(x,Q2) within the Nambu-Jona-Lasinio chiral soliton model for the nucleon. The Q2 evolution of the twist-2 contributions is performed according to the standard GLAP formalism while the twist-3 piece h̄L,(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 (Q20) we find that the leading twist effective quark distributions f(q)1(x,Q20), g(q)1(x,Q20) and h(q)T(x,Q20) satisfy Softer's inequality for both quark flavors q = u,d.

AB - We calculate the chiral odd quark distributions and the corresponding structure functions hT(x,Q2) and hL(x,Q2) within the Nambu-Jona-Lasinio chiral soliton model for the nucleon. The Q2 evolution of the twist-2 contributions is performed according to the standard GLAP formalism while the twist-3 piece h̄L,(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 (Q20) we find that the leading twist effective quark distributions f(q)1(x,Q20), g(q)1(x,Q20) and h(q)T(x,Q20) satisfy Softer's inequality for both quark flavors q = u,d.

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M3 - Article

AN - SCOPUS:0542418864

VL - 58

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 5

ER -