Chiral odd structure functions from a chiral soliton

Leonard Gamberg, H. Reinhardt, H. Weigel

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish (US)
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume58
Issue number5
StatePublished - Sep 1 1998

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solitary waves
quarks
scale models
formalism
neutrons
protons

All Science Journal Classification (ASJC) codes

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

Cite this

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title = "Chiral odd structure functions from a chiral soliton",
abstract = "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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Chiral odd structure functions from a chiral soliton. / Gamberg, Leonard; Reinhardt, H.; Weigel, H.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 58, No. 5, 01.09.1998.

Research output: Contribution to journalArticle

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AU - Reinhardt, H.

AU - Weigel, H.

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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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