Nucleon structure functions from a chiral soliton in the infinite momentum frame

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We study the frame dependence of nucleon structure functions obtained within a chiral soliton model for the nucleon. Employing light cone coordinates and introducing collective coordinates together with their conjugate momenta, translational invariance of the solitonic quark fields (which describe the nucleon as a localized object) is restored. This formulation allows us to perform a Lorentz boost to the infinite momentum frame of the nucleon. The major result is that the Lorentz contraction associated with this boost causes the leading twist contribution to the structure functions to properly vanish when the Bjorken variable x exceeds unity. Furthermore we demonstrate that for structure functions calculated in the valence quark approximation to the Nambu-Jona-Lasinio chiral soliton model the Lorentz contraction also has significant effects on the structure functions for moderate values of the Bjorken variable x.

Original languageEnglish (US)
Pages (from-to)5519-5534
Number of pages16
JournalInternational Journal of Modern Physics A
Volume13
Issue number32
DOIs
StatePublished - Jan 1 1998

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solitary waves
Lorentz contraction
momentum
acceleration (physics)
quarks
unity
invariance
cones
valence
formulations
causes
approximation

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

Cite this

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title = "Nucleon structure functions from a chiral soliton in the infinite momentum frame",
abstract = "We study the frame dependence of nucleon structure functions obtained within a chiral soliton model for the nucleon. Employing light cone coordinates and introducing collective coordinates together with their conjugate momenta, translational invariance of the solitonic quark fields (which describe the nucleon as a localized object) is restored. This formulation allows us to perform a Lorentz boost to the infinite momentum frame of the nucleon. The major result is that the Lorentz contraction associated with this boost causes the leading twist contribution to the structure functions to properly vanish when the Bjorken variable x exceeds unity. Furthermore we demonstrate that for structure functions calculated in the valence quark approximation to the Nambu-Jona-Lasinio chiral soliton model the Lorentz contraction also has significant effects on the structure functions for moderate values of the Bjorken variable x.",
author = "L. Gamberg",
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Nucleon structure functions from a chiral soliton in the infinite momentum frame. / Gamberg, L.

In: International Journal of Modern Physics A, Vol. 13, No. 32, 01.01.1998, p. 5519-5534.

Research output: Contribution to journalArticle

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T1 - Nucleon structure functions from a chiral soliton in the infinite momentum frame

AU - Gamberg, L.

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AB - We study the frame dependence of nucleon structure functions obtained within a chiral soliton model for the nucleon. Employing light cone coordinates and introducing collective coordinates together with their conjugate momenta, translational invariance of the solitonic quark fields (which describe the nucleon as a localized object) is restored. This formulation allows us to perform a Lorentz boost to the infinite momentum frame of the nucleon. The major result is that the Lorentz contraction associated with this boost causes the leading twist contribution to the structure functions to properly vanish when the Bjorken variable x exceeds unity. Furthermore we demonstrate that for structure functions calculated in the valence quark approximation to the Nambu-Jona-Lasinio chiral soliton model the Lorentz contraction also has significant effects on the structure functions for moderate values of the Bjorken variable x.

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