Chiral Soliton Models and Nucleon Structure Functions

We outline and review the computations of polarized and unpolarized nucleon structure functions within the bosonized Nambu-Jona-Lasinio chiral soliton model. We focus on a consistent regularization prescription for the Dirac sea contribution and present numerical results from that formulation. We also reflect on previous calculations on quark distributions in chiral quark soliton models and attempt to put them into perspective.

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NUCLEON STRUCTURE FUNCTIONS FROM A CHIRAL SOLITON IN THE INFINITE MOMENTUM FRAME

International Journal of Modern Physics A ◽

10.1142/s0217751x98002511 ◽

1998 ◽

Vol 13 (32) ◽

pp. 5519-5534 ◽

Cited By ~ 11

Author(s):

L. GAMBERG ◽

H. REINHARDT ◽

H. WEIGEL

Keyword(s):

Valence Quark ◽

Structure Functions ◽

Nucleon Structure ◽

Translational Invariance ◽

Soliton Model ◽

Lorentz Contraction ◽

Collective Coordinates ◽

Chiral Soliton ◽

Chiral Soliton Model ◽

Frame Dependence

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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Polarized nucleon structure functions within a chiral soliton model

Physical Review D ◽

10.1103/physrevd.55.6910 ◽

1997 ◽

Vol 55 (11) ◽

pp. 6910-6923 ◽

Cited By ~ 44

Author(s):

H. Weigel ◽

L. Gamberg ◽

H. Reinhardt

Keyword(s):

Structure Functions ◽

Nucleon Structure ◽

Soliton Model ◽

Chiral Soliton ◽

Chiral Soliton Model

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Nucleon structure functions in a chiral soliton model

Nuclear Physics A ◽

10.1016/s0375-9474(00)00077-4 ◽

2000 ◽

Vol 670 (1-4) ◽

pp. 92-95 ◽

Cited By ~ 2

Author(s):

Herbert Weigel

Keyword(s):

Structure Functions ◽

Nucleon Structure ◽

Soliton Model ◽

Chiral Soliton ◽

Chiral Soliton Model

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The NN interaction and baryon structures

Canadian Journal of Physics ◽

10.1139/p89-198 ◽

1989 ◽

Vol 67 (12) ◽

pp. 1182-1185

Author(s):

M. Harvey

Keyword(s):

Soliton Model ◽

Chiral Soliton ◽

Early Results ◽

Chiral Soliton Model ◽

Mean Fields ◽

Dirac Sea

A brief review is given of the author's research, with collaborators, on the nontopological chiral soliton model with interpretation in terms of the Nambu–Jona-Lasinio model and restrictions determined using the Dyakanov–Petrov ansatz. A discussion of early results on the effects of polarization of the Dirac sea with profile functions for mean fields is recorded.

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UNPOLARIZED NUCLEON STRUCTURE FUNCTIONS IN THE NAMBU-JONA-LASINIO CHIRAL SOLITON MODEL

Modern Physics Letters A ◽

10.1142/s021773239600299x ◽

1996 ◽

Vol 11 (38) ◽

pp. 3021-3034 ◽

Cited By ~ 33

Author(s):

H. WEIGEL ◽

L. GAMBERG ◽

H. REINHARDT

Keyword(s):

Constituent Quark ◽

Valence Quark ◽

Parton Model ◽

Structure Functions ◽

Nucleon Structure ◽

Quark Masses ◽

Model Interpretation ◽

Chiral Soliton ◽

Quark Level ◽

Chiral Soliton Model

We study nucleon structure functions within the bosonized Nambu-Jona-Lasinio model where the nucleon emerges as a chiral soliton. As examples we present the unpolarized structure functions for the νp and [Formula: see text] scattering and discuss the Gottfried sum rule in the valence quark approximation. This approximation is justified for moderate constituent quark masses (~ 400 MeV) as the valence quark level dominates the predictions of nucleon properties. We find that these structure functions are well localized in the interval 0≤x Bj ≤1 permitting a parton model interpretation.

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Power counting in 1/Nc in the chiral soliton model

Canadian Journal of Physics ◽

10.1139/p86-001 ◽

1986 ◽

Vol 64 (1) ◽

pp. 1-6 ◽

Cited By ~ 3

Author(s):

Johan Bunens ◽

Hidenori Sonoda ◽

Mark B. Wise

Keyword(s):

Semiclassical Approximation ◽

Structure Functions ◽

Power Counting ◽

Explicit Computation ◽

Soliton Model ◽

Chiral Soliton ◽

Large N ◽

Chiral Soliton Model

In the large Nc limit, the SU(3) flavor representations for the baryons are large. Naively this suggests that predictions for properties of hyperons and nucleons based on the semiclassical approximation in the chiral soliton model get corrections suppressed by only [Formula: see text]. In this paper it is shown by explicit computation that these corrections are actually suppressed by 1/Nc. We also predict relations between the structure functions of the proton that are valid in the large Nc limit.

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