The NN interaction and baryon structures

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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Chiral Soliton Models and Nucleon Structure Functions

Symmetry ◽

10.3390/sym13010108 ◽

2021 ◽

Vol 13 (1) ◽

pp. 108

Author(s):

Herbert Weigel ◽

Ishmael Takyi

Keyword(s):

Structure Functions ◽

Numerical Results ◽

Nucleon Structure ◽

Soliton Model ◽

Chiral Soliton ◽

Chiral Soliton Model ◽

Dirac Sea

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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