The Nambu-Jona-Lasinio Chiral Soliton with Constrained Baryon Number

Abstract

A regularization for the baryon number consistent with the energy in the Nambu-Jona-Lasinio model is introduced. The soliton solution is constructed with the regularized baryon number constrained to unity. It is furthermore demonstrated that this constraint prevents the soliton from collapsing when scalar fields are allowed to be space dependent. In this scheme the scalar fields actually vanish at the origin reflecting a partial restoration of chiral symmetry. Also the influence of this constraint on some static properties of baryons is discussed.

10 LaTeX pages 4 figures, report no UNITU-THEP-7/1993

References in corpus (1)

• The Chiral Soliton of the Nambu Jona-Lasinio Model with Vector and Axial Vector Mesons

Cited by in corpus (7)

• Baryons as Chiral Solitons in the Nambu--Jona-Lasinio Model
• Solitons in a chiral quark model with non-local interactions
• Axial Properties of the Nucleon with $1/N_c$-Corrections in the solitonic SU(3)-NJL-Model
• Elimination of the Landau Ghost from Chiral Solitons
• On the analytic properties of chiral solitons in the presence of the $\omega$--meson
• RPA-Approach to the Excitations of the Nucleon, Part II: Phenomenology
• Soliton formation in the Nambu-Jona-Lasinio model