Solitons in the Nambu-Jona-Lasinio model with vector and axial mesons

Döring, F.; Arriola, E. Ruiz; Goeke, K.

doi:10.1007/bf01291700

Cited by 11 publications

(6 citation statements)

References 57 publications

(58 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the corresponding self-consistent soliton the valence quark is strongly bound and the baryon number is actually carried by the polarized vacuum, i.e. η val = 0 [209,210]. This feature has been taken as a strong support for Witten's conjecture [50] that in effective meson theories the baryon number current is identical to the topological current, B µ , defined in eq (2.9).…”

Section: 1mentioning

confidence: 91%

Baryons as Three-Flavor Solitons

Weigel

1996

Int. J. Mod. Phys. A

139

View full text Add to dashboard Cite

The description of baryons as soliton solutions of effective meson theories for three flavor (up, down, strange) degrees of freedom is reviewed and the phenomenological implications are illuminated. In the collective approach the soliton configuration is equipped with baryon quantum numbers by canonical quantization of the coordinates describing the flavor orientation. The baryon spectrum resulting from exact diagonalization of the collective Hamiltonian is discussed. The prediction of static properties such as the baryon magnetic moments and the Cabibbo matrix elements for semi-leptonic hyperon decays are explored with regard to the influence of flavor symmetry breaking. In particular, the role of strange degrees of freedom in the nucleon is investigated for both the vector and axial-vector current matrix elements. The latter are discussed extensively within in the context of the proton spin puzzle. The influence of flavor symmetry breaking on the shape of the soliton is examined and observed to cause significant deviations from flavor covariant predictions on the baryon magnetic moments. Short range effects are incorporated by a chiral invariant inclusion of vector meson fields. These extensions are necessary to properly describe the singlet axial-vector current and the neutron proton mass difference. The effects of the vector meson excitations on baryon properties are also considered. The bound state description of hyperons and its generalization to baryons containing a heavy quark are illustrated. In the case of the Skyrme model a comparison is performed between the collective quantization scheme and bound state approach. Finally, the Nambu-Jona-Lasinio model is employed to demonstrate that hyperons can be described as solitons in a microscopic theory of the quark flavor dynamics. This is explained for both the collective and the bound state approaches to strangeness.2

show abstract

Section: 1mentioning

confidence: 91%

Baryons as Three-Flavor Solitons

Weigel

1996

Int. J. Mod. Phys. A

139

View full text Add to dashboard Cite

show abstract

“…Self{consistent solutions were found for m 300MeV [92,93]. From the equation of motion for H(r) (cf.…”

Section: 22mentioning

confidence: 99%

Baryons as chiral solitons in the Nambu-Jona-Lasinio model

1996

View full text Add to dashboard Cite

The self-consistent chiral soliton of the Nambu-Jona-Lasinio model including the ω, ρ and a 1 (axial-) vector meson fields besides the chiral angle is investigated. The resulting energy spectrum of the one particle Dirac Hamiltonian is strongly distorted leading to a polarized Dirac sea which carries the complete baryon number. This supports Witten's conjecture that baryons can be described as topological solitons. The exploration of the isoscalar mean squared radius of the nucleon exhibits that the repulsive character of the isoscalar vector field ω as well as the attractive features of the (axial-) vector mesons ρ and a 1 are reproduced in the Nambu-Jona-Lasinio model. The axial charge of the nucleon g A comes out far too small. This can be understood as an artifact of the proper time regularization prescription. † Supported by the Deutsche Forschungsgemeinschaft (DFG) under contract Re 856/2-1. 1

show abstract

“…In fact, several theoretical and numerical investigations have been performed to clarify the role of ρ, ω and A 1 mesons in the solitonic sector , Döring et al, 1992b, 1993, Schüren et al, 1992, 1993, Zückert et al, 1994, Weigel et al, 1995. Unfortunately, no clear conclusion on the formalism and on the effects of the vector mesons on the nucleon observables has been obtained and none of the above approaches is beyond criticism.…”

Section: Nucleon As a Non-topological Soliton In Su(2) Njl Modelmentioning

confidence: 99%

Baryons as non-topological chiral solitons

Christov

Blotz

Kim

et al. 1996

Progress in Particle and Nuclear Physics

Self Cite

323

233

View full text Add to dashboard Cite

The present review gives a survey of recent developments and applications of the NambuJona-Lasinio model with N f = 2 and N f = 3 quark flavors for the structure of baryons. The model is an effective chiral quark theory which incorporates the SU(N f ) L ⊗SU(N f ) R ⊗U(1) V approximate symmetry of Quantum chromodynamics. The approach describes the spontaneous chiral symmetry breaking and dynamical quark mass generation. Mesons appear as quarkantiquark excitations and baryons arise as non-topological solitons with three valence quarks and a polarized Dirac sea. For the evaluation of the baryon properties the present review concentrates on the non-linear Nambu-Jona-Lasinio model with quark and Goldstone degrees of freedom which is identical to the Chiral quark soliton model obtained from the instanton liquid model of the QCD vacuum. In this non-linear model, a wide variety of observables of baryons of the octet and decuplet is considered. These include, in particular, electromagnetic, axial, pseudoscalar and pion nucleon form factors and the related static properties like magnetic moments, radii and coupling constants of the nucleon as well as the mass splittings and electromagnetic form factors of hyperons. Predictions are given for the strange form factors, the scalar form factor and the tensor charge of the nucleon."Though this be madness, yet there is method in it."Shakespeare, Hamlet, II-2 --

show abstract

Solitons in the Nambu-Jona-Lasinio model with vector and axial mesons

Cited by 11 publications

References 57 publications

Baryons as Three-Flavor Solitons

Baryons as Three-Flavor Solitons

Baryons as chiral solitons in the Nambu-Jona-Lasinio model

Baryons as non-topological chiral solitons

Contact Info

Product

Resources

About