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Baryons as non-topological chiral solitons
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abstract
The present review gives a survey of recent developments and applications of the Nambu--Jona-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$_f$)$_L\otimes$SU(N$_f$)$_R\otimes$U(1)$_V$ approximate symmetry of Quantum chromodynamics. The approach describes the spontaneous chiral symmetry breaking and dynamical quark mass generation. Mesons appear as quark-antiquark 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.
Forward citations
Cited by 6 Pith papers
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Heavy mesons from the QCD instanton vacuum beyond the static limit
Computes f_B, residual mass Λ, kinetic matrix element λ1, and Isgur-Wise slope in instanton vacuum with finite-mass heavy-light vertex calibrated to B data.
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Chiral-odd generalized parton distributions in the large-$N_{c}$ limit of QCD: Spin-flavor structure, polynomiality, sum rules
In the large-Nc limit of QCD, the flavor-nonsinglet chiral-odd GPDs E_T and tilde H_T are predicted to obey 2 tilde H_T^{u-d} = -E_T^{u-d} at leading order, with four independent mean-field GPDs including a previously...
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Electromagnetic form factors of the nucleon from the instanton vacuum
Nucleon EM form factors computed in instanton vacuum model with parameters fixed by saddle-point equation yield proton charge radius 0.841 fm matching muonic hydrogen and good agreement on Q2 dependence of ratios.
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Nucleon and singly heavy baryons from the QCD instanton vacuum
A chiral soliton model with a momentum-dependent quark mass from the instanton vacuum predicts Delta-N and Sigma_Q-Lambda_Q mass splittings of 214 and 206 MeV.
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Pentaquarks and Maxim V. Polyakov
A review argues that Diakonov-Petrov-Polyakov's narrow-width Theta+ pentaquark prediction remains viable, identifying N*(1685) as the antidecuplet partner and citing LEPS/DIANA data as support.
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Odyssey of the elusive $\Theta^+$
A review of the Theta+ pentaquark story concludes that the chiral soliton model's small-width prediction remains viable and new kaon-beam experiments may decide its existence.
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