E. Ruiz Arriola

Baryons as non-topological chiral solitons

Abstract The present review gives a survey of recent developments and applications of the Nambu-Jona-Lasinio model with Nf = 2 and Nf = 3 quark flavors for the structure of baryons. The model is an effective chiral quark theory which incorporates the SU(Nf)L⊗SU(Nf)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 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.

Couplings in coupled channels versus wave functions: application to the X(3872) resonance

This work is partly supported by DGI and FEDER funds, under contract FIS2006-03438, FIS2008-01143/FIS and PIE-CSIC 200850I238 and the Junta de Andalucia grant no. FQM225-05. We acknowledge the support of the European Community-Research Infrastructure Integrating Activity ”Study of Strongly Interacting Matter” (acronym HadronPhysics2, Grant Agreement n. 227431) under the Seventh Framework Programme of EU. Work supported in part by DFG (SFB/TR 16, ”Subnuclear Structure of Matter”).

S = -1 meson baryon unitarized coupled channel chiral perturbation theory and the S(01) Lambda(1405) and Lambda(1670) resonances

The

Polyakov loop in chiral quark models at finite temperature

s-

Bethe-Salpeter approach for unitarized chiral perturbation theory

wave meson-baryon scattering is analyzed for the strangeness

S-11-N(1535) and -N(1650) resonances in meson-baryon unitarized coupled channel chiral perturbation theory

S=-1

Structure functions of pseudoscalar mesons in the SU(3) NJL model

and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four channels have been considered:

Renormalization of the NN interaction with a chiral two-pion-exchange potential : Central phases and the deuteron

\pi \Sigma

Bethe-Salpeter approach for meson-meson scattering in chiral perturbation theory

,

Sea quark effects in non-topological chiral soliton models and the Nambu-Jona-Lasinio approach

\bar K N