Effective quark model with chiralU(3)×U(3)symmetry for baryon octet and decuplet

Abstract

We suggest an effective quark model for low-lying baryon octet and decuplet motivated by QCD with a linearly rising confinement potential incorporating the extended Nambu-Jona-Lasinio (ENJL) model with linear realization of chiral U (3) × U (3) symmetry. Baryons are considered as external heavy states coupled to local three-quark currents with fixed spinorial structure and to low-lying mesons through quark-meson interactions defined in the ENJL-model. In the constituent quark loop representation we have calculated the coupling constants of the πNN, πN∆ and γN∆ interactions and the σ πN -term. The obtained results are in reasonable agreement with experimental data and other effective field theory approaches.

The Nambu–Jona–Lasinio model of light nuclei

“…In the ENJL model mesons are described as qq collective excitations, the qq Cooper pairs, induced by phenomenological local four-quark interactions. In turn, the low-lying octet and decuplet of baryons can be considered in the NJL approach as three-quark qqq collective excitations produced by phenomenological local six-quark interactions [8]. As has been shown in Refs.…”

“…The most interesting effective quark model allowing to describe analytically both SBχS and bosonization (creation of bound qq states with quantum numbers of observed low-lying mesons) is the extended Nambu-Jona-Lasinio (ENJL) model [4][5][6][7][8][9][10][11] with linear [7,8,10] and non-linear [9,11] realization of chiral U(3) × U(3) symmetry. As has been shown in Ref.…”

“…Through one-constituent quark-loop exchanges the Copper qq-pairs acquire the properties of the observed low-lying mesons such as π(140), K(498), η(550), ρ(770), ω(780), K * (890) and so on. For the description of low-lying octet and decuplet of baryons the ENJL model has been extended by the inclusion of local six-quark interactions responsible for creation of baryons as qqq collective excitations [8].…”

“…As has been shown in Refs. [4][5][6][7][8][9][10][11] the ENJL model with chiral U(3) × U(3) symmetry describes at the quark level perfectly well strong lowenergy interactions of hadrons in the form of Effective Chiral Lagrangians [12,13].…”

“…Chiral perturbation theory within the ENJL model with a linear and a non-linear realization of chiral U(3) × U(3) symmetry has been developed in Refs. [7,8] and [9], respectively. In the ENJL model mesons are described as qq collective excitations, the qq Cooper pairs, induced by phenomenological local four-quark interactions.…”