Octet and Decuplet Baryons in the Hadronized Nambu--Jona-Lasinio Model with Proper Spin Projection

Abstract

Octet and Decuplet baryons are described within the hadronized NJL model as diquark--quark states, which are bound by quark exchange. Including scalar and axial--vector diquark correlations, we project the previously obtained relativistic Faddeev equation in a Poincaré invariant fashion onto good spin, using a static approximation to the exchanged quark. The resulting equations for the spin 1/2 octet and the spin 3/2 decuplet are solved numerically.

9 pages, LaTeX, revised version accepted by Phys. Lett. B

References in corpus (4)

• Nucleon Solution of the Faddeev Equation in the Nambu-Jona-Lasinio Model
• Faddeev approach to the octet and decuplet baryons
• Diquark electromagnetic form factors in a Nambu-Jona-Lasinio model
• The nucleon as a relativistic quark-diquark bound state with an exchange potential

Cited by in corpus (7)

• Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model
• Masses of ground and excited-state hadrons
• Nucleon Form Factors in a Covariant Diquark-Quark Model
• Baryons as Hybrids of Solitons and Three Quark Bound States
• A covariant diquark-quark model of the nucleon in the Salpeter approach
• Faddeev equation for heavy baryons in the quark-diquark picture
• RPA-Approach to the Excitations of the Nucleon, Part II: Phenomenology