Strange and Non-Strange Meson Fluctuations off the Nambu--Jona-Lasinio Soliton

Abstract

Mesonic fluctuations off the chiral soliton of the Nambu--Jona-Lasinio model are investigated. The hedgehog configuration is proven to represent a local extremum of the action. The method is applied to flavor SU(3) and the energy eigenvalue of the kaon bound state in the soliton background is evaluated which is the key ingredient for the Callan-Klebanov approach to hyperons. The energy eigenvalue of the corresponding strange-valence-quark is found to be 183MeV higher than the energy eigenvalue of the up-valence-quark when 400MeV is assumed for the up-quark constituent mass.

15 pages (four figures, not included available upon request), UNITU-THEP-3/1993

References in corpus (2)

• Response of nucleons to external probes in hedgehog models: I. Electromagnetic polarizabilities
• Response of nucleons to external probes in hedgehog models: II. General formalism

Cited by in corpus (11)

• Baryons as Chiral Solitons in the Nambu--Jona-Lasinio Model
• Bound State versus Collective Coordinate Approaches in Chiral Soliton Models and the Width of the ${\Theta }^{+}$ Pentaquark
• Hyperons in the Bound State Approach to the Nambu--Jona-Lasinio Chiral Soliton
• Estimate of Quantum corrections to the Mass of the Chiral Soliton in the Nambu--Jona--Lasinio Model
• On the analytic properties of chiral solitons in the presence of the $\omega$--meson
• Nucleon Structure Functions in the Three Flavor NJL Soliton Model
• Diquarks in a chiral soliton field
• Monopole Excitations of Baryons in the Nambu--Jona--Lasinio Soliton Model
• Strange S--Wave Excitation of the NJL Soliton
• Heavy Quark Solitons in the Nambu--Jona-Lasinio Model
• Instability of the hedgehog shape for the octet baryon in the chiral quark soliton model