Strange S--Wave Excitation of the NJL Soliton

Abstract

The recently developed method to investigate mesonic fluctuations off the chiral soliton in the Nambu--Jona--Lasinio model is applied to kaons in the S--wave channel. It is shown that for commonly accepted choices of parameters the presence of the soliton and the lack of confinement in this model provide an unphysical (valence) quark threshold which is lower than the kaon mass. Choosing parameters such that this threshold is avoided a bound state is obtained in the S--wave channel. After semiclassical quantization this state acquires the quantum numbers of an odd parity $Λ$ and is predicted at about 420MeV above the nucleon mass.