Lambda(1405) as a K-bar N Feshbach resonance in the Skyrme model

Abstract

We describe the Lambda(1405) hyperon as a Feshbach resonance of a bar-KN quasi-bound state coupled by a decaying channel of pi Sigma in the Skyrme model. A weakly bound bar-KN state is generated in the laboratory frame, while the Sigma hyperon as a strongly bound state of bar-KN in the intrinsic frame. We obtain a coupling of bar-KN and pi Sigma channels by computing a baryon matrix element of the axial current. This coupling enables the decay of the bar-KN bound state to pi-Sigma . It is shown that the Skyrme model supports the Lambda(1405) as a narrow Feshbach resonance.

References in corpus (7)

• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral Dynamics of the Two Λ(1405) States
• Effective Kbar N interaction based on chiral SU(3) dynamics
• The parity-violating pion-nucleon coupling constant from a realistic three flavor Skyrme model
• Kaon-Nucleon systems and their interactions in the Skyrme model
• Kaon-Nucleon scattering states and potentials in the Skyrme model

Cited by in corpus (5)

• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• The $\Lambda (1405)$ in resummed chiral effective field theory
• Decay properties of $N(1535)$ in the holographic QCD