The pseudoscalar meson and baryon octet interaction with strangeness zero in the unitary coupled-channel approximation

Abstract

The interaction of the pseudoscalar meson and the baryon octet is investigated by solving the Bethe-Salpeter equation in the unitary coupled-channel approximation, In addition to the Weinberg-Tomozawa term, the contribution of the $s-$ and $u-$ channel potentials in the S-wave approximation are taken into account. In the sector of isospin $I=1/2$ and strangeness $S=0$, a pole is detected in the reasonable region on the complex energy plane of $\sqrt{s}$ in the center of mass frame by analyzing the behavior of the scattering amplitude, which is higher than the $\eta N$ threshold and lies on the third Riemann sheet. Thus it can be regarded as a resonance state and might correspond to the $N(1535)$ particle in the review of the Particle Data Group(PDG). The coupling constants of this resonance state to the $\pi N$, $\eta N$, $K\Lambda$ and $K\Sigma$ channels are calculated, and it is found that this resonance state couples strongly to the hidden strange channels. Apparently, the hidden strange channels play an important role in the generation of the resonance state with strangeness zero. The interaction of the pseudoscalar meson and the baryon octet is repulsive in the sector of isospin $I=3/2$ and strangeness $S=0$, therefore, no resonance state can be generated dynamically.

arXiv comment11 pages, 5 figures and 4 tables, to be published in Chinese Physics C

References in corpus (15)

• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Chiral Dynamics and the $S_{11}(1535)$ Nucleon Resonance
• Chiral unitary approach to S-wave meson baryon scattering in the strangeness S=0 sector
• Dynamically generated resonances from the vector octet-baryon octet interaction
• The $S_{11}-N$(1535) and $-N$(1650) Resonances in Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1535)$ resonance in lattice QCD
• The phase and pole structure of the N*(1535) in piN-->piN and gammaN-->piN
• Compositeness of baryonic resonances: Applications to the Delta(1232), N(1535), and N(1650) resonances
• Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances
• New Insights on Low Energy $\pi N$ Scattering Amplitudes
• The Lambda(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions

Cited by in corpus (3)

• A study of the elastic $\pi N$ scattering at finite baryon density
• The pseudoscalar meson and baryon octet interaction with strangeness $S=-2$ in the unitary coupled-channel approximation
• The pseudoscalar meson and baryon octet interaction in the unitary coupled-channel approximation