Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances

Abstract

We study the meson-baryon interaction with $J^P=1/2^{-}$ using the hidden-gauge Lagrangians and mixing pseudoscalar meson-baryon with the vector meson-baryon states in a coupled channels scheme with $\pi N$, $\eta N$, $K\Lambda$, $K\Sigma$, $\rho N$ and $\pi \Delta$ (d-wave). We fit the subtraction constants of each channel to the $S_{11}$ partial wave amplitude of the $\pi N$ scattering data extracted from experimental data. We find two poles that we associate to the $N^{\ast }(1535)$ and the $N^{\ast }(1650)$ resonances and show that the subtraction constants are all negative and of natural size. We calculate the branching ratios for the different channels of each resonance and we find a good agreement with the experimental data. The cross section for the ${\pi }^{-}p\to \eta n$ scattering is also evaluated and compared with experiment.

References in corpus (37)

• 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 of the Two Λ(1405) States
• Extended Partial-Wave Analysis of piN Scattering Data
• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• Chiral Dynamics and the $S_{11}(1535)$ Nucleon Resonance
• Properties of baryon resonances from a multichannel partial wave analysis
• Chiral unitary approach to S-wave meson baryon scattering in the strangeness S=0 sector
• Quark mass dependence of s-wave baryon resonances
• $S=-1$ Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory and the $S_{01}-$ $\Lambda$(1405) and $-\Lambda$(1670) Resonances
• Updated analysis of $\pi$N elastic scattering data to 2.1~GeV: The Baryon Spectrum
• Nucleon resonances within a dynamical coupled-channels model of pi N and gamma N reactions
• Dynamically generated resonances from the vector octet-baryon octet interaction
• On baryon resonances and chiral symmetry
• Consistent Analysis of the Spin Content of the Nucleon
• Origin of resonances in the chiral unitary approach
• Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings
• Baryon Resonance Extraction from piN Data using a Unitary Multichannel Model
• The $S_{11}-N$(1535) and $-N$(1650) Resonances in Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory
• Dispersion Relation Constrained Partial Wave Analysis of piN Elastic and piN\to\etaN Scattering Data: The Baryon Spectrum
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Chiral unitary meson-baryon dynamics in the presence of resonances: Elastic pion-nucleon scattering
• Unified Chew-Mandelstam SAID analysis of pion photoproduction data
• Couplings in coupled channels versus wave functions in the case of resonances: application to the two $\Lambda (1405)$ states
• $\sigma$ Exchange in the NN Interaction within the Chiral Unitary Approach
• Baryon axial currents
• N* and Delta* decays into N pi0 pi0
• Effects of pseudoscalar-baryon channels in the dynamically generated vector-baryon resonances
• Coupling vector and pseudoscalar mesons to study baryon resonances
• Unitary coupled channel analysis of the $\Lambda (1520)$ resonance
• Vector meson-Baryon dynamics and generation of resonances
• Role of vector and pseudoscalar mesons in understanding $1/2^{-}$ $N^{\ast }$ and $\Delta$ resonances
• S-wave pion nucleon scattering lengths from $\pi N$, pionic hydrogen and deuteron data
• Negative parity $\Lambda$ and $\Sigma$ resonances coupled to pseudoscalar and vector mesons
• A case in favor of the $N^{\ast }(1700)(3/2^{-})$

Cited by in corpus (21)

• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Etaprime and Eta Mesons with Connection to Anomalous Glue
• Strong decays of baryons and missing resonances
• Compositeness of baryonic resonances: Applications to the Delta(1232), N(1535), and N(1650) resonances
• Determination of the ${\mathbf{\eta }}^3\mathrm{He}$ threshold structure from the low energy $\mathbf{pd}\to {\mathbf{\eta }}^3\mathrm{He}$ reaction
• Electromagnetic Transition Form Factors of Baryon Resonances
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Few-body calculations of $\eta$-nuclear quasibound states
• Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• Role of the $N^{\ast }(1535)$ in the ${\Lambda }_c^{+}\to {\bar{K}}^0\eta p$ decay
• Influence of the axial anomaly on the decay $N(1535)\to N\eta$
• Momentum distribution of N${}^{\ast }$ in nuclei
• Correlations of $\mathbf{\pi N}$ Partial Waves for Multi-Reaction Analyses
• Production of $N^{\ast }(1535)$ and $N^{\ast }(1650)$ in ${\Lambda }_c\to {\bar{K}}^0\eta p$ $(\pi N)$ decay
• Roles of the $N(1535)$ and $a_0(980)$ in the process ${\Lambda }_c^{+}\to {\pi }^{+}\eta n$
• Double-strangeness production in $\Lambda p\to K^{+}X$ reaction
• The pseudoscalar meson and baryon octet interaction with strangeness zero in the unitary coupled-channel approximation
• Status of the search for $\eta$-mesic nuclei with particular focus on $\eta$-Helium bound states
• The dynamically generated $N(1535)$ state in the ${\Lambda }_c^{+}\to p{\bar{K}}^0{\pi }^0$ decay
• Partial wave analyses of $\psi (3686)\to p\bar{p}{\pi }^0$ and $\psi (3686)\to p\bar{p}\eta$
• Compositeness of the Delta(1232) resonance in pi N scattering