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 (6)

• Extended Partial-Wave Analysis of piN Scattering Data
• Origin of resonances in the chiral unitary approach
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Couplings in coupled channels versus wave functions in the case of resonances: application to the two $\Lambda (1405)$ states
• Unitary coupled channel analysis of the $\Lambda (1520)$ resonance
• Vector meson-Baryon dynamics and generation of resonances

Cited by in corpus (14)

• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• 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 ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• Influence of the axial anomaly on the decay $N(1535)\to N\eta$
• Momentum distribution of N${}^{\ast }$ in nuclei
• 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 dynamically generated $N(1535)$ state in the ${\Lambda }_c^{+}\to p{\bar{K}}^0{\pi }^0$ decay
• 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
• Partial wave analyses of $\psi (3686)\to p\bar{p}{\pi }^0$ and $\psi (3686)\to p\bar{p}\eta$