Role of vector and pseudoscalar mesons in understanding $1/2^{-}$ $N^{\ast }$ and $\Delta$ resonances

Abstract

A study of nonstrange meson-baryon systems has been made with the idea of understanding the properties of the low-lying $1/2^{-}$ $N^{\ast }$ and $\Delta$ resonances. The coupled channels are built by considering the pseudoscalar and vector mesons together with the octet baryons. The formalism is based on obtaining the interactions from the lowest order chiral Lagrangian when dealing with pseudoscalar mesons and relying on the hidden local symmetry in case of the vector mesons. The transition between the two systems is obtained by replacing the photon by a vector meson in the Kroll-Ruderman theorem for the photoproduction of pseudoscalar mesons. The subtraction constants, required to calculate the loop-function in the scattering equations, are constrained by fitting the available experimental data on some of the reactions with pseudoscalar meson-baryon final states. As a consequence, we find resonances which can be related to $N^{\ast }(1535)$, $N^{\ast }(1650)$ (with a double pole structure), $N^{\ast }(1895)$ and $\Delta (1620)$. We conclude that these resonances can be, at least partly, interpreted as dynamically generated resonances and that the vector mesons play an important role in determining the dynamical origin of the low-lying $N^{\ast }$ and $\Delta$ states.

Published version

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Cited by in corpus (26)

• Photocouplings at the Pole from Pion Photoproduction
• Compositeness of baryonic resonances: Applications to the Delta(1232), N(1535), and N(1650) resonances
• Electromagnetic Transition Form Factors of Baryon Resonances
• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Spectroscopy of light $N^{\ast }$ baryons
• Why $\Xi (1690)$ and $\Xi (2120)$ are so narrow?
• 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
• Multi-Meson Model for the $D^{+}\to K^{+}{K}^{-}{K}^{+}$ decay amplitude
• Scalar resonances in the $D^{+}\to K^{-}{K}^{+}{K}^{+}$ decay
• Photoproduction of ${\Lambda }^{\ast }$ and ${\Sigma }^{\ast }$ resonances with $J^P=1/2^{-}$ off the proton
• 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
• The reaction $\pi N\to \omega N$ in a dynamical coupled-channel approach
• A study of the $KN$-$K^{\ast }N$ coupled systems
• Decay properties of $N^{\ast }(1895)$
• Roles of the $N(1535)$ and $a_0(980)$ in the process ${\Lambda }_c^{+}\to {\pi }^{+}\eta n$
• Spectral function of the ${\eta }^{\prime }$ meson in nuclear medium based on phenomenological models
• The nucleon resonances in the $J/\psi \to p\bar{p}{\eta }^{\prime }$ decay
• Multibody decay analyses -- a new phenomenological model for meson-meson subamplitudes
• Unitarization and low-energy scattering data
• The dynamically generated $N(1535)$ state in the ${\Lambda }_c^{+}\to p{\bar{K}}^0{\pi }^0$ decay
• Exotic properties of N^*(1895) and its impact on photoproduction of light hyperons