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

E. J. Garzon; E. Oset

doi:10.1103/physrevc.91.025201

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arXiv · 1411.3547

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

E. J. Garzon·E. Oset

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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 $πN$, $ηN$, $KΛ$, $KΣ$, $ρN$ and $πΔ$ (d-wave). We fit the subtraction constants of each channel to the $S_{11}$ partial wave amplitude of the $πN$ scattering data extracted from experimental data. We find two poles that we associate to the $N^*(1535)$ and the $N^*(1650)$ 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 $π^- p \to ηn$ scattering is also evaluated and compared with experiment.

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E. J. Garzon, E. Oset. 2014-11-13. Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^-$ sector and the $N^*$(1535) and $N^*$(1650) resonances. https://doi.org/10.1103/physrevc.91.025201

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