# Pseudoscalar meson and baryon octet interaction with strangeness zero in the unitary coupled-channel approximation

• 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 a reasonable region of 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 of the Particle Data Group (PDG) review. 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 resonance states 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 $S=0$, so that no resonance state can be generated dynamically.
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Bao-Xi Sun, Si-Yu Zhao and Xiang-Yu Wang. Pseudoscalar meson and baryon octet interaction with strangeness zero in the unitary coupled-channel approximation[J]. Chinese Physics C, 2019, 43(6): 064111. doi: 10.1088/1674-1137/43/6/064111
Bao-Xi Sun, Si-Yu Zhao and Xiang-Yu Wang. Pseudoscalar meson and baryon octet interaction with strangeness zero in the unitary coupled-channel approximation[J]. Chinese Physics C, 2019, 43(6): 064111.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Pseudoscalar meson and baryon octet interaction with strangeness zero in the unitary coupled-channel approximation

###### Corresponding author: Xiang-Yu Wang, wxyly_007@163.com
• College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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 a reasonable region of 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 of the Particle Data Group (PDG) review. 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 resonance states 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 $S=0$, so that no resonance state can be generated dynamically.

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