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

Sun, Bao-Xi ( College of Applied Sciences, Beijing University of Technology, Beijing 100124, China) ; Zhao, Si-Yu ( College of Applied Sciences, Beijing University of Technology, Beijing 100124, China) ; Wang, Xiang-Yu ( College of Applied Sciences, Beijing University of Technology, Beijing 100124, China)

20 May 2019

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 and channel potentials in the S-wave approximation are taken into account. In the sector of isospin and strangeness , a pole is detected in a reasonable region of the complex energy plane of in the center-of-mass frame by analyzing the behavior of the scattering amplitude, which is higher than the threshold and lies on the third Riemann sheet. Thus, it can be regarded as a resonance state and might correspond to the particle of the Particle Data Group (PDG) review. The coupling constants of this resonance state to the , , and 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 and strangeness , so that no resonance state can be generated dynamically.


Published in: Chinese Phys. C 43 (2019) 064111
Published by: Institute of Physics Publishing/Chinese Academy of Sciences
DOI: 10.1088/1674-1137/43/6/064111
arXiv: 1901.03058
License: CC-BY-3.0



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