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arXiv · 2111.10579

The pseudoscalar meson and baryon octet interaction with strangeness $S=-2$ in the unitary coupled-channel approximation

Bao-Xi Sun·Xin-Yu Liu
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Abstract

The interaction of the pseudoscalar meson and the baryon octet is investigated by solving the Bethe-Salpeter equation in the infinite and finite volume respectively. It is found that there is a resonance state generated dynamically, which owns a mass about 1550MeV and a large decay width of 120-200MeV. This resonance state couples strongly to the $\pi \Xi$ channel. Therefore, it might not correspond to the $\Xi(1620)$ particle announced by Belle collaboration. At the same time, this problem is studied in the finite volume, and an energy level at 1570MeV is obtained, which is between the $\pi \Xi$ and $\bar{K}\Lambda$ thresholds and independent of the cubic box size.

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Bao-Xi Sun, Xin-Yu Liu. 2021-11-20. The pseudoscalar meson and baryon octet interaction with strangeness $S=-2$ in the unitary coupled-channel approximation. https://doi.org/10.1088/1572-9494%2Fac738a

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