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arXiv · 1706.01674

Studying the bound state of the $K^-p$ system in the Bethe-Salpeter formalism

Chao Wang·Liang-liang Liu·Xin-Heng Guo
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Abstract

We study the $s$-wave kaon-nucleon bound state with the strangeness $S=-1$ in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. We solve the Bethe-Salpeter equation of the bound state and obtain the Bethe-Salpeter amplitude. It is shown that the $K^-p$ bound state exists in this formalism. We also study the decay width of the bound state based on the Bethe-Salpeter techniques. The mass of this bound state is 1422 MeV and its decay width is obviously smaller than that of $\Lambda(1405)$. These results indicate that there may be some other structures in the observed resonance.

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Chao Wang, Liang-liang Liu, Xin-Heng Guo. 2017-06-06. Studying the bound state of the $K^-p$ system in the Bethe-Salpeter formalism. https://doi.org/10.1103/physrevd.96.056002

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