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Analyzing Ξ(1620) in the molecule picture in the Bethe-Salpeter equation approach

2019/01/17 by Zhen-Yang Wang, Jing-Juan Qi, Jing Xu +1
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1140/epjc/s10052-019-7135-3

arXiv admin note: text overlap with arXiv:1710.07424

arxiv created 2019/01/17 · arxiv updated 2019/09/04

Abstract

In this work, we assume that the observed state Ξ(1620) is a s-wave ΛK or ΣK bound state. Based on this molecule picture, we establish the Bethe-Salpeter equations for Ξ(1620) in the ladder and instantaneous approximations. We solve the Bethe-Salpeter equations for the ΛK and ΣK systems numerically and find that the Ξ(1620) can be explained as ΛK and ΣK bound states with JP=1/2-, respectively. Then we calculate the decay widths of Ξ(1620)→Ξπ in these two different molecule pictures systems, respectively.

Citations