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On the structure in the ΛN cross section at the ΣN threshold Supported in part by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) and the NSFC through the funds provided to the Sino-German Collaborative Research Center CRC 110 “Symmetries and the Emergence of Structure in QCD” (DFG Project-ID 196253076 - TRR 110, Grant No. 12070131001) and by the EU (STRONG2020). The work of UGM was supported in part by the Chinese Academy of Sciences (CAS) President's International Fellowship Initiative (PIFI) (2018DM0034) and by VolkswagenStiftung (93562)
Chinese Physics C ( IF 3.6 ) Pub Date : 2021-09-02 , DOI: 10.1088/1674-1137/ac0e89
Johann Haidenbauer 1 , Ulf-G. Meiner 1, 2, 3
Affiliation  

The complexity of threshold phenomena is exemplified on a prominent and long-known case - the structure in the $\Lambda p$ cross section (invariant mass spectrum) at the opening of the $\Sigma N$ channel. The mass splitting between the $\Sigma$ baryons together with the angular momentum coupling in the $^3S_1$- $^3D_1$ partial wave imply that, in principle, up to six channels are involved. Utilizing hyperon-nucleon potentials that provide an excellent description of the available low-energy $\Lambda p$ and $\Sigma N$ scattering data, the shape of the resulting $\Lambda p$ cross section is discussed and the poles near the $\Sigma N$ threshold are determined. Evidence for a strangeness $S=-1$ dibaryon is provided, in the form of a (unstable) $\Sigma N$ bound state in the vicinity of the $\Sigma N$ threshold. Predictions for level shifts and widths of $\Sigma^-p$ atomic states are given.

更新日期:2021-09-02
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