Role of the triangle singularity in the isospin breaking process J/ψΛΛ¯π and the possible evidence of Σ*(12) states

Author:

Huang Qi1,Ma Zi-Xuan1,Wu Jia-Jun23ORCID,Ping Rong-Gang245ORCID,He Jun1ORCID,Huang Hong-Xia1ORCID

Affiliation:

1. Nanjing Normal University

2. University of Chinese Academy of Sciences (UCAS)

3. Institute of Modern Physics, Chinese Academy of Sciences

4. Institute of High Energy Physics

5. Chinese Academy of Sciences

Abstract

In this study, the impact of triangle singularity is investigated in the isospin breaking process J/ψΛΛ¯π. The triangle singularity is found to play a significant role in the process, resulting in the creation of a resonancelike structure around 1.4 GeV in the Λπ(Λ¯π) invariant mass spectrum. To amplify the impact of this triangle singularity, the presence of two Σ*(12) states around 1.4 GeV and 1.6 GeV is essential, yet these states have not been definitively identified in the current baryon spectrum. We recommend that experiments, particularly the Beijing Spectrometer and the future Super Tau-Charm Factory, investigate the process J/ψΛΛ¯π to offer direct evidence for our predicted triangle singularity and additional evidence regarding the Σ(12) states. Published by the American Physical Society 2024

Funder

National Natural Science Foundation of China

National Key Research and Development Program of China

Nanjing Normal University

Chinese Academy of Sciences

Xiaomi Foundation

Publisher

American Physical Society (APS)

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