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| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.12965 |
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Table of Contents:
- In this work, we investigate the resonance production in $Λ^+_c \to γπ^+ Λ$ decay through the triangle singularity (TS) mechanism, within an effective Lagrangian approach. We find that the appropriate loop decay process could develop a triangle singularity in the invariant mass $M_{πΛ}$ around $1.35$ GeV, with the shape depending on the quantum numbers of $Σ^*$ states that couple to the final $πΛ$ system. Especially, the $Σ(1380)1/2^-$ state newly predicted in the pentaquark model, if exists, significantly enhances the TS contribution and sharpens the TS peak due to the $S$-wave $Σ^*πΣ$ vertex in the loop. Therefore, the existence of the $Σ(1380)1/2^-$ state can be examined by measuring the TS signal in $Λ^+_c \to γπ^+ Λ$. Considering also possible tree-level diagrams, we additionally obtain the branching ratio ${\rm Br}(Λ^+_c \to γπ^+ Λ)\simeq 1.5\times 10^{-5}$. We suggest the investigation of this reaction by future BESIII, LHCb, and Belle experiments.