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The $Lambda _c^+→ Lambda pi ^+pi ^+pi ^-Λ c + → Λ π + π + π - reaction, and a triangle singularity producing theSigma ^*(1430)$ Σ ∗ ( 1430 ) state

DOAJ

Authors: Yi-Yao Li, Jing Song, Eulogio Oset, Wei-Hong Liang, Raquel Molina

Year

2025

Paper ID

4694

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

158

Citations

Abstract

Abstract We study the decay $Lambda _c^+ → Lambda pi ^+ pi ^+ pi ^-Λ c + → Λ π + π + π - , focusing on the production of theSigma ^*(1430)Σ ∗ ( 1430 ) resonance observed by the Belle Collaboration. Interpreted as a dynamically generated state from meson-baryon interactions in the chiral unitary approach, theSigma ^*(1430)Σ ∗ ( 1430 ) signal is shown to be enhanced by a triangle singularity involving intermediateK^*-K ∗ - , p, and{bar{K}}⁰K ¯ 0 states. This mechanism leads to a sharp peak near 1434 MeV in thepi ^+ Lambdaπ + Λ invariant mass distribution, in agreement with the experimental observations, and predicts a secondary peak around 1875 MeV in thepi ^- Sigma ^*(1430)π - Σ ∗ ( 1430 ) spectrum tied to the triangle singularity. We also estimate the branching ratio ofLambda _c^+ → pi ^+ pi ^- Sigma ^*(1430)Λ c + → π + π - Σ ∗ ( 1430 ) to be about3.5 times 10^-43.5 × 10 - 4 . The results for the branching ratio and thepi ^- Sigma ^*(1430)$ π - Σ ∗ ( 1430 ) mass distributions are predictions of the theoretical approach, which could be tested with reanalysis of existing data.

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Abstract We study the decay Lambda c^+ -> Lambda pi ^+ pi ^+ pi ^-Λ c + → Λ π + π + π - , focusing on the production of theSigma ^*(1430) Σ ∗ ( 1430 ) resonance observed by the...

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References & Citation Signals

[1] DOI https://doi.org/10.1140/epjc/s10052-025-14820-8 [2] Publisher https://doi.org/10.1140/epjc/s10052-025-14820-8

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