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How to unravel the nature of the $\Sigma^*(1430) (1/2^-)$ state from correlation functions

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arxiv 2409.05787 v2 pith:K7QUKXKI submitted 2024-09-09 hep-ph

Hai-Peng Li , Chu-Wen Xiao , Wei-Hong Liang , Jia-Jun Wu , En Wang , Eulogio Oset This is my paper · ORCID
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keywords sigmacorrelationfunctionsstatethresholdamplitudesanalysisapproach
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abstract

We calculate the correlation functions for the $\bar K^0 p, \pi^+ \Sigma^0, \pi^0 \Sigma^+, \pi^+ \Lambda$, and $\eta \Sigma^+$ states, which in the chiral unitary approach predict an excited $\Sigma^*(1/2^-)$ state at the $\bar K N$ threshold, recently observed by the Belle Collaboration. Once this is done, we tackle the inverse problem of seeing how much information one can obtain from these correlation functions. With the resampling method, one can determine the scattering parameters of all the channels with relative precision by means of the analysis in a general framework, and find a clear cusplike structure corresponding to the $\Sigma^*(1/2^-)$ in the different amplitudes at the $\bar{K}N$ threshold.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum interference effects enhanced in $\pi^+p$ femtoscopic correlation functions

    hep-ph 2026-07 conditional novelty 7.0 of 10

    The π⁺p correlation peak near 140 MeV/c arises from quantum interference of incident and scattered waves, while the Δ decay peaks near 220 MeV/c; their m_T-dependent mix explains the ALICE peak shift.

  2. Signatures of Odd-Parity $s$-wave $\Xi^*$ States in Femtoscopic Correlation Functions

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Using a unitarized hidden-gauge model, the authors dynamically generate Xi(1950)-like and Xi(2120)-like poles and predict femtoscopic correlation functions for six vector-baryon channels.

  3. Spectroscopic and femtoscopic insights into vector-baryon interactions in the strangeness $-1$ sector

    hep-ph 2025-07 conditional novelty 6.0 of 10

    The authors predict three Lambda* and two Sigma* resonances from vector-baryon interactions and provide femtoscopy correlation functions for six channels in the S=-1 sector.

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