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Consistency of the Molecular Picture of \(\varOmega \)(2012) with the Latest Belle Results

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Abstract

We report the results of the research on the \(\varOmega (2012)\) state based on the molecular picture and discuss the consistency of the picture with the Belle experimental results. We study the interaction of the \({{\bar{K}}} \varXi ^*\), \(\eta \varOmega \)(s-wave) and \({{\bar{K}}} \varXi \)(d-wave) channels within a coupled channel unitary approach, and obtain the mass and the width of the \(\varOmega (2012)\) state and the decay ratio \({\mathcal {R}}^{\varXi \pi {{\bar{K}}}}_{\varXi \bar{K}}\). We also present a mechanism for \(\varOmega _c \rightarrow \pi ^+ \varOmega (2012)\) production through an external emission Cabibbo favored weak decay mode, where the \(\varOmega (2012)\) is dynamically generated from the above interaction. We find that the results obtained by the molecular picture are consistent with all Belle experimental data.

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Acknowledgements

The work of N. I. was partly supported by JSPS KAKENHI Grant Nos. JP19K14709 and JP21KK0244.

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Authors and Affiliations

  1. Department of Agricultural, Life and Environmental Sciences, Tottori University, Tottori, 680-8551, Japan

    Natsumi Ikeno

  2. Instituto de Fisica, Universidad Nacional Autonoma de Mexico, AP20-364, Mexico City, 01000, Mexico

    Genaro Toledo

  3. Department of Physics, Guangxi Normal University, Guilin, 541004, China

    Wei-Hong Liang

  4. Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, Guilin, 541004, China

    Wei-Hong Liang

  5. Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia - CSIC, Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain

    Eulogio Oset

Authors
  1. Natsumi Ikeno
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  2. Genaro Toledo
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  3. Wei-Hong Liang
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  4. Eulogio Oset
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NI wrote the main manuscript text. All authors reviewed the manuscript.

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Correspondence to Natsumi Ikeno.

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Ikeno, N., Toledo, G., Liang, WH. et al. Consistency of the Molecular Picture of \(\varOmega \)(2012) with the Latest Belle Results. Few-Body Syst 64, 55 (2023). https://doi.org/10.1007/s00601-023-01843-8

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  • DOI: https://doi.org/10.1007/s00601-023-01843-8

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