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A Realistic Approach to the \(\varXi NN\) Bound-State Problem Based on Faddeev Equation

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Abstract

The Faddeev equations for the \(\varXi NN\) bound-state problem are solved where the three \(S=-2\) baryon–baryon interactions of Jülich-Bonn-München chiral EFT, HAL QCD and Nijmegen ESC08c are used. The T-matrix \(T_{\varXi N, \varXi N}\) obtained within the original \(\varLambda \varLambda -\varXi N-\varSigma \varSigma /\varXi N-\varLambda \varSigma -\varSigma \varSigma \) coupled-channel framework is employed as an input to the equations. We found no bound state for Jülich-Bonn-München chiral EFT and HAL QCD but ESC08c generates a bound state with the total isospin and spin-parity \((T,J^{\pi })=(1/2, 3/2^+)\) where the decays into \(\varLambda \varLambda N\) are suppressed.

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Acknowledgements

We thank Y. Yamamoto, J. Haidenbauer and T. Inoue for the communication with regard to their \(S=-2\) baryon-baryon interactions.

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  1. K. Miyagawa

    Present address: Research Center for Nuclear Physics, Osaka University, Ibaraki, 567-0047, Japan

Authors and Affiliations

  1. Graduate School of Science, Okayama University of Science, Okayama, 700-0005, Japan

    K. Miyagawa

  2. Research Center for Nuclear Physics, Osaka University, Ibaraki, 567-0047, Japan

    M. Kohno

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  1. K. Miyagawa
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  2. M. Kohno
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Correspondence to K. Miyagawa.

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Miyagawa, K., Kohno, M. A Realistic Approach to the \(\varXi NN\) Bound-State Problem Based on Faddeev Equation. Few-Body Syst 62, 65 (2021). https://doi.org/10.1007/s00601-021-01650-z

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