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Chiral SU(3) dynamics and the quasibound K  –  pp cluster

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Abstract

The prototype of a \(\bar{K}\) nuclear cluster, K  − pp, has been investigated using effective \(\bar{K}N\) potentials based on chiral SU(3) dynamics. Variational calculation shows a bound state solution with shallow binding energy B(K  − pp) = 20±3 MeV and broad mesonic decay width \(\Gamma(\bar{K}NN \rightarrow \pi Y N)=40\)–70 MeV. The \(\bar{K}N(I=0)\) pair in the K  − pp system exhibits a similar structure as the Λ(1405). We have also estimated the dispersive correction, p-wave \(\bar{K}N\) interaction, and two-nucleon absorption width.

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Authors and Affiliations

  1. High Energy Accelerator Research Organization (IPNS/KEK), 1-1 Oho, Tsukuba, Ibaraki, 3050801, Japan

    Akinobu Doté

  2. Physik-Department, Technische Universität München, 85747, Garching, Germany

    Tetsuo Hyodo & Wolfram Weise

  3. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan

    Tetsuo Hyodo

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  1. Akinobu Doté
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  2. Tetsuo Hyodo
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  3. Wolfram Weise
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Correspondence to Akinobu Doté.

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Doté, A., Hyodo, T. & Weise, W. Chiral SU(3) dynamics and the quasibound K  –  pp cluster. Hyperfine Interact 193, 245–251 (2009). https://doi.org/10.1007/s10751-009-0007-8

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