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Deeply quasi-bound state in single- and double-\(\bar{K}\) nuclear clusters

  • S. MarriEmail author
  • S. Z. Kalantari
  • J. Esmaili
Regular Article - Theoretical Physics

Abstract.

New calculations of the quasi-bound state positions in \(K^{-}K^{-}pp\) kaonic nuclear cluster are performed using non-relativistic four-body Faddeev-type equations in AGS form. The corresponding separable approximation for the integral kernels in the three- and four-body kaonic clusters is obtained by using the Hilbert-Schmidt expansion procedure. Different phenomenological models of \(\bar{K}N\)-\(\pi\Sigma\) potentials with one- and two-pole structure of \(\Lambda (1405)\) resonance and separable potential models for \(\bar{K}\)-\(\bar{K}\) and nucleon-nucleon interactions, are used. The dependence of the resulting four-body binding energy on models of \(\bar{K}N\)-\(\pi\Sigma\) interaction is investigated. We obtained the binding energy of the \(K^{-}K^{-}pp\) quasi-bound state \(\sim\) 80-94 MeV with the phenomenological \(\bar{K}N\) potentials. The width is about \(\sim\) 5-8 MeV for the two-pole models of the interaction, while the one-pole potentials give \(\sim\) 24-31 MeV width.

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of PhysicsIsfahan University of TechnologyIsfahanIran
  2. 2.Department of Physics, Faculty of Basic SciencesShahrekord UniversityShahrekordIran

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