Abstract
The kaonic clusters KNN and KNNN are studied within the method of hyperspherical functions in the momentum representation. Binding energies and widths of three- and four-body nuclear quasibound states are calculated by employing realistic NN potentials and the energy dependent chiral KN interaction, as well as a phenomenological KN potential. The comparison of the results of calculations obtained in the framework of the variational method, Faddeev, Faddeev-Yakubovsky equations, and method of hyperspherical functions in configuration space are discussed.
Highlights
The study of antikaon interactions with nucleon and nuclei has a long history and during the last decade attract many attentions after Akaishi and Yamazaki [1] predicted the existence of deep and narrow K bound states in K−nuclear few body clusters by calculating their binding energy within the framework of the Brueckner-Hartree-Fock theory
Binding energies and widths of three-body KNN and four-body KNNN bound states were calculated in the hyperspherical basis using realistic NN potentials and the energy dependent chiral
In this report we present three- and four-body nonrelativistic calculations within the framework of the potential model for the K−nuclear clusters KNN and KNNN using the hyperspherical basis in momentum representation
Summary
The study of antikaon interactions with nucleon and nuclei has a long history and during the last decade attract many attentions after Akaishi and Yamazaki [1] predicted the existence of deep and narrow K bound states in K−nuclear few body clusters by calculating their binding energy within the framework of the Brueckner-Hartree-Fock theory. The light kaonic clusters KNN and KNNN represent a three- and four-body systems and theoretically can be treated in the framework of a few-body physics approaches: the variational method [1], [3] - [6], the method of Faddeev [7] - [13] and Faddeev-Yakubovsky [14] equations and the method of hyperspherical harmonics (HH) [15].
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