Search and research of K̄NNN and K̄K̄NN antikaonic clusters
Kezerashvili R.Y. Tsiklauri S.M. Takibayev N.Z.
November 2021Elsevier B.V.
Progress in Particle and Nuclear Physics
2021#121
This review presents the current status of experimental searches and theoretical studies of antikaonic four-body K̄NNN and K̄K̄NN clusters. Theoretical approaches within the framework of non-relativistic potential models used for the investigation of four-body K̄NNN and K̄K̄NN clusters, such as the variational, Faddeev equations, and hyperspherical harmonics are considered. The results of calculations for the binding energies and the widths obtained within these methods by employing diverse sets of nucleon–nucleon, effective K̄N, and antikaon–antikaon interactions are presented, discussed, and compared with the calculations using the method of hyperspherical harmonics in momentum representation. The presented results demonstrate that the quasibound state energy of antikaonic four-body K̄NNN and K̄K̄NN clusters is not sensitive to the NN interaction, and show a very strong dependence on the K̄N potential. Despite the strong short-range repulsion due to the NN interaction in K−ppp and K−K−pp and the weak K̄K̄ repulsion in K−K−pp, the antikaonic clusters K−ppp and K−K−pp are strongly bound.
Binding energy and width , K̄-nuclear system , K̄K̄NN cluster , K̄NNN cluster
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Physics Department, New York City College of Technology, The City University of New York, Brooklyn, 11201, NY, United States
The Graduate School and University Center, The City University of New York, New York, 10016, NY, United States
Borough of Manhattan Community College, The City University of New York, New York, 10007, NY, United States
Al-Farabi Kazakh National University, Almaty, 480078, Kazakhstan
Physics Department
The Graduate School and University Center
Borough of Manhattan Community College
Al-Farabi Kazakh National University
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