https://doi.org/10.1140/epja/s10050-021-00459-y
Regular Article –Theoretical Physics
Binding of antikaons and 
clusters in light kaonic nuclei
Department of Physics, Kyoto University, 606-8502, Kyoto, Japan
a
yenyo@ruby.scphys.kyoto-u.ac.jp
Received:
5
October
2020
Accepted:
1
April
2021
Published online:
8
June
2021
The energy spectra of light-mass kaonic nuclei were investigated using the theoretical framework of the 0s-orbital model with zero-range 
and 
interactions of effective single-channel real potentials. The energies of the 
, 
, 
, 
, and 
systems were calculated in the cases of weak- and deep-binding of the interaction, which was adjusted to fit the mass with the energy of the bound state. The results qualitatively reproduced the energy systematics of the ground states of kaonic nuclei calculated via other theoretical approaches. In our simplified model, the lowest states 
and 
were found to have binding energies approximately twice and four times as large as that of the 
state, respectively. Higher 
states including 
, 
, and 
were predicted at energies of 9–25 MeV below the antikaon-decay threshold. The effective - interaction in the system was also investigated via a 
-cluster model. Strong and weak - attractions were obtained in the 
and 
channels, respectively. The - interaction in the system was compared with the effective d-d interaction in the NNNN system, and the properties of dimer-dimer interactions in hadron and nuclear systems were discussed.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
