https://doi.org/10.1140/epja/i2016-16361-1
Regular Article - Theoretical Physics
Deeply quasi-bound state in single- and double-
nuclear clusters
1
Department of Physics, Isfahan University of Technology, 84156-83111, Isfahan, Iran
2
Department of Physics, Faculty of Basic Sciences, Shahrekord University, 115, Shahrekord, Iran
* e-mail: s.marri@ph.iut.ac.ir
Received:
16
July
2016
Accepted:
22
November
2016
Published online:
15
December
2016
New calculations of the quasi-bound state positions in 
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 
-
potentials with one- and two-pole structure of 
resonance and separable potential models for - and nucleon-nucleon interactions, are used. The dependence of the resulting four-body binding energy on models of - interaction is investigated. We obtained the binding energy of the quasi-bound state 
80-94 MeV with the phenomenological potentials. The width is about 5-8 MeV for the two-pole models of the interaction, while the one-pole potentials give 24-31 MeV width.
© SIF, Springer-Verlag Berlin Heidelberg, 2016
