https://doi.org/10.1140/epja/s10050-022-00788-6
Regular Article -Theoretical Physics
The existence of the quasi-bound state in 
four-body system
Faculty of Physics, University of Isfahan, 81746-73441, Isfahan, Iran
Received:
10
March
2022
Accepted:
6
July
2022
Published online:
16
July
2022
The possible existence of quasi-bound state in with quantum numbers 
and 
on the basis of four-body Alt-Grassberger-Sandhas equations in the momentum representation was investigated. We constructed a separable representation for the subamplitudes in the [3+1] and [2+2] partitions. The separable expansion for the integral kernels in the three- and four-body equations was obtained by using the method of the energy-dependent pole expansion (EDPE). Different separable phenomenological and chiral SU(3) based potentials having the one- and two-pole structure of the 
resonance were used to study the dependence of the results on 
interaction. It was shown that the four-body system is bound with a binding energy of 
38–78 MeV and width of 
MeV.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
