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
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