Formulation of a shell–cluster overlap integral with the Gaussian expansion method. (23rd September 2021)

• Record Type: Journal Article
• Authors: Nakamoto, R; Ueda, E; Ito, M; Shimizu, N
• Is Part Of: Progress of theoretical and experimental physics. Volume 2021:Number 11(2021)
• Publication Date: 2021-09-23
• Subjects: D11 -- D13; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptab120
• Languages: English
• ISSNs: 2050-3911

Abstract

Abstract: We formulate a computational method to evaluate the overlap integral of the shell-model and cluster-model wave functions. The framework is applied to the system of the core plus two neutrons, and the magnitude of the overlap of the shell-model configuration (core + $n$ + $n$ ) and the di-neutron cluster one (core + $2n$ ) is explored. We have found that the magnitude of the overlap integral is prominently enhanced when two neutrons occupy shell-model orbits with low orbital angular momenta, such as $s$ - and $p$ -wave orbits. The shell–cluster overlap is calculated in systems with $jj$ -closed cores plus two neutrons, and the enhancement due to occupation of the $s$ or $p$ orbit also occurs in the systematic calculation. The effect of the configuration interaction on the shell–cluster overlap integrals is also discussed.