Three-cluster description of properties of light neutron- and proton-rich nuclei in the framework of the algebraic version of the resonating group method

• Published in: Physics of particles and nuclei Vol. 41; no. 5; pp. 716 - 765
• Main Authors: Nesterov, A. V., Arickx, F., Broeckhove, J., Vasilevsky, V. S.
• Format: Journal Article
• Language: English
• Published: Dordrecht SP MAIK Nauka/Interperiodica 01-09-2010
• Subjects: DEUTERIUM; HEAVY ION FUSION REACTIONS; HELIUM 3; HELIUM 4; HELIUM 6; HELIUM 8; NUCLEAR PHYSICS AND RADIATION PHYSICS; Particle and Nuclear Physics; PAULI PRINCIPLE; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; RESONATING-GROUP METHOD; THERMONUCLEAR REACTIONS; TRITIUM; WAVE FUNCTIONS; Cluster System; Hyperspherical Harmonic; Neutron Halo; Algebraic Version; Cluster Configuration
• ISSN: 1063-7796; 1531-8559
• DOI: 10.1134/S1063779610050047

A three-cluster microscopic approach to description of the properties of light atomic nuclei (algebraic version of the resonating group method) is presented. The approach is based on the application of oscillator functions for determination of the wave functions of each cluster and expansion of the function of relative cluster motion. Those applications of the method that are related to the study of the properties of states of the discrete and continuous spectra of neutron- and proton-rich
6
He,
8
He,
6
Be,
5
H nuclei and fusion reactions
3
H(
2
H, 2
n
)
4
He and
3
He(
3
He, 2
p
)
4
He are mainly considered. Technical issues of calculations are discussed to the extent necessary for understanding the presented material. The main attention is concentrated on the presentation of physical results, their comparison with experimental data, and results obtained in other theoretical approaches. Problems associated with the role of the Pauli principle, convergence of numerical results, and approximations made in the course of calculations are also discussed in sufficient detail