Symplectic coherent-state bases in the OCM calculations of nuclear cluster systems

In order to solve many-body states in a wide energy region including continuum states, it is strongly desiredto develop a useful method. In nuclear cluster systems [1, 2,], we must treat both bound and unbound statessimultaneously. For such calculations, we propose to apply symplectic coherent-state...

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Bibliographic Details
Main Authors: K. Kato, V. S. Vasilevsky, N. Takibayev
Format: Article
Language:English
Published: Al-Farabi Kazakh National University 2021-05-01
Series:Physical Sciences and Technology
Subjects:
Online Access:https://phst.kaznu.kz/index.php/journal/article/view/197/208
Description
Summary:In order to solve many-body states in a wide energy region including continuum states, it is strongly desiredto develop a useful method. In nuclear cluster systems [1, 2,], we must treat both bound and unbound statessimultaneously. For such calculations, we propose to apply symplectic coherent-state bases (SCSB). In thisreport, the basic idea of the SCSB method will be explained. Especially the Pauli exclusion principle playsan important role in nuclear systems [3, 4], and the orthogonality condition model (OSM) [5] has beenstudied successfully for various kinds of nuclear cluster systems. We here discuss an application of theSCSB to the OCM. The SCSB method can be easily applied to two-cluster systems. However, for multiclustersystems, the applicability of the SCSB is not self-evident. The multi-cluster system is described bythe Pauli-allowed states (PAS) [6] under the Pauli exclusion principle. In this report, the multi-cluster SCSBwill be discussed on the basis of the PAS of the multi-cluster systems.
ISSN:2409-6121
2522-1361