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

• 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: cluster model; orthogonality condition model
• Online Access: https://phst.kaznu.kz/index.php/journal/article/view/197/208

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.