New trial wave function for the nuclear cluster structure of nuclei

• Zhou, Bo

Abstract

A new trial wave function is proposed for nuclear cluster physics, in which an exact solution to the long-standing center-of-mass problem is given. In the new approach, the widths of the single-nucleon Gaussian wave packets and the widths of the relative Gaussian wave functions describing correlations of nucleons or clusters are treated as variables in the explicit intrinsic wave function of the nuclear system. As an example, this new wave function was applied to study the typical Ne-20 (alpha+O-16) cluster system. By removing exactly the spurious center-of-mass effect in a very simple way, the energy curve of Ne-20 was obtained by variational calculations with the width of the a cluster, the width of the O-16 cluster, and the size parameter of the nucleus. These are considered the three crucial variational variables in describing the Ne-20 (alpha+O-16) cluster system. This shows that the new wave function can be a very interesting new tool for studying many-body and cluster effects in nuclear physics.

Journal

• Progress of theoretical and experimental physics

  Progress of theoretical and experimental physics 2018 (4), 041-, 2018-04

  Oxford University Press

Keywords

• Nuclear Physics

Details

• CRID: 1050845763956688768
• NII Article ID: 120006489793
• DOI: 10.1093/ptep/pty034
• HANDLE: 2115/71016
• ISSN: 20503911
• Web Site: http://academic.oup.com/ptep/article-pdf/2018/4/041D01/24635575/pty034.pdf
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN