Single-particle spatial dispersion and clusters in nuclei

Scientific paper - Original scientific paper

• Author: J.-P. Ebran
• Author: E. Khan
• Author: R.-D. Lasseri
• Author: D. Vretenar
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

The spatial dispersion of the single-nucleon wave functions is analyzed using the self-consistent mean-field framework based on nuclear energy density functionals and with the harmonic-oscillator approximation for the nuclear potential. It is shown that the dispersion depends on the radial quantum number n but displays only a very weak dependence on the orbital angular momentum. An analytic expression is derived for the localization parameter that explicitly takes into account the radial quantum number of occupied single-nucleon states. The conditions for single-nucleon localization and formation of cluster structures are fulfilled in relatively light nuclei with A≤30 and n=1 states occupied. Heavier nuclei exhibit the quantum liquid phase of nucleonic matter because occupied levels that originate from n>1 spherical states are largely delocalized. Nevertheless, individual α-like clusters can be formed from valence nucleons filling single-particle levels originating from n=1 spherical mean-field states.

• Keywords (english): cluster models; nuclear energy density functionals
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review C
• Numbering: vol. 97, no. 6, 061301
• p-ISSN: 2469-9985
• DOI: https://doi.org/10.1103/physrevc.97.061301
• URN:NBN: urn:nbn:hr:217:684165
• Publication: 2018
• Document URL: https://journals.aps.org/prc/abstract/10.1103/PhysRevC.97.061301
• Type of resource: Text
• Access conditions: Open access
• Public note: © 2018 American Physical Society. Received 23 March 2018; revised manuscript received 17 April 2018; published 14 June 2018.
• Created on: 2020-03-01 17:33:19