Single-particle spatial dispersion and clusters in nuclei

Ebran, J.-P. and Khan, E. and Lasseri, R.-D. and Vretenar, Dario (2018) Single-particle spatial dispersion and clusters in nuclei. Physical Review C, 97 (6). pp. 61301-5. ISSN 2469-9985

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Abstract

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.

Item Type: Article
Date: 14 June 2018
Subjects: NATURAL SCIENCES > Physics
Additional Information: © 2018 American Physical Society. Received 23 March 2018; revised manuscript received 17 April 2018; published 14 June 2018.
Divisions: Faculty of Science > Department of Physics
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 16 Jul 2018 09:00
Last Modified: 16 Jul 2018 09:00
URI: http://digre.pmf.unizg.hr/id/eprint/5830

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