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Single-particle spatial dispersion and clusters in nuclei

J.-P. Ebran, E. Khan, R.-D. Lasseri, and D. Vretenar
Phys. Rev. C 97, 061301(R) – Published 14 June 2018

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 A30 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.

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  • Received 23 March 2018
  • Revised 17 April 2018

DOI:https://doi.org/10.1103/PhysRevC.97.061301

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

J.-P. Ebran1, E. Khan2, R.-D. Lasseri2, and D. Vretenar3

  • 1CEA, DAM, DIF, F-91297 Arpajon, France
  • 2Institut de Physique Nucléaire, Université Paris-Sud, IN2P3-CNRS, Université Paris-Saclay, F-91406 Orsay Cedex, France
  • 3Department of Physics, Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia

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Issue

Vol. 97, Iss. 6 — June 2018

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