Role of deformation in odd-even staggering in reaction cross sections for Ne30,31,32 and Mg36,37,38 isotopes

Y. Urata, K. Hagino, and H. Sagawa
Phys. Rev. C 96, 064311 – Published 15 December 2017

Abstract

We discuss the role of pairing antihalo effect in the observed odd-even staggering in reaction cross sections for Ne30,31,32 and Mg36,37,38 isotopes by taking into account the ground-state deformation of these nuclei. To this end, we construct the ground-state density for the Ne30,31 and Mg36,37 nuclei based on a deformed Woods-Saxon potential, while for the Ne32 and Mg38 nuclei we also take into account the pairing correlation using the Hartree-Fock-Bogoliubov method. We demonstrate that, when the one-neutron separation energy is small for the odd-mass nuclei, a significant odd-even staggering still appears even with finite deformation, although the degree of staggering is somewhat reduced compared to the spherical case. This implies that the pairing antihalo effect in general plays an important role in generating the odd-even staggering in reaction cross sections for weakly bound nuclei.

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  • Received 21 October 2017

DOI:https://doi.org/10.1103/PhysRevC.96.064311

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Y. Urata1, K. Hagino1,2, and H. Sagawa3,4

  • 1Department of Physics, Tohoku University, Sendai, 980-8578, Japan
  • 2Research Center for Electron Photon Science, Tohoku University, 1-2-1 Mikamine, Sendai 982-0826, Japan
  • 3RIKEN Nishina Center, Wako 351-0198, Japan
  • 4Center for Mathematics and Physics, University of Aizu, Aizu-Wakamatsu, Fukushima 965-8560, Japan

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Vol. 96, Iss. 6 — December 2017

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