Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective

A. C. Dreyfuss, K. D. Launey, T. Dytrych, J. P. Draayer, R. B. Baker, C. M. Deibel, and C. Bahri
Phys. Rev. C 95, 044312 – Published 10 April 2017

Abstract

We present a detailed discussion of the structure of the low-lying positive-parity energy spectrum of C12 from a no-core shell-model perspective. The approach utilizes a fraction of the usual shell-model space and extends its multishell reach via the symmetry-based no-core symplectic shell model (NCSpM) with a simple, physically informed effective interaction. We focus on the ground-state rotational band, the Hoyle state, and its 2+ and 4+ excitations, as well as the giant monopole 0+ resonance, which is a vibrational breathing mode of the ground state. This, in turn, allows us to address the open question about the structure of the Hoyle state and its rotational band. In particular, we find that the Hoyle state is best described through deformed prolate collective modes rather than vibrational modes, while we show that the higher lying giant monopole 0+ resonance resembles the oblate deformation of the C12 ground state. In addition, we identify the giant monopole 0+ and quadrupole 2+ resonances of selected light- and intermediate-mass nuclei, along with other observables of C12, including matter rms radii, electric quadrupole moments, and E2 and E0 transition rates.

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  • Received 4 November 2016
  • Revised 17 February 2017

DOI:https://doi.org/10.1103/PhysRevC.95.044312

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

A. C. Dreyfuss1, K. D. Launey1, T. Dytrych1,2, J. P. Draayer1, R. B. Baker1, C. M. Deibel1, and C. Bahri1

  • 1Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
  • 2Nuclear Physics Institute, Academy of Sciences of the Czech Republic, 250 68 Řež, Czech Republic

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Issue

Vol. 95, Iss. 4 — April 2017

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