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Title: The spectroscopic quadrupole moment of the 2 1 + state of 12C: A benchmark of theoretical models

Journal Article · · Physics Letters. B
 [1]; ORCiD logo [1];  [2];  [3];  [3];  [4];  [5];  [6];  [6];  [7];  [6];  [8];  [6];  [6];  [9];  [7];  [1];  [6];  [6];  [10] more »;  [3];  [6];  [11];  [6];  [6];  [6];  [6];  [6];  [6];  [6];  [1] « less
  1. Univ. of York (United Kingdom)
  2. Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
  3. Technische Univ. Darmstadt (Germany)
  4. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
  5. Univ. of Liverpool (United Kingdom)
  6. Univ. of Jyvaskyla (Finland)
  7. Univ. of Liverpool (United Kingdom); Univ. of Jyvaskyla (Finland)
  8. Univ. of York (United Kingdom); Univ. of Jyvaskyla (Finland)
  9. Univ. of Surrey, Guildford (United Kingdom); Univ. of Warsaw (Poland)
  10. Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
  11. Univ. of Jyvaskyla (Finland); Science and Technology Facilities Council (STFC), Daresbury (United Kingdom). Daresbury Lab.

The spectroscopic quadrupole moment of the first 2+ state of 12C has been measured employing the Coulomb-excitation re-orientation technique. Our result of $$Q_{s} (2^{+}_{1}) = +9.3^{+3.5}_{-3.8}$$ efm2 suggests a larger oblate deformation than previously reported. Combining this with the consistently re-analyzed adopted value, we present the most precise value to date of $$Q_{s} (2^{+}_{1})$$ = +9.5(18) efm2, which is consistent with a geometrical rotor description. This simple outcome is compared to state-of-the-art shell-model, mean-field, ab initio calculations, cluster-based and geometrical-like theories, which show varying degrees of emergent quadrupole collectivity.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
German Research Foundation (DFG); Royal Society; Science and Technology Facilities Council, UK (STFC); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC02-05CH11231; AC05-00OR22725
OSTI ID:
1997621
Journal Information:
Physics Letters. B, Journal Name: Physics Letters. B Journal Issue: 1 Vol. 845; ISSN 0370-2693
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (38)

Atlas of photoneutron cross sections obtained with monoenergetic photons journal March 1988
Electric quadrupole moment of the first excited state of 12C journal February 1983
Total nuclear photon absorption cross sections for some light elements journal October 1975
66Ga: a standard for high-energy calibration of Ge detectors
  • Baglin, C. M.; Browne, E.; Norman, E. B.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 481, Issue 1-3 https://doi.org/10.1016/S0168-9002(01)01376-6
journal April 2002
Tables of E2 transition probabilities from the first 2 + states in even–even nuclei journal January 2016
Cluster structures within Fermionic Molecular Dynamics journal June 2004
Systematics of the ratio of electric quadrupole moments Q ( 2 1 + ) to the square root of the reduced transition probabilities B ( E 2 ; 0 1 + → 2 1 + ) in even–even nuclei journal December 2018
Reorientation-effect measurement of the first 2+ state in 12C: Confirmation of oblate deformation journal February 2018
α-Clustering in atomic nuclei from first principles with statistical learning and the Hoyle state character journal April 2022
The structure of rotational bands in alpha-cluster nuclei journal January 2015
Symmetries and order in cluster nuclei conference January 2019
Coulomb Excitation of the 2·615 MeV (3?) and 4.086 MeV (2+) States of 208Pb journal January 1984
Supersolidity of the $\alpha$ cluster structure in the nucleus $^{12}$C journal April 2020
Migdal's and Khokhlov's Calculations of the Nuclear Photoeffect journal July 1957
Precision measurement of the E 2 transition strength to the 2 1 + state of C 12 journal July 2020
Quadrupole moments and proton-neutron structure in p -shell mirror nuclei journal September 2021
Effective interactions for the 0 p 1 s 0 d nuclear shell-model space journal September 1992
Triaxial rotor model for nuclei with independent inertia and electric quadrupole tensors journal August 2004
Deformations and electromagnetic moments in carbon and neon isotopes journal November 2004
Triaxial rotor model description of E 2 properties in Os 186 , 188 , 190 , 192 journal July 2008
Further examination of prolate-shape dominance in nuclear deformation journal March 2009
Evidence for a new C 12 state at 13.3 MeV journal March 2011
Microscopic description of quantum shape fluctuation in C isotopes journal August 2011
Shell-model study of boron, carbon, nitrogen, and oxygen isotopes with a monopole-based universal interaction journal June 2012
Oblate deformation of light neutron-rich even-even nuclei journal May 2014
C 12 properties with evolved chiral three-nucleon interactions journal July 2014
New formulas for the ( − 2 ) moment of the photoabsorption cross section, σ − 2 journal June 2015
Electromagnetic transition strengths for light nuclei in the Skyrme model journal March 2016
Sensitivities and correlations of nuclear structure observables emerging from chiral interactions journal July 2016
Cluster structures in C12 from global energy density functionals journal March 2019
First measurement of the B ( E 2 ; 3 / 2 − → 1 / 2 − ) transition strength in Be 7 : Testing a b i n i t i o predictions for A = 7 nuclei journal June 2019
Structure and Rotations of the Hoyle State journal December 2012
Evolution of shell structure in exotic nuclei journal March 2020
The jurogam 3 spectrometer journal May 2020
Alpha-induced inelastic scattering and alpha-transfer reactions in $$^{12}$$C and $$^{16}$$O within the Algebraic Cluster Model journal January 2021
Polarizability effects in atomic nuclei journal March 2020
The Structure of Ground and Excited States of 12C journal April 2007
Nuclear Shapes Studied by Coulomb Excitation journal December 1986