Reorientation-effect measurement of the first 2${}^{+}$ state in ${}^{12}$C: confirmation of oblate deformation

Abstract

A Coulomb-excitation reorientation-effect measurement using the TIGRESS $\gamma -$ray spectrometer at the TRIUMF/ISAC II facility has permitted the first determination of the $⟨2_1^{+}\mid \mid \widehat{E2}\mid \mid 2_1^{+}⟩$ diagonal matrix element in ${}^{12}$C from particle$-\gamma$ coincidence data. Required state-of-the-art no-core shell model calculations of the nuclear polarizability for the ground and first-excited (2${}_1^{+}$) states in ${}^{12}$C using chiral NN N${}^4$LO500 and NN+3NF350 interactions have been performed. Consistent predictions show a larger polarizability than previously anticipated. The polarizability of the 2${}_1^{+}$ state is introduced into the current and previous Coulomb-excitation reorientation-effect analysis of ${}^{12}$C. Spectroscopic quadrupole moments of $Q_{{}_S}(2_1^{+})=+0.053(44)$ eb and $Q_{{}_S}(2_1^{+})=+0.08(3)$ eb are determined, respectively, yielding a weighted average of $Q_{{}_S}(2_1^{+})=+0.071(25)$ eb, in agreement with recent ab initio calculations. The present measurement confirms that the 2${}_1^{+}$ state of ${}^{12}$C is oblate and emphasizes the important role played by the nuclear polarizability in Coulomb-excitation studies of light nuclei.

References in corpus (20)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Tables of E2 Transition Probabilities from the first $2^{+}$ States in Even-Even Nuclei
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Ab initio calculation of the Hoyle state
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Structure and rotations of the Hoyle state
• Local three-nucleon interaction from chiral effective field theory
• Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei
• Evidence for Triangular D_3h Symmetry in 12C
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Quantum Monte Carlo Calculations of Light Nuclei
• Hoyle state and rotational features in Carbon-12 within a no-core shell model framework
• Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
• Hoyle band and $\alpha$ condensation in ${}^{12}\mathrm{C}$
• Analysis methods of safe Coulomb-excitation experiments with radioactive ion beams using the gosia code
• Systematics of 2+ states in C isotopes from the ab initio no-core shell model
• Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
• New formulae for the $(-2)$ moment of the photo-absorption cross section, ${\sigma }_{{}_{-2}}$
• The Hoyle state and its relatives

Cited by in corpus (9)

• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Cluster structures in ${}^{12}$C from global energy density functionals
• Precision measurement of the $E2$ transition strength to the 2${}_1^{+}$ state of ${}^{12}$C
• Cluster model of 12C in density functional theory framework
• Quadrupole dynamics of carbon isotopes and 10Be
• Symmetries and order in cluster nuclei
• Low-energy ${}^{12}$C continuum states in three-$\alpha$ model
• Odd-mass nuclei in the cluster shell model
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics