Reorientation-effect measurement of the first 2+ state in 12C: Confirmation of oblate deformation

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Abstract

A Coulomb-excitation reorientation-effect measurement using the TIGRESS γ−ray spectrometer at the TRIUMF/ISAC II facility has permitted the determination of the 〈21+‖E2ˆ‖21+〉 diagonal matrix element in 12C from particle−γ coincidence data and state-of-the-art no-core shell model calculations of the nuclear polarizability. The nuclear polarizability for the ground and first-excited (21+) states in 12C have been calculated using chiral NN N4LO500 and NN+3NF350 interactions, which show convergence and agreement with photo-absorption cross-section data. Predictions show a change in the nuclear polarizability with a substantial increase between the ground state and first excited 21+ state at 4.439 MeV. The polarizability of the 21+ state is introduced into the current and previous Coulomb-excitation reorientation-effect analyses of 12C. Spectroscopic quadrupole moments of QS(21+)=+0.053(44) eb and QS(21+)=+0.08(3) eb are determined, respectively, yielding a weighted average of QS(21+)=+0.071(25) eb, in agreement with recent ab initio calculations. The present measurement confirms that the 21+ state of 12C is oblate and emphasizes the important role played by the nuclear polarizability in Coulomb-excitation studies of light nuclei.

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Kumar Raju, M., Orce, J. N., Navrátil, P., Ball, G. C., Drake, T. E., Triambak, S., … Wong, J. (2018). Reorientation-effect measurement of the first 2+ state in 12C: Confirmation of oblate deformation. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 777, 250–254. https://doi.org/10.1016/j.physletb.2017.12.009

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