Bulg. J. Phys. vol.44 no.4 (2017), pp. 362-371

Global Correlations for Low-Lying Collective 2+ States

S. Pittel1, Z.Z. Qin2, Y. Lei3, R. Bijker4
1Bartol Research Institute and Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
2School of Science, Southwest University of Science and Technology, Mianyang 621900, China
3Key laboratory of Neutron Physics, Institute of Nuclear Physics and Chemistry, China Academy of Engineering Physics, Mianyang 621900, China
4Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, A.P. 70-543, 04510 Mexico, D.F., Mexico
Abstract. We show that both the triaxial rotor model and the anharmonic vibrator model with phonon mixing exhibit a global correlation between the quadrupole moments of the two lowest 2+ states in collective nuclei, which had previously been observed in experimental data across the periodic table. We then derive other electromagnetic properties for these two models of nuclear structure and compare them with experimental data. We find that both robustly describe the data over the region of nuclei for which the models are applicable, including many that they have in common. We then show that there seems to exist a robust orthogonal transformation between these two models for realistic nuclear systems, suggesting that these two seemingly diverse descriptions of quadrupole collective phenomena seem to act in a similar model space and may therefore have a common origin.

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