Abstract
Nuclear structure of the Po and Rn isotopes is theoretically studied in terms of the spherical shell model with the monopole- and quadrupole-pairing plus quadrupole- quadrupole effective interaction. The experimental energy levels of low-lying states are well reproduced. The shell model results are examined in detail in a pair-truncated shell model. The analysis reveals the alignment of two protons in the 0h9/2 orbital at spin 8.
Highlights
Low-lying states in the light actinide region are successfully interpreted in terms of a few valence particles or holes with respect to the doubly magic nucleus 208Pb
Calculated energy levels are compared with the experimental data and wave functions are analyzed in terms of a pair truncated shell model
It is found that the valence neutron excitation is responsible for the low-lying states, while the effect of the alignment of two 0h9/2 protons becomes apparent above spin 8
Summary
Low-lying states in the light actinide region are successfully interpreted in terms of a few valence particles or holes with respect to the doubly magic nucleus 208Pb. For example, the measured magnetic moments of the isomeric 8+1 states in 206−214Rn were assigned to be the proton (0h9/2) configurations to these states [1]. The low-lying near-yrast states were analyzed in terms of the interacting-bosonapproximation plus two quasi-particle model [2], where one of the bosons is replaced by a pair of nucleons coupled to angular momentum J ≥ 4. Many experimental investigations have been made for the low-lying states, and for the high-spin states in this mass region [3,4,5,6]. Calculated energy levels are compared with the experimental data and wave functions are analyzed in terms of a pair truncated shell model
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