Nuclear Structure in China 2014
DOI: 10.1142/9789813109636_0031
IOP Publishing, Journal of Physics G: Nuclear and Particle Physics, 4(42), p. 045108
DOI: 10.1088/0954-3899/42/4/045108
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The structure of low-lying excitation states of even-even $N=40$ isotones is studied using a five-dimensional collective Hamiltonian with the collective parameters determined from the relativistic mean-field plus BCS method with the PC-PK1 functional in the particle-hole channel and a separable paring force in the particle-particle channel. The theoretical calculations can reproduce not only the systematics of the low-lying states along the isotonic chain but also the detailed structure of the spectroscopy in a single nucleus. We find a picture of spherical-oblate-prolate shape transition along the isotonic chain of $N=40$ by analyzing the potential energy surfaces. The coexistence of low-lying excited $0^+$ states has also been shown to be a common feature in neutron-deficient $N=40$ isotones. ; Comment: 13 pages, 11 figures