“…The way of fixing the best set of parameters in the Hamiltonian is to carry out a least-square fit procedure of the excitation energies of selected states Refs. [26,27,28,29,30,31,32,33,34,35,36,37,38]. Finally, it is worth noting that in Ref.…”
A systematic study of isotope chains in the rare-earth region is presented. Dy, energy levels, E2 transition rates, and two-neutron separation energies are described by using the most general ͑up to two-body terms͒ interacting boson model ͑IBM͒ Hamiltonian. For each isotope chain a general fit is performed in such a way that all parameters but one are kept fixed, to describe the whole chain. In this region, nuclei evolve from spherical to deformed shapes and a method based on catastrophe theory, in combination with a coherent-state analysis to generate the IBM energy surfaces, is used to identify critical phase transition points.
“…The way of fixing the best set of parameters in the Hamiltonian is to carry out a least-square fit procedure of the excitation energies of selected states Refs. [26,27,28,29,30,31,32,33,34,35,36,37,38]. Finally, it is worth noting that in Ref.…”
A systematic study of isotope chains in the rare-earth region is presented. Dy, energy levels, E2 transition rates, and two-neutron separation energies are described by using the most general ͑up to two-body terms͒ interacting boson model ͑IBM͒ Hamiltonian. For each isotope chain a general fit is performed in such a way that all parameters but one are kept fixed, to describe the whole chain. In this region, nuclei evolve from spherical to deformed shapes and a method based on catastrophe theory, in combination with a coherent-state analysis to generate the IBM energy surfaces, is used to identify critical phase transition points.
“…The results are shown in TableII together with the experimental data [38][39][40][41][42][43]. The arrangement of Table II is the same as that in Table I.…”
Section: Applications To Other Deformed Rare-earth Nucleimentioning
confidence: 99%
“…We have expanded our work to other deformed nuclei, namely 154 Sm, 156−160 Gd, 160−162 Dy, where E1 experimental data are available. The results are shown in TableII together with the experimental data [38][39][40][41][42][43]. The arrangement of Table II is the same as that in Table I.…”
Section: Applications To Other Deformed Rare-earth Nucleimentioning
“…The smaller value of a 4 for the negative parity states reflects an increase of moment of inertia for the negative parity states due to octupole deformation, an effect which has also been observed in Uranium isotopes [24]. The spectrum of the spdf SU( 3) is compared with data [21,25,26] in Fig. 1.…”
Comprehensive evidences of the SU(3) limit in the spdf interacting boson model, a dynamical symmetry describing octupole vibration in rotatonal nucleus, are found in the spectrum, E2 and E1 transition rates, and relative intensities in 158 Gd. This gives a good example of rotational nucleus with octupole vibration in rare-earth region.
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