Shape phase transitions in the interacting boson model: Phenomenological versus microscopic descriptions

Shape phase transitions in the interacting boson model: Phenomenological versus microscopic descriptions
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相互作用玻色子模型中的形状相变:现象学描述与微观描述

DOI:
10.1103/physrevc.85.054309
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发表时间:
2012-05
期刊:
影响因子:
3.1
通讯作者:
Otsuka, T.
Otsuka, T.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Nomura, K.;Guo, L.;Shimizu, N.;Otsuka, T.

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我们在质子 - 中子相互作用玻色子模型(IBM - 2)内研究偶 - 偶${}_{64}$钆和${}_{66}$镝同位素中的形状相变。IBM - 2哈密顿量的参数通过两种不同的方式确定:通常的唯象拟合
We investigate the shape phase transition in even-even ${}_{64}$Gd and ${}_{66}$Dy isotopes within the proton-neutron interacting boson model (IBM-2). The parameters of the IBM-2 Hamiltonian are fixed in two different ways: the usual phenomenological fitting calculation and the mapping of the constrained self-consistent mean-field calculation with a Skyrme energy density functional onto the appropriate boson system. Notable differences are found between the energy surfaces for the phenomenological and the mapped IBM-2. Key quantities for the collective structural evolution, including level energies, $B(\mathrm{E}2)$ values, quadrupole moments, and the two-neutron separation energies, are analyzed in comparison to the experimental data. We show that the transition in these quantities occurs rapidly with the neutron number in the IBM-2 phenomenology but is somewhat smeared out in the mapped IBM-2. The differences in the measurable quantities are consistent with what is suggested by the energy-surface analysis.
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