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arXiv 2209.09463nucl-thnucl-ex
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基于相对论能量密度泛函的镉同位素形状共存和入侵态的集体模型描述

Collective-model description of shape coexistence and intruder states in cadmium isotopes based on a relativistic energy density functional

K. Nomura, K. E. Karakatsanis

摘要:

利用基于核密度泛函理论的集体模型,对偶偶$^{108-116}$ Cd同位素的低能结构进行了分析.光谱性质计算通过求解三轴四极集体哈密顿量,与参数确定的约束自洽平均场计算内的相对论Hartree-Bogoliubov方法采用通用的能量密度功能和配对力。集体哈密顿再现观察到的四极声子态的振动特性,这是基于适度变形的平衡最小值的平均场势能面。此外,计算产生了一个低洼的激发$0^+$带和一个$γ$振动带,与变形的局部最低能量接近基态,与这些带的经验解释为入侵者带一致。观察到的能谱、$B(E2)$和$ρ^2(E0)$值一般都能很好地再现。

英文摘要:

Low-energy structure of even-even $^{108-116}$Cd isotopes is analyzed using a collective model that is based on the nuclear density functional theory. Spectroscopic properties are computed by solving the triaxial quadrupole collective Hamiltonian, with parameters determined by the constrained self-consistent mean-field calculations within the relativistic Hartree-Bogoliubov method employing a universal energy density functional and a pairing force. The collective Hamiltonian reproduces the observed quadrupole phonon states of vibrational character, which are based on the moderately deformed equilibrium minimum in the mean-field potential energy surface. In addition, the calculation yields a low-lying excited $0^+$ band and a $γ$-vibrational band that are associated with a deformed local minimum close in energy to the ground state, consistently with the empirical interpretation of these bands as intruder bands. Observed energy spectra, $B(E2)$, and $ρ^2(E0)$ values are, in general, reproduced reasonably well.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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