arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.07479nucl-th
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Zr和Mo同位素的核形状演化和形状共存

Nuclear shape evolution and shape coexistence in Zr and Mo isotopes

Pankaj Kumar, Virender Thakur, Smriti Thakur, Vikesh Kumar, Shashi K. Dhiman

摘要:

采用协变密度泛函理论(CDFT),采用密度相关的点耦合参数集DD-PCX和DD-PC 1,并考虑可分离的配对相互作用,研究了偶偶$^{88-126}$ Zr和$^{88-126}$ Mo同位素的形状演化和形状共存现象。均方根偏差的结合能,两个中子分离能,两个中子分离能的微分变化,和均方根电荷半径,作为中子数的函数的结果,并与现有的实验数据进行比较。除了在$^{96-110}$ Zr同位素中扁长形状共存外,还研究了形状转变与观测值不连续性之间的相关性。钼同位素的电荷半径的平滑趋势被发现是由于三轴性软的表现。观察到的扁长和长扁长极小值分别与中子和质子费米能级附近的低单粒子能级密度有关。本计算还预测了$^{100}$ Zr同位素中的变形气泡结构。

英文摘要:

The phenomena of shape evolution and shape coexistence in even-even $^{88-126}$Zr and $^{88-126}$Mo isotopes is studied by employing covariant density functional theory (CDFT) with density-dependent point coupling parameter sets DD-PCX and DD-PC1, and with separable pairing interaction. The results for rms deviation in binding energies, two-neutron separation energy, the differential variation of two-neutron separation energy, and rms charge radii, as a function of neutron number, are presented and compared with available experimental data. In addition to the oblate-prolate shape coexistence in $^{96-110}$Zr isotopes, the correlation between shape transition and discontinuity in the observables are also examined. A smooth trend of charge radii in Mo isotopes is found to be due to the manifestation of triaxiality softness. The observed oblate and prolate minima are related to the low single-particle energy level density around the Fermi level of neutron and proton respectively. The present calculations also predict a deformed bubble structure in $^{100}$Zr isotope.

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