氙、钡、铈和钕同位素中侵入者驱动的四极和十六极形变效应的稳定性
Stability of intruder-driven quadrupole and hexadecapole deformation effects in Xenon, Barium, Cerium and Neodymium isotopes
AI总结：
研究氙、钡、铈和钕同位素中侵入者驱动的四极和十六极形变效应稳定性，用二维生成坐标法结合Gogny力计算，发现相关耦合区域，分析量子涨落等影响，探讨侵入者轨道作用。
AI中文摘要：
采用二维生成坐标法，利用Gogny力对一系列中子数覆盖幻中子壳层闭合N = 82和N = 126的Xe、Ba、Ce和Nd同位素的轴向四极β₂和十六极β₄集体形变进行计算。用基础平均场构型表征系统预期动力学行为。发现并表征了四极和十六极自由度强耦合的两个区域。量子涨落在过渡区域软化了β₂和β₄的平均场基态值。来自β₄的基态关联能与来自β₂的相当，两者总计达可观的1.5 MeV。分析了一些同位素中的形状共存及其对第一激发态激发能的影响。最后讨论了第二个侵入者轨道在解释该区域一些原子核大形变参数中的作用。
英文摘要：
Two-dimensional Generator Coordinate Method calculations for the axial quadrupole $β_{2}$ and hexadecapole $β_{4}$ collective deformations are carried out with the Gogny force in a series of Xe, Ba, Ce and Nd isotopes with neutron numbers covering both magic neutron shell closures N=82 and N=126. The underlying mean-field configurations are used to characterize the expected dynamic behavior of the system. Two regions of strong coupling between the quadrupole and hexadecapole degrees of freedom are found and characterized. Quantum fluctuations soften the mean-field ground state values of $β_{2}$ and $β_{4}$ in transitional regions. The ground state correlation energy coming from $β_{4}$ is comparable in size to the one coming from $β_{2}$, and both together amount to a sizable 1.5 MeV. Shape coexistence in some isotopes and its impact in the excitation energy of the first excited state is analysed. Finally, the role of a second intruder orbital in the explanation of the large deformation parameters of some nuclei in the region is discussed.
