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Multipole modes of excitation in triaxially deformed superfluid nuclei

机译:三轴变形超流核激发的多极模式

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Background: The five-dimensional quadrupole collective model based on energy density functionals (EDFs) has often been employed to treat long-range correlations associated with shape fluctuations in nuclei. Our goal is to derive the collective inertial functions in the collective Hamiltonian by the local quasiparticle random-phase approximation (QRPA) that correctly takes into account time-odd mean-field effects. Currently, a practical framework to perform the QRPA calculation with the modern EDFs on the (β,γ ) deformation space is not available. Purpose: Toward this goal, we develop an efficient numerical method to perform the QRPA calculation on the (β,γ ) deformation space based on the Skyrme EDF. Methods:We use the finite amplitude method (FAM) for the efficient calculation of QRPA strength functions for multipole external fields. We construct a computational code of FAM-QRPA in the three-dimensional Cartesian coordinate space to handle triaxially deformed superfluid nuclei. Results:We validate our newcode by comparing our results with former QRPAcalculations for axially symmetric nuclei. Isoscalar quadrupole strength functions in triaxial superfluid nuclei ~(110)Ru and ~(190)Pt are obtained within a reasonable computational cost. Conclusions: QRPA calculations for triaxially deformed superfluid nuclei based on the Skyrme EDF are achieved with the help of the FAM. This is an important step toward the microscopic calculation of collective inertial functions of the local QRPA.
机译:背景:通常采用基于能量密度泛函(EDF)的五维四极限集体模型来治疗与核中的形状波动相关的远程相关性。我们的目标是通过当地的Quasiparticle随机相近似(QRPA)来得出集体Hamiltonian中的集体惯性功能,正确考虑到时间奇观场景效果。目前,没有在(β,γ)变形空间上使用现代EDF执行QRPA计算的实际框架。目的:对此目标,我们开发了一种高效的数值方法,以对基于Skyrme EDF的(β,γ)变形空间进行QRPA计算。方法:我们使用有限幅度方法(FAM)进行多极外部字段的QRPA强度函数的有效计算。我们在三维笛卡尔坐标空间中构建FAM-QRPA的计算代码,以处理三轴变形的超流核。结果:我们通过将我们的结果与前QRPAlculations进行比较来验证我们的Newcode,用于轴向对称的核。在三轴超流核〜(110)Ru和〜(190)中的isoscalar四极强作用在合理的计算成本中获得。结论:根据FAM的帮助,实现了基于Skyrme EDF的三轴变形超流核的QRPA计算。这是朝向局部QRPA的集体惯性功能的显微函数的重要一步。

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