Nuclear DFT description of proton-neutron pairing correlations in N~Z nuclei

该项目的目标是发展核密度泛函计算基础设施，以便对N~Z核中的对关联进行有意义的分析。这将需要扩展现有的方法，以允许任意混合的质子和中子准粒子，从而在所有的同位旋通道的配对状态的描述是一致的。正如我们从以前的博士生Antonio Romero的工作中所了解到的那样，该方法的关键特征应该是同时恢复同位旋，角动量和粒子数对称性。这项工作将需要分析推导的同位旋混合形式主义的核DFT与配对，实施相关元素与现有的DFT代码，基准的结果，并执行计算的核周围的N=Z线的核图表。系统地确定可测量的可观测量，主要与能量和低集体态之间的跃迁速率有关，将把理论发展与约克的实验计划联系起来。此外，对转移率的研究将指导未来针对第二类可观测量的具有挑战性的实验。

The project aims to develop nuclear DFT computational infrastructure that will allow for meaningful analyses of pair correlations in N~Z nuclei. This will require extensions of the existing approaches to allow for arbitrary mixing of proton and neutron quasiparticles and thus give a consistent description of paired states in all isospin channels. As we have learned from the work of the previous PhD student Antonio Romero, the key feature of the approach should be the simultaneous restoration of the isospin, angular-momentum, and particle-number symmetries. The work will entail analytical derivations of the isospin-mixing formalism of nuclear DFT with pairing, implementing the relevant elements with the existing DFT code, benchmarking the results, and performing calculations in nuclei around the N=Z line of the nuclear chart. Systematic determination of measurable observables, principally related to the energies and transition rates between low-lying collective states, will link theoretical developments to the experimental program at York. In addition, studies of pair-transfer rates will guide future challenging experiments that could target this second class of observables.