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

该项目旨在开发核DFT计算基础设施，以便对N~Z核中的对相关进行有意义的分析。这将需要扩展现有的方法，以允许质子和中子准粒子的任意混合，从而给出所有同位旋通道中成对状态的一致描述。正如我们从之前的博士生Antonio Romero的工作中了解到的那样，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。这项工作将需要对核DFT的同位旋混合形式进行解析推导，用现有的DFT代码实现相关元素，对结果进行基准测试，并在核图的N=Z线周围的核中进行计算。系统地确定可测量的观测物，主要与低洼集体状态之间的能量和跃迁速率有关，将把理论发展与约克的实验计划联系起来。此外，对传输速率的研究将指导未来具有挑战性的实验，这些实验可能针对这第二类可观察性。

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.