将EDF方法引入从头算框架。基于MR-IMSRG预处理哈密顿算子的PGCM-PT形式化
Rooting the EDF method into the ab initio framework. PGCM-PT formalism based on MR-IMSRG pre-processed Hamiltonians
摘要：
最近，从头算技术已成功地连接到传统的价空间壳层模型。在这样做时，他们可以明确地提供从头算壳模型有效的哈密顿量或限制建设的经验。在目前的工作中，遵循类似的路径的核能密度泛函（EDF）方法的可能性进行了分析。为了实现这种连接，两种理论技术是有用的：最近提出的从头算PGCM-PT多体形式主义和核哈密顿量的MR-IMSRG预处理。基于正式的参数和数值结果，可能的新的研究路线进行了简要的讨论，即计算从头算EDF有效哈密顿量在低计算成本，约束经验的，或直接通过有效场论，仍有待发明。
英文摘要：
Recently, ab initio techniques have been successfully connected to the traditional valence-space shell model. In doing so, they can either explicitly provide ab initio shell-model effective Hamiltonians or constrain the construction of empirical ones. In the present work, the possibility to follow a similar path for the nuclear energy density functional (EDF) method is analyzed. For this connection to be actualized, two theoretical techniques are instrumental: the recently proposed ab initio PGCM-PT many-body formalism and the MR-IMSRG pre-processing of the nuclear Hamiltonian. Based on both formal arguments and numerical results, possible new lines of research are briefly discussed, namely to compute ab initio EDF effective Hamiltonians at low computational cost, to constrain empirical ones or to produce them directly via an effective field theory that remains to be invented.
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