Nuclear Structure from the In-Medium Similarity Renormalization Group
Nuclear Structure from the In-Medium Similarity Renormalization Group
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DOI：
10.1088/1742-6596/1041/1/012007
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发表时间：
2018-05
期刊：
影响因子：
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通讯作者：
H. Hergert;Jiangming Yao;T. Morris;N. Parzuchowski;S. Bogner;J. Engel
中科院分区：
文献类型：
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作者：
H. Hergert;Jiangming Yao;T. Morris;N. Parzuchowski;S. Bogner;J. Engel
近年来，从第一性原理描述核结构和动力学的努力取得了显著进展。轻原子核的精确方法现在能够包括连续自由度，并在同一基础上处理结构和反应，并且已经开发了多个近似的，计算效率高的多体方法，可以常规应用于中等质量的原子核。这使得我们有可能从手征有效场论中面对现代核相互作用，手征有效场论植根于量子色动力学，具有丰富的实验数据。在这里，我们讨论这些有效的新的多体方法之一，在介质相似重整化群（IMSRG），及其在现代核结构理论的应用。IMSRG通过连续的幺正变换以二次量子化的形式演化核多体哈密顿量，该变换可以用多项式计算来实现。通过适当选择的生成器，我们将配置空间中的哈密顿量的矩阵表示驱动为特定形状，例如，实现低能量和高能量尺度的解耦，或者提取给定原子核的能量本征值。我们提出了选定的结果从多参考IMSRG（MR-IMSRG）计算开壳层原子核，以及证明的原则应用程序的内在变形的中等质量的核。我们讨论的成功和前景合并的（MR-）IMSRG与多体方法，从组态相互作用的密度矩阵重整化群，实现一个有效的同时描述的动态和静态的相关性在原子核的目标。
Efforts to describe nuclear structure and dynamics from first principles have advanced significantly in recent years. Exact methods for light nuclei are now able to include continuum degrees of freedom and treat structure and reactions on the same footing, and multiple approximate, computationally efficient many-body methods have been developed that can be routinely applied for medium-mass nuclei. This has made it possible to confront modern nuclear interactions from Chiral Effective Field Theory, that are rooted in Quantum Chromodynamics with a wealth of experimental data. Here, we discuss one of these efficient new many-body methods, the In-Medium Similarity Renormalization Group (IMSRG), and its applications in modern nuclear structure theory. The IMSRG evolves the nuclear many-body Hamiltonian in second-quantized form through continuous unitary transformations that can be implemented with polynomial computational effort. Through suitably chosen generators, we drive the matrix representation of the Hamiltonian in configuration space to specific shapes, e.g., to implement a decoupling of low-and high-energy scales, or to extract energy eigenvalues for a given nucleus. We present selected results from Multireference IMSRG (MR-IMSRG) calculations of open-shell nuclei, as well as proof-of-principle applications for intrinsically deformed medium-mass nuclei. We discuss the successes and prospects of merging the (MR-)IMSRG with many-body methods ranging from Configuration Interaction to the Density Matrix Renormalization Group, with the goal of achieving an efficient simultaneous description of dynamic and static correlationsin atomic nuclei.