论文标题
变形的中等内相似性重归其化组
Deformed in-medium similarity renormalization group
论文作者
论文摘要
我们已经为开放壳核开发了一个变形的中等相似性重归化组（IMSRG）。这是变形的Hartree-fock（HF）基础上的单引血IMSRG。变形波功能在描述变形核方面更有效。损坏的球形对称性需要通过角动量投影来恢复，这很昂贵。角动量主要捕获静态相关性，可以通过HF状态的投影来估计。在这项工作中，我们进行了变形的IMSRG计算，并添加了投影HF作为领先顺序近似的相关能量。作为测试地面，我们已经计算出使用优化的手性交互NNLO $ _ {\ rm opt} $的变形$^{8,10} \ rm为$同位素。结果通过无核壳模型和价值空间IMSRG计算进行基准测试。然后，我们系统地研究了地面能量，并从光铍到中等质量镁的均匀同位素的均匀半径。计算出的能量通过指数形式将其外推到无限的基础空间，并将其与外推价空间IMSRG结果和可用的实验数据进行了比较。
We have developed an {\it ab initio} deformed in-medium similarity renormalization group (IMSRG) for open-shell nuclei. This is a single-reference IMSRG in deformed Hartree-Fock (HF) basis. Deformed wave functions are more efficient in describing deformed nuclei. The broken spherical symmetry needs to be restored by angular momentum projection, which is computational expensive. The angular momentum mainly capture the static correlations and can be estimated by the projection of the HF state. In this work, we do deformed IMSRG calculation and add the correlation energy from projected HF as a leading order approximation. As the test ground, we have calculated the deformed $^{8,10}\rm Be$ isotopes with the optimized chiral interaction NNLO$_{\rm opt}$. The results are benchmarked with the no-core shell model and valence space IMSRG calculations. Then we systematically investigated the ground-state energies and charge radii of even-even isotopes from light beryllium to medium-mass magnesium. The calculated energies are extrapolated to infinite basis space by an exponential form, and compared with the extrapolated valence-space IMSRG results and experimental data available.
