Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with chiral two- and three-nucleon forces
Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with chiral two- and three-nucleon forces
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DOI：
10.1103/physrevc.100.034310
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发表时间：
2019-01
影响因子：
3.1
通讯作者：
T. Miyagi;T. Abe;M. Kohno;P. Navrátil;R. Okamoto;T. Otsuka;N. Shimizu;Steven Ragnar Stroberg
中科院分区：
文献类型：
--
作者：
T. Miyagi;T. Abe;M. Kohno;P. Navrátil;R. Okamoto;T. Otsuka;N. Shimizu;Steven Ragnar Stroberg
$^{4}$He、$^{16}$O 和 $^{40}$Ca 的基态能量和半径是使用单一模型算子方法 (UMOA) 计算的。在本研究中，我们采用基于手性有效场理论的相似重正化群（SRG）演化的核子-核子（$NN$）和三核子（$3N$）相互作用。这是第一个同时具有 $NN$ 和 $3N$ 交互作用的 UMOA 计算。计算出的基态能量和半径与最近具有相同相互作用的{\it ab initio}结果一致。除了裸半径算子之外，我们还使用二体和三体 SRG 演化半径算子评估期望值。借助半径算子的高体演化，可以看出计算出的半径往往与 SRG 分辨率尺度无关。我们发现 SRG 演化对半径算子进行了微小的修改。
The ground-state energies and radii for $^{4}$He, $^{16}$O, and $^{40}$Ca are calculated with the unitary-model-operator approach (UMOA). In the present study, we employ the similarity renormalization group (SRG) evolved nucleon-nucleon ($NN$) and three-nucleon ($3N$) interactions based on the chiral effective field theory. This is the first UMOA calculation with both $NN$ and $3N$ interactions. The calculated ground-state energies and radii are consistent with the recent {\it ab initio} results with the same interaction. We evaluate the expectation values with two- and three-body SRG evolved radius operators, in addition to those with the bare radius operator. With the aid of the higher-body evolution of radius operator, it is seen that the calculated radii tend to be SRG resolution-scale independent. We find that the SRG evolution gives minor modifications for the radius operator.