Moving away from singly-magic nuclei with Gorkov Green’s function theory
Moving away from singly-magic nuclei with Gorkov Green’s function theory
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用戈尔科夫·格林的函数理论摆脱单一魔核
DOI：
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发表时间：
2020
影响因子：
2.7
通讯作者：
Petr Navr'atil
中科院分区：
文献类型：
--
作者：
V. Somà;C. Barbieri;T. Duguet;Petr Navr'atil
提出了钙周围从氩到铬的七个完整同位素链的整体核特性（基态能量、均方根电荷半径和电荷密度分布）的从头计算。计算在二阶 Gorkov 自洽格林函数方法中进行，并使用两个最先进的二加三核哈密顿量，NN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{文档}$$NN$$\end{文档}+3N(lnl)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3N\text {(lnl)}$$\end{document} 和 NNLOsat\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{文档}$$_{\text {sat}}$$\end{文档}。发现与可用实验数据总体上良好一致，特别是当采用前一种（后一种）相互作用时，对于微分能量（电荷半径）而言。值得注意的是，中子幻数 N=28,32,34\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N=28,32,34$$\end{document} 按照实验趋势出现和发展。相比之下，配对差距被系统性地低估。还再现了电荷半径同位素依赖性的一般特征以及电荷密度分布。对于某些原子核，观察到理论描述的恶化，并将其归因于当前多体截断方案中（静态）四极相关性的低效解释。为了解决这些局限性，我们主张将形式主义扩展到结合旋转对称性的破缺，或者对自能进行随机采样。
Ab initio calculations of bulk nuclear properties (ground-state energies, root-mean-square charge radii and charge density distributions) are presented for seven complete isotopic chains around calcium, from argon to chromium. Calculations are performed within the Gorkov self-consistent Green’s function approach at second order and make use of two state-of-the-art two- plus three-nucleon Hamiltonians, NN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$NN$$\end{document}+3N(lnl)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3N\text {(lnl)}$$\end{document} and NNLOsat\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_{\text {sat}}$$\end{document}. An overall good agreement with available experimental data is found, in particular for differential energies (charge radii) when the former (latter) interaction is employed. Remarkably, neutron magic numbers N=28,32,34\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N=28,32,34$$\end{document} emerge and evolve following experimental trends. In contrast, pairing gaps are systematically underestimated. General features of the isotopic dependence of charge radii are also reproduced, as well as charge density distributions. A deterioration of the theoretical description is observed for certain nuclei and ascribed to the inefficient account of (static) quadrupole correlations in the present many-body truncation scheme. In order to resolve these limitations, we advocate the extension of the formalism towards incorporating breaking of rotational symmetry or, alternatively, performing a stochastic sampling of the self-energy.
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影响因子：
8.6
作者：
S. Bogner;H. Hergert;Jason D. Holt;A. Schwenk;S. Binder;A. Calci;J. Langhammer;R. Roth
通讯作者：
S. Bogner;H. Hergert;Jason D. Holt;A. Schwenk;S. Binder;A. Calci;J. Langhammer;R. Roth
影响因子：
8.6
作者：
Cipollone, A.;Barbieri, C.;Navratil, P.
通讯作者：
Navratil, P.
影响因子：
3.1
作者：
Carbone, Arianna;Cipollone, Andrea;Polls, Artur
通讯作者：
Polls, Artur
具有三体相互作用的多体传播子理论：奇异开壳层同位素的路径
DOI：
10.1088/1742-6596/529/1/012005
发表时间：
2014
期刊：
Conference Series
影响因子：
--
作者：
Barbieri C
通讯作者：
Barbieri C