Nuclear ground states in a consistent implementation of the time-dependent density matrix approach
Nuclear ground states in a consistent implementation of the time-dependent density matrix approach
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DOI：
10.1103/physrevc.103.064304
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发表时间：
2021-01
影响因子：
3.1
通讯作者：
M. Barton;P. Stevenson;A. Rios
中科院分区：
文献类型：
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作者：
M. Barton;P. Stevenson;A. Rios
背景：核理论中的含时技术通常依赖于平均场或Hartree-Fock假设。含时密度矩阵（TDDM）理论中的超越平均场动力学计算经常会引起对称性限制，而忽略了平均场和诱导相互作用之间的联系。目的：我们研究了原子核从A = 12到A = 24的TDDM方法中获得的基态，包括有和没有内禀形变的偶-偶和奇-偶原子核的例子。我们克服了以前的限制，使用三维模拟和采用密度无关的Skyrme相互作用自洽。研究方法：从Hartree-Fock解出发，通过在真实的时间中引入超越平均场项，得到了相关基态.结果：我们发现，在这种方法中，相关性占总能量的14%-5%。半径通常不受引入超均值场相关性的影响。大的核关联熵与大的关联能有关。通过所有测量，12 C是所考虑的质量区域中最相关的同位素。结论：我们的工作是一个一致的实施TDDM技术应用到核反应的起点。我们的研究结果表明，结构中的相关效应很小，但超越平均场动力学模拟可以提供对几个感兴趣的问题的洞察。DOI：
Background: Time-dependent techniques in nuclear theory often rely on mean-field or Hartree-Fock descrip-tions. Beyond-mean-field dynamical calculations within the time-dependent density matrix (TDDM) theory have often invoked symmetry restrictions and ignored the connection between the mean field and the induced interaction. Purpose: We study the ground states obtained in a TDDM approach for nuclei from A = 12 to A = 24, including examples of even-even and odd-even nuclei with and without intrinsic deformation. We overcome previous limitations using three-dimensional simulations and employ density-independent Skyrme interactions self-consistently. Methods: The correlated ground states are found starting from the Hartree-Fock solution, by adiabatically including the beyond-mean-field terms in real time. Results: We find that, within this approach, correlations are responsible for ≈ 4–5% of the total energy. Radii are generally unaffected by the introduction of beyond-mean-field correlations. Large nuclear correlation entropies are associated with large correlation energies. By all measures, 12 C is the most correlated isotope in the mass region considered. Conclusions: Our work is the starting point of a consistent implementation of the TDDM technique for applications into nuclear reactions. Our results indicate that correlation effects in structure are small, but beyond-mean-field dynamical simulations could provide insight into several issues of interest. DOI: