论文标题
DIRAC振荡器：核结构计算的替代基础
The Dirac oscillator: an alternative basis for nuclear structure calculations
论文作者
论文摘要
背景：自七十多年前以来，核结构的基石是核结构的基石。在本文中，我们介绍了---或更重要的是 - “ Dirac振荡器”，“ Dirac振荡器”是一个完全相对论的基础，具有普通谐波振荡器的所有所需属性，同时自然结合了强旋转轨道耦合。 目的：要评估我们的知识 - 第一次 - - 在协方差密度功能理论框架内解决核结构问题的dirac振荡器基础的力量和灵活性。 Methods: Self-consistent calculations of binding energies and ground-state densities for a selected set of doubly-magic magic are performed using the Dirac-oscillator basis and are then compared against results obtained with the often-used Runge-Kutta method. 结果：使用使用runge-kutta方法得出的dirac振荡器基础获得的结果获得的结果，并提出了对具有轴向对称系统的系统的清晰路径。 结论：尽管自开始以来，具有自旋轨道校正的三维谐波振荡器一直是核壳模型的主食，但核物理界实际上未知DIRAC振荡器。在本文中，我们说明了狄拉克振荡器的功率和灵活性，并建议对系统进行扩展，而无需按照核激发的约束计算而需要的球形对称性。
Background: The isotropic harmonic oscillator supplemented by a strong spin-orbit interaction has been the cornerstone of nuclear structure since its inception more than seven decades ago. In this paper we introduce---or rather re-introduced---the "Dirac Oscillator", a fully relativistic basis that has all the desired attributes of the ordinary harmonic oscillator while naturally incorporating a strong spin-orbit coupling. Purpose: To assess---to our knowledge for the first time---the power and flexibility of the Dirac Oscillator basis in the solution of nuclear structure problems within the framework of covariant density functional theory. Methods: Self-consistent calculations of binding energies and ground-state densities for a selected set of doubly-magic magic are performed using the Dirac-oscillator basis and are then compared against results obtained with the often-used Runge-Kutta method. Results: Results obtained using the Dirac oscillator basis reproduced with high accuracy those derived using the Runge-Kutta method and suggest a clear path for a generalization to systems with axial symmetry. Conclusions: Although the three-dimensional harmonic oscillator with spin-orbit corrections has been the staple of the nuclear shell model since the beginning, the Dirac oscillator is practically unknown among the nuclear physics community. In this paper we illustrate the power and flexibility of the Dirac oscillator and suggest extensions to the study of systems without spherical symmetry as required in constrained calculations of nuclear excitations.
