Description of nuclear systems with a self-consistent configuration-mixing approach. II. Application to structure and reactions in even-even sd-shell nuclei
Description of nuclear systems with a self-consistent configuration-mixing approach. II. Application to structure and reactions in even-even sd-shell nuclei
复制标题
使用自洽配置混合方法描述核系统。
DOI：
10.1103/physrevc.95.044315
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发表时间：
2016
影响因子：
3.1
通讯作者：
J. Berger
中科院分区：
文献类型：
--
作者：
C. Robin;N. Pillet;M. Dupuis;J. L. Bloas;D. Arteaga;J. Berger
大约十年前就提出了针对原子核的变分多粒子多孔构型混合方法（MPMH）。虽然第一个应用很快就出现了，但该方法的完整形式主义的实现最近才完成并应用在[C. Robin、N. Pillet、D. Pena Arteaga 和 J.-F.伯杰，物理学家。 Rev. C 93, 024302 (2016)] 到 $^{12}$C 作为测试用例。本文的主要目的是继续该参考文献中发起的研究，以便对 MPMH 方法进行更严格的测试。为此，我们对偶偶 sd 壳核进行了系统研究。这些核的波函数被视为建立在sd壳轨道上的构型混合，并且核态的混合系数和单粒子波函数都是根据相同的变分原理一致确定的。计算是使用 D1S Gogny 力完成的。分析了各种基态特性。特别是，检查了波函数的相关内容和组成以及单粒子轨道和能量。还计算了结合能和电荷半径并与实验进行比较。还检查了第一激发态的描述，并将相应的跃迁密度用作计算非弹性电子和质子散射的输入。特别关注与系统相关性一致的单粒子状态优化的效果。在全球范围内，结果令人满意且令人鼓舞。特别是，电荷半径和激发能被很好地再现。然而，所选择的价空间截断方案妨碍了所研究的原子核中实现最大集体性。为了纠正这种情况，需要进一步改进该方法并提供更合适的交互。
The variational multiparticle-multihole configuration mixing approach (MPMH) to nuclei has been proposed about a decade ago. While the first applications followed rapidly, the implementation of the full formalism of this method has only been recently completed and applied in [C. Robin, N. Pillet, D. Pena Arteaga and J.-F. Berger, Phys. Rev. C 93, 024302 (2016)] to $^{12}$C as a test-case. The main objective of the present paper is to carry on the study that was initiated in that reference, in order to put the MPMH method to more stringent tests. To that aim we perform a systematic study of even-even sd-shell nuclei. The wave function of these nuclei is taken as a configuration mixing built on orbitals of the sd-shell, and both the mixing coefficients of the nuclear state and the single-particle wave functions are determined consistently from the same variational principle. The calculations are done using the D1S Gogny force. Various ground-state properties are analyzed. In particular, the correlation content and composition of the wave function as well as the single-particle orbitals and energies are examined. Binding energies and charge radii are also calculated and compared to experiment. The description of the first excited state is also examined and the corresponding transition densities are used as input for the calculation of inelastic electron and proton scattering. Special attention is paid to the effect of the optimization of the single-particle states consistently with the correlations of the system. Globally, the results are satisfying and encouraging. In particular, charge radii and excitation energies are nicely reproduced. However, the chosen valence-space truncation scheme precludes achieving maximum collectivity in the studied nuclei. Further refinement of the method and a better-suited interaction are necessary to remedy this situation.