Renormalization of the Gamow-Teller operator within the realistic shell model
Renormalization of the Gamow-Teller operator within the realistic shell model
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DOI：
10.1103/physrevc.100.014316
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发表时间：
2018-12
影响因子：
3.1
通讯作者：
L. Coraggio;L. D. Angelis;T. Fukui;A. Gargano;N. Itaco;F. Nowacki
中科院分区：
文献类型：
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作者：
L. Coraggio;L. D. Angelis;T. Fukui;A. Gargano;N. Itaco;F. Nowacki
在核结构计算中，由于计算的需要，选择有限的模型空间，导致必须重整化哈密顿量以及任何跃迁算子。在这里，我们提出了一个现实的壳模型的框架内的Gamow-Teller算子的重整化过程和效果的研究。我们的有效壳模型运营商获得，从一个现实的核子核子势，通过多体微扰理论，以考虑到没有明确包括在所选的模型空间的自由度。理论上的有效壳模型的哈密顿量和过渡算子，然后在壳模型计算，其结果进行了比较与伽莫夫-泰勒过渡强度和双β半衰期的核，目前感兴趣的检测的中微子双β衰变过程中，在质量区间范围从A=48到A=136。我们表明，有效的运营商是能够定量再现的光谱和衰变性质，而不诉诸经验淬火既不是轴向耦合常数GA，也不是自旋和轨道旋磁因子。这应该评估应用目前的理论工具，这个问题的可靠性。
In nuclear structure calculations, the choice of a limited model space, due to computational needs, leads to the necessity to renormalize the Hamiltonian as well as any transition operator. Here, we present a study of the renormalization procedure and effects of the Gamow-Teller operator within the framework of the realistic shell model. Our effective shell-model operators are obtained, starting from a realistic nucleon-nucleon potential, by way of the many-body perturbation theory in order to take into account the degrees of freedom that are not explicitly included in the chosen model space. The theoretical effective shell-model Hamiltonian and transition operators are then employed in shell-model calculations, whose results are compared with data of Gamow-Teller transition strengths and double-beta half-lives for nuclei which are currently of interest for the detection of the neutrinoless double-beta decay process, in a mass interval ranging from A=48 up to A=136. We show that effective operators are able to reproduce quantitatively the spectroscopic and decay properties without resorting to an empirical quenching neither of the axial coupling constant gA, nor of the spin and orbital gyromagnetic factors. This should assess the reliability of applying present theoretical tools to this problematic.