论文标题
逼真的外壳模型中中微子双β衰减矩阵元素的计算
The calculation of the neutrinoless double-beta decay matrix element within the realistic shell model
论文作者
论文摘要
我们通过逼真的壳模型来考虑中上述双β衰减过程的核基质元素的计算，该过程考虑了光中的交换通道。为此，我们从逼真的核子核子电位开始，然后在多体扰动理论中得出有效的壳型汉密尔顿和中微子双β衰变操作员。我们专注于研究这种衰减过程的有效壳模型操作员的扰动性能，旨在建立我们的预测的可靠性。还考虑了所谓的短距离相关性以及对有效的壳模型操作员（后者在多个价值核能系统中引入的后者）校正的贡献。我们研究的受试者是一些候选中性秒双β衰变检测的候选者，质量间隔从a = 48到a = 136，我们的自旋和自旋依赖性依赖性衰减特性在以前的作品中研究了。我们的结果最终将与同一组核的壳型计算进行比较。
We approach the calculation of the nuclear matrix element of the neutrinoless double-beta decay process, considering the light-neutrino-exchange channel, by way of the realistic shell model. To this end, we start from a realistic nucleon-nucleon potential and then derive the effective shell-model Hamiltonian and neutrinoless double-beta decay operator within the many-body perturbation theory. We focus on investigating the perturbative properties of the effective shell-model operator of such a decay process, aiming to establish the degree of reliability of our predictions. The contributions of the so-called short-range correlations and of the correction of Pauli-principle violations to the effective shell-model operator, the latter introduced in many-valence nucleon systems, are also taken into account. The subjects of our study are a few candidates to the neutrinoless double-beta decay detection, in a mass interval ranging from A=48 up to A=136, whose spin- and spin-isospin-dependent decay properties we have studied in previous works. Our results will be finally compared with shell-model calculations for the same set of nuclei.
