Neutrinoless \(\beta \beta \)-decay in DCEQTDA

IF 2.6 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR
C. De Conti, V. dos S. Ferreira, A. R. Samana, C. A. Barbero, F. Krmpotić
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Abstract

We have recently developed a nuclear model, which is a natural extension of the pn-QRPA model, specially designed to describe double charge exchange (DCE) processes generated by two-body DCE transition operators. It is based on the Quasiparticle Tamm–Dancoff approximation (QTDA) for pn and 2p2n excitations in intermediate and final nuclei, respectively, and will be called DCEQTDA. As such, this model, having the same number of free parameters as the pn-QRPA, also brings into play the excitations of four quasiparticles to build up the final nuclear states, which are then used to evaluate the nuclear matrix elements (NMEs) for all \(0^+\) and \(2^+\) final states, including resonances, and not just for the ground state as in pn-QRPA. In addition, it allows us to evaluate: (a) the values of \(Q_{{\beta }{\beta }}\), (b) the excitation energies in final nuclei, and (c) the DCE sum rules, which are fulfilled in the DCEQTDA. So far, this model has been used mainly to calculate double beta decays with the emission of two neutrinos (\(2\nu \beta \beta \)-decay). Here, we extend it to the study of these processes when no neutrinos are emitted (\(0\nu \beta \beta \)-decay), evaluating them in a series of nuclei, but paying special to: (i) \(^{76}\)Se, which have been measured recently in the GERDA and MAJORANA experiments, and (ii) \(^{124}\)Te, for which the first direct observation of the double electron capture \(2\nu \) has been performed with the XENON1T dark matter detector. We obtain good agreement with the data for both the ground state and the excited states. The validity of the DCEQTDA model is checked by comparing the calculation with the experimental data for the \(2\nu {\beta }{\beta }\) NMEs, and for the \(Q_{{\beta }{\beta }}\), in a series of nuclei.

Abstract Image

DCEQTDA中的中微子\(\beta \beta \)衰变
我们最近开发了一个核模型,它是pn-QRPA模型的自然扩展,专门用于描述由两体DCE跃迁算子产生的双电荷交换(DCE)过程。它是基于准粒子tam - dancoff近似(QTDA)分别在中间和最终核的pn和2p2n激发,并将其称为DCEQTDA。因此,该模型具有与pn-QRPA相同数量的自由参数,也引入了四个准粒子的激发来建立最终核状态,然后用于评估所有\(0^+\)和\(2^+\)最终状态(包括共振)的核矩阵元素(NMEs),而不仅仅是pn-QRPA中的基态。此外,它允许我们计算:(a) \(Q_{{\beta }{\beta }}\)的值,(b)最终核的激发能,(c) DCE和规则,这些规则在DCEQTDA中得到满足。到目前为止,该模型主要用于计算发射两个中微子的双β衰变(\(2\nu \beta \beta \) -衰变)。在这里,我们将其扩展到没有中微子发射(\(0\nu \beta \beta \) -衰变)的这些过程的研究,在一系列原子核中评估它们,但特别注意:(i) \(^{76}\) Se,最近在GERDA和MAJORANA实验中测量到,以及(ii) \(^{124}\) Te,其中首次直接观察到双电子捕获\(2\nu \)已经用XENON1T暗物质探测器进行了。所得结果与基态和激发态的数据吻合较好。通过对一系列原子核中\(2\nu {\beta }{\beta }\) NMEs和\(Q_{{\beta }{\beta }}\) NMEs的计算与实验数据的比较,验证了DCEQTDA模型的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
The European Physical Journal A
The European Physical Journal A 物理-物理:核物理
CiteScore
5.00
自引率
18.50%
发文量
216
审稿时长
3-8 weeks
期刊介绍: Hadron Physics Hadron Structure Hadron Spectroscopy Hadronic and Electroweak Interactions of Hadrons Nonperturbative Approaches to QCD Phenomenological Approaches to Hadron Physics Nuclear and Quark Matter Heavy-Ion Collisions Phase Diagram of the Strong Interaction Hard Probes Quark-Gluon Plasma and Hadronic Matter Relativistic Transport and Hydrodynamics Compact Stars Nuclear Physics Nuclear Structure and Reactions Few-Body Systems Radioactive Beams Electroweak Interactions Nuclear Astrophysics Article Categories Letters (Open Access) Regular Articles New Tools and Techniques Reviews.
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