Reliability of QRPA approach to ββ and β decays

WORKSHOP ON CALCULATION OF DOUBLE-BETA-DECAY MATRIX ELEMENTS (MEDEX’19) Pub Date : 2019-10-25 DOI:10.1063/1.5130988

J. Terasaki, Y. Iwata

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Abstract

We investigate the reliability of the quasiparticle random-phase approximation (QRPA) in application to the nuclear matrix element (NME) of the double-β decay of 136Xe. We examine the dependence of the NME of the two-neutrino double-β (2νββ) decay on the choice of the set of the intermediate-state energies, spectrum of the intermediate nucleus, the Gamow-Teller (GT) strength distribution, the GT strengths of the β decays of a nearby nucleus, and a higher-order term of the 2νββ NME recently proposed. The QRPA approach is a good approximation to the decay instance of 136Xe → 136Ba.We investigate the reliability of the quasiparticle random-phase approximation (QRPA) in application to the nuclear matrix element (NME) of the double-β decay of 136Xe. We examine the dependence of the NME of the two-neutrino double-β (2νββ) decay on the choice of the set of the intermediate-state energies, spectrum of the intermediate nucleus, the Gamow-Teller (GT) strength distribution, the GT strengths of the β decays of a nearby nucleus, and a higher-order term of the 2νββ NME recently proposed. The QRPA approach is a good approximation to the decay instance of 136Xe → 136Ba.

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QRPA方法对ββ和β衰变的可靠性

我们研究了准粒子随机相位近似(QRPA)在136Xe双β衰变核矩阵元(NME)中的可靠性。我们研究了双中微子双-β (2νββ)衰变的NME与中间态能量集的选择、中间核的谱、Gamow-Teller (GT)强度分布、附近核的β衰变的GT强度以及最近提出的2νββ NME的高阶项的关系。QRPA方法是136Xe→136Ba衰变实例的一个很好的近似。我们研究了准粒子随机相位近似(QRPA)在136Xe双β衰变核矩阵元(NME)中的可靠性。我们研究了双中微子双-β (2νββ)衰变的NME与中间态能量集的选择、中间核的谱、Gamow-Teller (GT)强度分布、附近核的β衰变的GT强度以及最近提出的2νββ NME的高阶项的关系。QRPA方法是136Xe→136Ba衰变实例的一个很好的近似。

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