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arXiv 1709.01088nucl-thhep-exhep-phnucl-ex
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Gamow-Teller双跃迁及其与无中微子$ββ$衰变的关系

Double Gamow-Teller transitions and its relation to neutrinoless $ββ$ decay

Noritaka Shimizu, Javier Menéndez, Kentaro Yako

备注：
6 pages, 5 figures, published version
发表信息：
Phys. Rev. Lett. 120, 142502 (2018)
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摘要：

本文采用最先进的大尺度核壳模型计算方法研究了$^{48}$ Ca的双Gamow-Teller（DGT）强度分布。分析表明，DGT巨共振的质心能量主要取决于等矢量对相互作用，而共振宽度则对等oscillation对相互作用更为敏感。配对关联在无中微子$ββ$（$0νββ$）衰变中也很关键。我们发现$^{48}$ Ca DGT巨共振的质心能量和宽度与$0νββ$衰变核矩阵元的%值之间有一个简单的关系。更一般地说，我们观察到一个非常好的线性相关性之间的DGT过渡到基态的最终核和$0νββ$衰变矩阵元素。的相关性，这起源于占主导地位的短程字符的两个过渡，延伸到较重的系统，包括几个$ββ$发射器，并在能量密度泛函的结果也持有。我们的研究结果表明，DGT实验可以是一个非常有价值的工具，以获得信息的价值$0νββ$衰变核基质元素。

英文摘要：

We study the double Gamow-Teller (DGT) strength distribution of $^{48}$Ca with state-of-the-art large-scale nuclear shell model calculations. Our analysis shows that the centroid energy of the DGT giant resonance depends mostly on the isovector pairing interaction, while the resonance width is more sensitive to isoscalar pairing. Pairing correlations are also key in neutrinoless $ββ$ ($0νββ$) decay. We find a simple relation between the centroid energy and width of the $^{48}$Ca DGT giant resonance and %the value of the $0νββ$ decay nuclear matrix element. More generally, we observe a very good linear correlation between the DGT transition to the ground state of the final nucleus and the $0νββ$ decay matrix element. The correlation, which originates on the dominant short-range character of both transitions, extends to heavier systems including several $ββ$ emitters, and also holds in energy-density functional results. Our findings suggest that DGT experiments can be a very valuable tool to obtain information on the value of $0νββ$ decay nuclear matrix elements.

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