arXiv 2201.129832022-01nucl-th

核密度泛函理论有限振幅方法对双中微子双$β$衰变的整体计算

Global calculation of two-neutrino double-$β$ decay within the finite amplitude method in nuclear density functional theory

Nobuo Hinohara, Jonathan Engel

备注：: 16 pages, 5 figures
发表信息：: Phys. Rev. C 105, 044314 (2022)
DOI：: 10.1103/PhysRevC.105.044314

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摘要：

双中微子双β（$2νββ$）衰变被用来限制有效相互作用中的中子-质子部分，而有效相互作用又被用来计算无中微子双β衰变的核矩阵元，对它的观测将对基础物理学产生重要影响。我们仔细检查$2νββ$矩阵元素内的质子-中子准粒子随机相位近似与核能密度泛函。我们的工作与泛函，是适合全球的单β衰变半衰期和电荷交换巨共振能量，但不是$2νββ$半衰期本身，以评估所有重要的核，包括那些半衰期尚未测量的$2νββ$核矩阵元素。这样一个全面的评价，在大的模型空间，没有配置截断需要一个有效的计算方案，我们采用了双轮廓积分内的有限振幅方法。结果通常很好地再现了从半衰期中提取的核基质元素，在拟合程序中没有使用任何半衰期。我们提出了预测的矩阵元素在总共27个原子核的半衰期，仍然无法测量。

英文摘要：

Two-neutrino double-beta ($2νββ$) decay has been used to constrain the neutron-proton part of effective interactions, which in turn is used to compute the nuclear matrix elements for neutrinoless double-beta decay, the observation of which would have important consequences for fundamental physics. We carefully examine $2νββ$ matrix elements within the proton-neutron quasiparticle random-phase approximation with nuclear energy density functionals. We work with functionals that are fit globally to single-beta-decay half-lives and charge-exchange giant-resonance energies, but not to $2νββ$ half-lives themselves, to evaluate the $2νββ$ nuclear matrix elements for all important nuclei, including those whose half-lives have not yet been measured. Such a comprehensive evaluation in large model spaces without configuration truncation requires an efficient computational scheme; we employ a double contour integration within the finite amplitude method. The results generally reproduce the nuclear matrix element extracted from half-lives well, without the use of any of those half-lives in the fitting procedure. We present predictions of the matrix elements in a total of 27 nuclei with half-lives that are still unmeasured.

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