论文标题
在映射的相互作用的玻色子模型中，两次中性双double-$β$衰减
Two-neutrino double-$β$ decay in the mapped interacting boson model
论文作者
论文摘要
提出了基于基于核密度功能理论的相互作用玻色子模型（IBM）中的两双双$ $β$（$2νβ$）衰减矩阵元素的计算。使用通用能量密度函数（EDF）和配对相互作用的受约束自洽的平均场（SCMF）计算提供了势能表面，具有三轴四杆型四核度自由度的均匀自由度，以使其对应于$2νβ$衰落的初始和最终状态的均匀核心。然后将SCMF的能量表面映射到骨孔上，该过程确定了均匀的核的IBM Hamiltonian。相同的SCMF计算提供了中间奇数核以及Gamow-Teller和Fermi Transition Operators相互作用的玻色子效率 - 费米 - 特皮米象模型（IBFFM）的必要成分。基于EDF的IBM和IBFFM提供了每个核的激发光谱和电磁过渡速率的同时描述，以及单$β$和$β.β$衰减的特性。将计算出的$2νβ$ - 二十季核基质元素与实验和早期理论计算的元素进行了比较。
A calculation of two-neutrino double-$β$ ($2νββ$) decay matrix elements within the interacting boson model (IBM) that is based on the nuclear density functional theory is presented. The constrained self-consistent mean-field (SCMF) calculation using a universal energy density functional (EDF) and a pairing interaction provides potential energy surfaces with triaxial quadrupole degrees of freedom for even-even nuclei corresponding to the initial and final states of the $2νββ$ decays of interest. The SCMF energy surface is then mapped onto the bosonic one, and this procedure determines the IBM Hamiltonian for the even-even nuclei. The same SCMF calculation provides the essential ingredients of the interacting boson fermion-fermion model (IBFFM) for the intermediate odd-odd nuclei and the Gamow-Teller and Fermi transition operators. The EDF-based IBM and IBFFM provide a simultaneous description of excitation spectra and electromagnetic transition rates for each nucleus, and single-$β$ and $ββ$ decay properties. The calculated $2νββ$-decay nuclear matrix elements are compared with experiment and with those from earlier theoretical calculations.
