论文标题
基于核密度理论的相互作用的玻色子模型中的$β$衰减
$β$ decay of even-A nuclei within the interacting boson model based on nuclear density functional theory
论文作者
论文摘要
我们计算能量密度功能（EDF）和相互作用的玻色子模型（IBM）框架内的$β$ -Decay $ ft $ values。基于使用GOGNY-D1M EDF的约束平均计算，IBM Hamiltonian的均匀核和相互作用的Boson-Fermion-Fermion-Fermion-Fermion模型（IBFFM）的基本成分用于描述相邻的奇数核心，以微观的方式确定相邻的奇数核。仅通过经验确定玻色子 - 弗氏和残留中子核子相互作用强度。计算$β$ -decay $ ft $ - 值所需的Gamow-Teller（GT）和Fermi（F）过渡速率是没有任何其他参数或$ G_A $ factor的Quench的。在奇数cs nuclei中观察到的$β^+$衰变的$ \ ft $值，以及质量$ a \ 130 $的奇数cs nuclei和奇数cs nuclei的odd-odd cs的值。预测的GT和F转型速率代表了对IBM和IBFFM波函数质量的敏感测试。
We compute the $β$-decay $ft$-values within the frameworks of the energy density functional (EDF) and the interacting boson model (IBM). Based on the constrained mean-field calculation with the Gogny-D1M EDF, the IBM Hamiltonian for an even-even nucleus and essential ingredients of the interacting boson-fermion-fermion model (IBFFM) for describing the neighboring odd-odd nucleus are determined in a microscopic way. Only the boson-fermion and residual neutron-proton interaction strengths are determined empirically. The Gamow-Teller (GT) and Fermi (F) transition rates needed to compute the $β$-decay $ft$-values are obtained without any additional parameter or quenching of the $g_A$ factor. The observed $\ft$ values for the $β^+$ decays of the even-even Ba into odd-odd Cs nuclei, and of the odd-odd Cs to the even-even Xe nuclei, with mass $A\approx 130$ are reasonably well described. The predicted GT and F transition rates represent a sensitive test of the quality of the IBM and IBFFM wave functions.
