论文标题
核结构校正的分散形式主义$δ_\ mathrm {ns} $ to $β$衰减率
Dispersive formalism for the nuclear structure correction $δ_\mathrm{NS}$ to the $β$ decay rate
论文作者
论文摘要
我们分析了$ i(j^p)= 1(0^+)$ nuclei的轴向$γw$ -box图,并提供核结构校正的分散表示$δ__\ text {ns} $,包括其能量依赖的部分。我们还总结了有用的同胞旋转公式和核理论中的表示,这些公式可以促进平等-ODD核结构函数的计算$ f_3(ν,q^2)$。它们为未来提供了严格的理论框架,对核结构校正的高精度计算$δ_\ text {ns} $用于提取cabibbo-kobayashi-maskawa矩阵元素$ | v_ | v_ {ud} |从超糖核$β$衰减中。
We analyze the axial $γW$-box diagram for $I(J^P)=1(0^+)$ nuclei and provide a dispersion representation of the nuclear-structure correction $δ_\text{NS}$ including its energy-dependent part. We also summarize useful isospin rotation formula and representations in nuclear theory that could facilitate the calculation of the parity-odd nuclear structure function $F_3(ν,Q^2)$. They provide a rigorous theory framework for the future, high-precision calculation of the nuclear structure correction $δ_\text{NS}$ necessary for the extraction of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{ud}|$ from superallowed nuclear $β$ decays.