论文标题
$ 2 \ xrightarrow [] {H_I+H_I} 2 $过渡：晶格QCD计算双β衰减的应用
Finite-volume formalism in the $2 \xrightarrow[]{H_I+H_I} 2$ transition: an application to the lattice QCD calculation of double beta decays
论文作者
论文摘要
我们介绍了将二阶Electroweak $ 2 \ XrightArrow [] {H_I+H_I} 2 $转换幅度（在初始和最终状态中有两个Hadrons）与无限体积的物理振幅相关的形式主义。我们的研究主要集中在低洼中间状态由两个散射黑子弹组成的情况下。作为侧面产品，我们还以$ 2 \ xrightArrow [] {H_I} 2 $过渡重现有限体积公式，最初是由Briceño和Hansen获得的。使用可用的有限体积形式主义，我们进一步讨论了如何在双β衰减中使用有限体积问题来治疗$ nn \ to pp ee \barν\barν$和$ nn \ to pp ee $。
We present the formalism for connecting a second-order electroweak $2\xrightarrow[]{H_I+H_I}2$ transition amplitudes in the finite volume (with two hadrons in the initial and final states) to the physical amplitudes in the infinite volume. Our study mainly focus on the case where the low-lying intermediate state consists of two scattering hadrons. As a side product we also reproduce the finite-volume formula for $2\xrightarrow[]{H_I}2$ transition, originally obtained by Briceño and Hansen. With the available finite-volume formalism, we further discuss how to treat with the finite-volume problem in the double beta decays $nn\to pp ee\barν\barν$ and $nn\to pp ee$.
