$2 \xrightarrow[]{H_I+H_I} 2$跃迁的量子体积形式：在双β衰变的格点量子色动力学计算中的应用
Finite-volume formalism in the $2 \xrightarrow[]{H_I+H_I} 2$ transition: an application to the lattice QCD calculation of double beta decays
摘要：
本文给出了有限体积中二阶电弱$2\xrightarrow[]{H_I+H_I}2$跃迁振幅与无限体积中物理振幅之间的关系。我们的研究主要集中在低位中间态由两个散射强子组成的情形。作为副产品，我们还重现了有限体积公式的$2\xrightarrow[]{H_I}2$过渡，最初获得的Briceño和汉森。利用现有的有限体积形式，我们进一步讨论了如何处理双β衰变$nn\to pp ee\barν\barν$和$nn\to pp ee$中的有限体积问题.
英文摘要：
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 $nn\to pp ee$.
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