论文标题

三杆基态的有限体积能量转移

Finite-volume energy shift of the three-pion ground state

论文作者

Müller, Fabian, Rusetsky, Akaki, Yu, Tiansu

论文摘要

使用非相关性有效场理论的框架,对于通道中三个尖端的系统,有限量基本状态的能量转移是最新和包括$ O(l^{ - 6})$的$ O(l^{ - 6})$,总isospin $ i = 1 $。相对论校正在扰动中包括在框尺寸$ l $的倒数中,最多可达相同的订单。获得的显式表达,以及最大的同胞$ i = 3 $的系统的已知结果,可用于从三个尖锐的测量地面谱中提取两个独立的有效三体耦合。

Using the framework of non-relativistic effective field theory, the finite-volume ground-state energy shift is calculated up-to-and-including $O(L^{-6})$ for the system of three pions in the channel with the total isospin $I=1$. The relativistic corrections are included perturbatively, up to the same order in the inverse of the box size $L$. The obtained explicit expression, together with the known result for the system with maximal isospin $I=3$, can be used for the extraction of two independent effective three-body couplings from the measured ground-state spectrum of three pions.

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