论文标题
来自QCD的能量依赖性$π^+π^+π^+ $
The energy-dependent $π^+ π^+ π^+$ scattering amplitude from QCD
论文作者
论文摘要
专注于具有最大同胞素（$π^+π^+π^+$）的三杆态，我们提出了第一个依赖能量依赖的三龙散射幅度的非扰动确定第一原理QCD。该计算结合了使用数值晶格QCD提取的有限体积的三 - 二轮能量，以及相对论的有限数量形式主义，需要解释结果。为了充分实施后者，我们还求解了将中间三体k矩阵与物理三体散射幅度相关联的积分方程。所得的振幅显示出丰富的分析结构，并且对两杆不变质量的复杂依赖性，此处通过散射速率的达利兹（Dalitz）样图表示。
Focusing on three-pion states with maximal isospin ($π^+π^+π^+$), we present the first non-perturbative determination of an energy-dependent three-hadron scattering amplitude from first-principles QCD. The calculation combines finite-volume three-hadron energies, extracted using numerical lattice QCD, with a relativistic finite-volume formalism, required to interpret the results. To fully implement the latter, we also solve integral equations that relate an intermediate three-body K matrix to the physical three-hadron scattering amplitude. The resulting amplitude shows rich analytic structure and a complicated dependence on the two-pion invariant masses, represented here via Dalitz-like plots of the scattering rate.
