论文标题
分析$3π$最终状态中的撤离效果
Analysis of rescattering effects in $3π$ final states
论文作者
论文摘要
通常用两体共振和非相互作用的观众粒子来描述三个颗粒。为了超越这种最简单的iSobar模型，还需要考虑跨通道拆卸效果。我们量化了这些脱落效应在三杆型系统中对于不同衰减质量和角度摩肌量子数的重要性。我们为四个衰减过程提供振幅分解，总计$ J^{pc} = 0^{ - } $，$ 1^{ - } $，$ 1^{ - +} $和$ 2^{++} $，所有这些均主要衰减为$ρπ$ states。用Omnès功能描述了两杆脱子的脱落，该功能结合了$ρ$共振。通过求解Khuri-Treiman积分方程来实现跨通道效应。未扣除的对数似然估计器用于确定超出两体共振的撤销效应的重要性。我们计算出在未来的达利兹（Dalitz）图表分析中明确找到这些事件的最小事件数量。为选定的一组量子数和各种质量鉴定出增强或稀释撤离的运动效应。
Decays into three particles are often described in terms of two-body resonances and a non-interacting spectator particle. To go beyond this simplest isobar model, crossed-channel rescattering effects need to be accounted for. We quantify the importance of these rescattering effects in three-pion systems for different decay masses and angular-momentum quantum numbers. We provide the amplitude decompositions for four decay processes with total $J^{PC} = 0^{--}$, $1^{--}$, $1^{-+}$, and $2^{++}$, all of which decay predominantly as $ρπ$ states. Two-pion rescattering is described in terms of an Omnès function, which incorporates the $ρ$ resonance. Inclusion of crossed-channel effects is achieved by solving the Khuri-Treiman integral equations. The unbinned log-likelihood estimator is used to determine the significance of the rescattering effects beyond two-body resonances; we compute the minimum number of events necessary to unambiguously find these in future Dalitz-plot analyses. Kinematic effects that enhance or dilute the rescattering are identified for the selected set of quantum numbers and various masses.
