Phenomenology of relativistic $$\mathbf {3}\rightarrow \mathbf {3}$$ 3 → 3 reaction amplitudes within the isobar approximation
Phenomenology of relativistic $$\mathbf {3}\rightarrow \mathbf {3}$$ 3 → 3 reaction amplitudes within the isobar approximation
复制标题
相对论现象学 $$mathbf {3} ightarrow mathbf {3}$$ 等压线近似内的 3 â 3 反应振幅
DOI：
10.1140/epjc/s10052-019-6566-1
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Szczepaniak, A. P.
中科院分区：
文献类型：
--
作者：
Jackura, A.;Fernández-Ramírez, C.;Mathieu, V.;Mikhasenko, M.;Nys, J.;Pilloni, A.;Saldaña, K.;Sherrill, N.;Szczepaniak, A. P.
强子谱学的进一步发展需要三粒子反应的唯象描述。我们考虑等压线近似，其中振幅的连通部分首先表示为初始和最终对的和，然后展开为截断的分波级数。由此产生的么正性方程由B矩阵解自动实现，B矩阵解是分波振幅的积分方程，类似于用于描述振幅的K矩阵参数化。我们研究了一个粒子交换及其分析结构如何影响再散射解决方案，如三角图。的分析结构进行了比较，在文献中讨论的其他参数化。本文简要地讨论了格点QCD中散射振幅的提取与最近的形式化的类比。
Further progress in hadron spectroscopy necessitates the phenomenological description of three particle reactions. We consider the isobar approximation, where the connected part of theamplitude is first expressed as a sum over initial and final pairs, and then expanded into a truncated partial wave series. The resulting unitarity equation is automatically fulfilled by the B-matrix solution, which is an integral equation for the partial wave amplitudes, analogous to the K-matrix parameterization used to describeamplitudes. We study the one particle exchange and how its analytic structure impacts rescattering solutions such as the triangle diagram. The analytic structure is compared to other parameterizations discussed in the literature. We briefly discuss the analogies with recent formalisms for extractingscattering amplitudes in lattice QCD.