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Data-driven dispersive analysis of theππandπKscattering
Physical Review D ( IF 4.6 ) Pub Date : 2021-06-22 , DOI: 10.1103/physrevd.103.114023
Igor Danilkin , Oleksandra Deineka , Marc Vanderhaeghen

We present a data-driven analysis of the resonant S-wave ππππ and πKπK reactions using the partial-wave dispersion relation. The contributions from the left-hand cuts are accounted for using the Taylor expansion in a suitably constructed conformal variable. The fits are performed to experimental and lattice data as well as Roy analyses. For the ππ scattering we present both a single- and a coupled-channel analysis by including additionally the KK¯ channel. For the latter the central result is the Omnès matrix, which is consistent with the most recent Roy and Roy-Steiner results on ππππ and ππKK¯, respectively. By the analytic continuation to the complex plane, we found poles associated with the lightest scalar resonances σ/f0(500), f0(980), and κ/K0*(700) for the physical pion mass value and in the case of σ/f0(500), κ/K0*(700) also for unphysical pion mass values.

中文翻译:

ππ和πK散射的数据驱动色散分析

我们提出了谐振的数据驱动分析 -海浪 ππππππ使用分波色散关系的反应。在适当构造的共形变量中使用泰勒展开来解释左手切割的贡献。对实验和晶格数据以及 Roy 分析进行拟合。为了ππ 散射我们通过额外包括单通道和耦合通道分析 ¯渠道。对于后者,中心结果是 Omnès 矩阵,这与最近的 Roy 和 Roy-Steiner 结果一致ππππππ¯, 分别。通过对复平面的解析延展,我们发现了与最轻的标量共振相关的极点σ/F0(500), F0(980), 和 κ/0*(700) 对于物理 pion 质量值和 σ/F0(500), κ/0*(700) 也适用于非物理 pion 质量值。
更新日期:2021-06-22
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