arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2409.09172hep-phhep-th
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迈向所有能量下强子散射的统一描述

Towards a unified description of hadron scattering at all energies

Dominik Stamen, Daniel Winney, Arkaitz Rodas, Cesar Fernandez-Ramirez, Vincent Mathieu, Gloria Montana, Alessandro Pilloni, Adam P. Szczepaniak

AI总结:

本文提出一种融合S矩阵与Regge理论的强子散射振幅新参数化,以角动量平面中的Regge轨迹统一描述共振区和渐近极限,并通过ππ散射数值应用加以检验。

摘要:

半个多世纪以来,构造满足对称性和S矩阵约束的一般振幅一直是研究强子谱的主要工具。在这项工作中,我们提出了一种新的参数化方法,它能够实现S矩阵和Regge理论的许多预期,并将共振区与渐近极限中强子散射的基本物理联系起来。在这一构造中,动力学信息完全包含在Regge轨迹中,这些轨迹把复能量平面中的共振极点推广为角动量平面中的运动极点。我们强调了该模型的显著特征,与关于色散振幅和对偶振幅的现有文献进行了比较,并通过对ππ散射中ρ和σ/f_0(500)介子的初步数值应用,对该形式体系进行了基准检验。

英文摘要:

The construction of general amplitudes satisfying symmetries and $S$-matrix constraints has been the primary tool in studying the spectrum of hadrons for over half a century. In this work, we present a new parameterization, which can fulfill many expectations of $S$-matrix and Regge theory and connects the essential physics of hadron scattering in the resonance region and in asymptotic limits. In this construction, dynamical information is entirely contained in Regge trajectories that generalize resonance poles in the complex energy plane to moving poles in the angular momentum plane. We highlight the salient features of the model, compare with existing literature on dispersive and dual amplitudes, and benchmark the formalism with an initial numerical application to the $ρ$ and $σ/f_0(500)$ mesons in $ππ$ scattering.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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