论文标题
分析色散参数化，用于无旋转颗粒的弹性散射
Analytical dispersive parameterization for elastic scattering of spinless particles
论文作者
论文摘要
在本文中，我们提出了Spin-0颗粒的弹性散射的参数化，该参数基于逆散射幅度的分散表示。除了基于众所周知的一般原则之外，逆幅度应满足分散关系的要求还可以显着限制其可能的形式，并且迄今尚未纳入现有的参数化。虽然反向散射幅度的右切割是由单位性控制的，但左侧切割的贡献（来自交叉对称性）通常被忽略或不正确。使用适当构建的共形变量中的扩展来对后者进行参数化，这解释了其分析结构。还详细讨论了Adler零的正确实现和角动量$ J> 0 $的阈值因素。振幅以紧凑的分析形式编写，并提供了一个有用的工具，可以分析弹性区域中的当前和未来晶格数据，以改善常用的Breit-wigner或K-Matrix方法。
In this paper, we present an improved parameterization of the elastic scattering of spin-0 particles, which is based on a dispersive representation for the inverse scattering amplitude. Besides being based on well known general principles, the requirement that the inverse amplitude should satisfy the dispersion relation significantly constrains its possible forms and have not been incorporated in the existing parameterizations so far. While the right-hand cut of the inverse scattering amplitude is controlled by unitarity, the contribution from the left-hand cut, which comes from the crossing symmetry, is commonly ignored or incorporated improperly. The latter is parameterized using the expansion in a suitably constructed conformal variable, which accounts for its analytic structure. The correct implementations of the Adler zero and threshold factors for angular momentum $J>0$ are discussed in detail as well. The amplitudes are written in a compact analytic form and provide a useful tool to analyze current and future lattice data in the elastic region improving upon the commonly used Breit-Wigner or K-matrix approaches.
