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Structure of the meson Regge trajectories
The European Physical Journal A ( IF 2.6 ) Pub Date : 2021-07-19 , DOI: 10.1140/epja/s10050-021-00502-y
Jiao-Kai Chen 1
Affiliation  

We investigate the structure of the meson Regge trajectories based on the quadratic form of the spinless Salpeter-type equation. It is found that the forms of the Regge trajectories depend on the energy region. As the employed Regge trajectory formula does not match the energy region, the fitted parameters neither have explicit physical meanings nor obey the constraints although the fitted Regge trajectory can give the satisfactory predictions if the employed formula is appropriate mathematically. Moreover, the consistency of the Regge trajectories obtained from different approaches is discussed. And the Regge trajectories for different mesons are presented. Finally, we show that the masses of the constituents will come into the slope and explain why the slopes of the fitted linear Regge trajectories vary with different kinds of mesons.



中文翻译:

介子 Regge 轨迹的结构

我们基于无旋转 Salpeter 型方程的二次形式研究介子 Regge 轨迹的结构。发现Regge轨迹的形式取决于能量区域。由于采用的Regge轨迹公式与能量区域不匹配,拟合的参数既没有明确的物理意义也不服从约束,尽管如果采用的公式在数学上合适,拟合的Regge轨迹可以给出令人满意的预测。此外,讨论了从不同方法获得的 Regge 轨迹的一致性。并给出了不同介子的 Regge 轨迹。最后,我们证明了成分的质量会进入斜率,并解释为什么拟合的线性 Regge 轨迹的斜率随不同类型的介子而变化。

更新日期:2021-07-19
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