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Structure of the meson Regge trajectories

  • Regular Article - Theoretical Physics
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Abstract

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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data are included in the paper.]

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Acknowledgements

We are very grateful to the anonymous referees for the valuable comments and suggestions. This work is supported by the Natural Science Foundation of Shanxi Province of China under Grant no. 201901D111289.

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  1. School of Physics and Information Engineering, Shanxi Normal University, Linfen, 041004, China

    Jiao-Kai Chen

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Chen, JK. Structure of the meson Regge trajectories. Eur. Phys. J. A 57, 238 (2021). https://doi.org/10.1140/epja/s10050-021-00502-y

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