Regge trajectories for the light diquarks

Jiao-Kai Chen; Jia-Qi Xie; Xia Feng; He Song

doi:10.1140/epjc/s10052-023-12329-6

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 1133
https://doi.org/10.1140/epjc/s10052-023-12329-6

Regular Article - Theoretical Physics

Regge trajectories for the light diquarks

Jiao-Kai Chen^a, Jia-Qi Xie, Xia Feng and He Song

School of Physics and Information Engineering, Shanxi Normal University, 030031, Taiyuan, China

^a chenjk@sxnu.edu.cn, chenjkphy@outlook.com

Received: 10 October 2023
Accepted: 3 December 2023
Published online: 14 December 2023

Abstract

We attempt to present an unified description of the light meson spectra and the light diquark spectra by applying the Regge trajectory approach. However, we find that the direct application of the linear Regge trajectory formula for the light mesons and baryons fails. To address this issue, we fit the experimental data of light meson spectra and the light diquark spectra obtained by other theoretical approaches. By considering the light quark mass and the parameter C in the Cornell potential, we provide a provisional Regge trajectory formula. We also crudely estimate the masses of the light diquarks (ud), (us), and (ss), and find that they agree with other theoretical results. The diquark Regge trajectory not only becomes a new and very simple approach for estimating the spectra of the light diquarks, but also can explicitly show the behavior of the masses with respect to l or $n_{r}$ $$n_r$$ . Moreover, it is expected that the diquark Regge trajectory can provide a simple method for investigating the $ρ$ $\rho$ -mode excitations of baryons, tetraquarks and pentaquarks containing diquarks.

© The Author(s) 2023

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.