https://doi.org/10.1140/epjc/s10052-023-12237-9
Regular Article - Theoretical Physics
Spectroscopic survey of higher-lying states of 
meson family
1
School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China
2
Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, 730000, Lanzhou, China
3
Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, 730000, Lanzhou, China
4
MoE Frontiers Science Center for Rare Isotopes, Lanzhou University, 730000, Lanzhou, China
5
Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, 730000, Lanzhou, China
Received:
16
September
2023
Accepted:
7
November
2023
Published online:
27
November
2023
In this work, we investigate the complete spectroscopy of the mesons, with a special focus on the consideration of the unquenched effects. To account for such effects, we employ the modified Godfrey–Isgur model and introduce a screening potential. The resulting mass spectrum of the concerned higher states is then presented, showing significant deviations after considering the unquenched effects. This emphasizes the importance of considering the unquenched effects when studying of the higher mesons. Furthermore, we determine the corresponding spatial wave functions of these mesons, which have practical applications in subsequent studies of their decays. These decays include two-body Okuba–Zweig–Iizuka allowed strong decays, dipion transitions between mesons, radiative decays, and some typical weak decays. With the ongoing high-luminosity upgrade of the Large Hadron Collider, we expect the discovery of additional states in the near future. The knowledge gained from the mass spectrum and the different decay modes will undoubtedly provide valuable insights for future experimental explorations of these higher mesons.
© The Author(s) 2023
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