https://doi.org/10.1140/epjc/s10052-024-12706-9
Regular Article - Theoretical Physics
Regge trajectory relations for the universal description of the heavy-light systems: diquarks, mesons, baryons and tetraquarks
School of Physics and Information Engineering, Shanxi Normal University, 030031, Taiyuan, China
a chenjk@sxnu.edu.cn, chenjkphy@outlook.com
Received:
21
February
2024
Accepted:
20
March
2024
Published online:
4
April
2024
Two newly proposed Regge trajectory relations are employed to analyze the heavy-light systems. One of the relations is 
, 
. Another reads 
. M is the bound state mass. 
and 
are the masses of the heavy constituent and the light constituent, respectively. l is the orbital angular momentum and 
is the radial quantum number. 
and 
are fitted. , and 
are input parameters. These two formulas consider both of the masses of heavy constituent and light constituent. We find that the heavy-light diquarks, the heavy-light mesons, the heavy-light baryons and the heavy-light tetraquarks satisfy these two formulas. When applying the first formula, the heavy-light systems satisfy the universal description irrespective of both of the masses of the light constituents and the heavy constituent. When using the second relation, the heavy-light systems satisfy the universal description irrespective of the mass of the heavy constituent. The fitted slopes differ distinctively for the heavy-light mesons, baryons and tetraquarks, respectively. When employing the first relation, the average values of 
(
) are 1.026, 0.794 and 0.553 (1.026, 0.749 and 0.579) for the heavy-light mesons, the heavy-light baryons and the heavy-light tetraquarks, respectively. Upon application of the second relation, the mean values of () are 1.108, 0.896 and 0.647 (1.114, 0.855 and 0.676) for the heavy-light mesons, the heavy-light baryons and the heavy-light tetraquarks, respectively. Moreover, the fitted results show that the Regge trajectories for the heavy-light systems are concave downwards in the 
and 
planes.
© The Author(s) 2024
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