Regge trajectory relations for the universal description of the heavy-light systems: diquarks, mesons, baryons and tetraquarks

• Published in: The European physical journal. C, Particles and fields Vol. 84; no. 4; pp. 356 - 11
• Main Author: Chen, Jiao-Kai
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 04.04.2024; Springer Nature B.V; SpringerOpen
• Subjects: Angular momentum; Astronomy; Astrophysics and Cosmology; Baryons; Constituents; Elementary Particles; Hadrons; Heavy Ions; Light; Measurement Science and Instrumentation; Mesons; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-024-12706-9

Two newly proposed Regge trajectory relations are employed to analyze the heavy-light systems. One of the relations is M = m 1 + m 2 + C ′ + β x x + c 0 x , ( x = l , n r ) . Another reads M = m 1 + C ′ + β x 2 ( x + c 0 x ) + 4 3 π β x m 2 3 / 2 ( x + c 0 x ) 1 / 4 . M is the bound state mass. m 1 and m 2 are the masses of the heavy constituent and the light constituent, respectively. l is the orbital angular momentum and n r is the radial quantum number. β x and c 0 x are fitted. m 1 , m 2 and C ′ 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 c f n r ( c fl ) 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 c f n r ( c fl ) 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 ( M 2 , n r ) and ( M 2 , l ) planes.