Regge-like relation and a universal description of heavy–light systems

Chen, Kan (Aff1, 0000 0000 8571 0482, School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China) (Aff2, 0000 0000 8571 0482, Research Center for Hadron and CSR Physics, Institute of Modern Physics of CAS, Lanzhou University, 730000, Lanzhou, China) ; Dong, Yubing (Aff3, 0000 0004 0632 3097, Institute of High Energy Physics, CAS, 100049, Beijing, China) (Aff4, 0000000119573309, Theoretical Physics Center for Science Facilities (TPCSF), CAS, Beijing, China) (Aff5, 0000 0004 1797 8419, School of Physical Sciences, University of Chinese Academy of Sciences, 101408, Beijing, China) ; Liu, Xiang (Aff1, 0000 0000 8571 0482, School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China) (Aff2, 0000 0000 8571 0482, Research Center for Hadron and CSR Physics, Institute of Modern Physics of CAS, Lanzhou University, 730000, Lanzhou, China) ; Lü, Qi-Fang (Aff3, 0000 0004 0632 3097, Institute of High Energy Physics, CAS, 100049, Beijing, China) (Aff6, 0000 0001 0089 3695, Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Hunan Normal University, 410081, Changsha, China) ; Matsuki, Takayuki (Aff7, Tokyo Kasei University, 1-18-1 Kaga, Itabashi, 173-8602, Tokyo, Japan) (Aff8, 0000000094465255, Theoretical Research Division, Nishina Center, RIKEN, 351-0198, Wako, Saitama, Japan)

12 January 2018

Abstract: Using the Regge-like formula (M-mQ)2=πσL between hadron mass M and angular momentum L with a heavy quark mass mQ and a string tension σ , we analyze all the heavy–light systems, i.e., D/Ds/B/Bs mesons and charmed and bottom baryons. Numerical plots are obtained for all the heavy–light mesons of experimental data whose slope becomes nearly equal to 1/2 of that for light hadrons. Assuming that charmed and bottom baryons consist of one heavy quark and one light cluster of two light quarks (diquark), we apply the formula to all the heavy–light baryons including the recently discovered Ωc and find that these baryons experimentally measured satisfy the above formula. We predict the average mass values of B , Bs , Λb , Σc , Ξc , and Ωc with L=2 to be 6.01, 6.13, 6.15, 3.05, 3.07, and 3.34 GeV, respectively. Our results on baryons suggest that these baryons can be safely regarded as heavy quark–light cluster configuration. We also find a universal description for all the heavy–light mesons as well as baryons, i.e., one unique line is enough to describe both of charmed and bottom heavy–light systems. Our results suggest that instead of mass itself, gluon flux energy is essential to obtain a linear trajectory. Our method gives a straight line for Bc although the curved parent Regge trajectory was suggested before.


Published in: EPJC 78 (2018) 20
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-017-5512-3
License: CC-BY-3.0



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