Approximate degeneracy of heavy-light mesons with the same L

Matsuki, Takayuki (Tokyo Kasei University, 1-18-1 Kaga, Itabashi, Tokyo, 173-8602, Japan) (Theoretical Research Division, Nishina Center, RIKEN, Wako, Saitama, 351-0198, Japan) ; Lü, Qi-Fang (Institute of High Energy Physics, CAS, Beijing, 100049, People's Republic of China) ; Dong, Yubing (Institute of High Energy Physics, CAS, Beijing, 100049, People's Republic of China) (Theoretical Physics Center for Science Facilities (TPCSF), CAS, People's Republic of China) ; Morii, Toshiyuki (Faculty of Human Development, Kobe University, 3-11 Tsurukabuto, Nada, Kobe, 657-8501, Japan)

10 May 2016

Abstract: Careful observation of the experimental spectra of heavy-light mesons tells us that heavy-light mesons with the same angular momentum L are almost degenerate. The estimate is given how much this degeneracy is broken in our relativistic potential model, and it is analytically shown that expectation values of a commutator between the lowest order Hamiltonian and L→2 are of the order of 1/mQ with a heavy quark mass mQ . It turns out that nonrelativistic approximation of heavy quark system has a rotational symmetry and hence degeneracy among states with the same L . This feature can be tested by measuring higher orbitally and radially excited heavy-light meson spectra for D/Ds/B/Bs in LHCb and forthcoming BelleII.


Published in: Physics letters B (2016)
Published by: Elsevier
DOI: 10.1016/j.physletb.2016.05.016
License: CC-BY-3.0



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