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QCD Potential Model for Light-heavy Quarkonia and the Heavy Quark Effective Theory

1994/08/31 by Suraj N. Gupta, Gupta, Suraj N., James M. Johnson +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9408405

3 pages of LaTeX. Uses WORLD_SCI.STY Submitted to DPF94 Proceedings. Complete PostScript file is available via WWW at http://gluon.physics.wayne.edu/wsuhep/jim/dpf94.ps

arxiv created 1994/08/31 · openalex publication_date 1994/08/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have investigated the spectra of light-heavy quarkonia with the use of a quantum-chromodynamic potential model which is similar to that used earlier for the heavy quarkonia. An essential feature of our treatment is the inclusion of the one-loop radiative corrections to the quark-antiquark potential, which contribute significantly to the spin-splittings among the quarkonium energy levels. Unlike cc and bb, the potential for a light-heavy system has a complicated dependence on the light and heavy quark masses m and M, and it contains a spin-orbit mixing term. We have obtained excellent results for the observed energy levels of D0, Ds, B0, and Bs, and we are able to provide predicted results for many unobserved energy levels. We have also used our investigation to test the accuracy of the heavy quark effective theory. We find that the heavy quark expansion yields generally good results for the B0 and Bs energy levels provided that M-1 and M-1ln M corrections are taken into account in the quark-antiquark interactions. It does not, however, provide equally good results for the energy levels of D0 and Ds, which shows that the effective theory can be applied more accurately to the b quark than the c quark.

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