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Phys. Rev. D 54, 1136–1142 (1996)

Possible effects of quark and gluon condensates in heavy quarkonium spectra

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Y. B. Ding1,2,3, X. H. Guo3,5, X. Q. Li1,3,4, and P. N. Shen1,3,5,6
1China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, China
2Graduate School, Academia Sinica, P.O. Box 3908, Beijing 100039, China
3Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080, China
4Department of Physics, Nankai University, Tianjin 300071, China
5Institute of High Energy Physics, Academia Sinica, P.O. Box 918(4), Beijing 100039, China
6Department of Physics and Mathematical Physics, the University of Adelaide, GPO Box 498, Adelaide, South Australia 5001

Received 13 March 1995; revised 19 December 1995; published in the issue dated 1 July 1996

The Cornell potential with the best fitted parameters αs and κ are modified by adding terms derived from nonperturbative QCD, which are characterized by a series of nonvanishing vacuum condensates of quarks and gluons. In terms of this potential, we study the system of heavy quarkonia. The results show that the correction caused by the additional terms reduces the deviation between the data and the values calculated with the pure Cornell potential and improves the splittings of energy levels. The achievements indicate that the nonperturbative effects induced by vacuum condensates play an important role for the correction to 1/q2, which in general was phenomenologically put in by hand. This result would be helpful for understanding nonperturbative QCD along a parallel direction to the QCD sum rules.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.54.1136
DOI:
10.1103/PhysRevD.54.1136
PACS:
12.39.Pn, 12.38.Mh, 14.40.Gx