Abstract
The charmonium and bottomonium mass spectra are investigated systematically in potential nonrelativistic QCD with the heavy quark potential computed by lattice QCD simulations nonperturbatively. The potential consists of a static potential and relativistic corrections classified in powers of the inverse of heavy quark mass m, and the effects of the O(1/m) correction, the O(1/m 2) spin–orbit and spin–tensor corrections on the mass spectra are examined systematically. The pattern of the mass spectra is found to be in fairly good agreement with the experimental data, in which the O(1/m) correction gives an important contribution.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Beringer, J., et al.: Particle Data Group: review of particle physics. Phys. Rev. D 86, 010001 (2012)
Caswell W., Lepage G.: Effective Lagrangians for bound state problems in QED, QCD, and other field theories. Phys. Lett. B 167, 437 (1986)
Bodwin G.T., Braaten E., Lepage G.P.: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium. Phys. Rev. D 51, 1125 (1995)
Brambilla N., Pineda A., Soto J., Vairo A.: Effective field theories for heavy quarkonium. Rev. Mod. Phys. 77, 1423 (2005)
Koma M., Koma Y., Wittig H.: Determination of the spin-dependent potentials with the multi-level algorithm. PoS LAT 2005, 216 (2006)
Koma Y., Koma M., Wittig H.: Nonperturbative determination of the QCD potential at O(1/m). Phys. Rev. Lett. 97, 22003 (2006)
Koma Y., Koma M.: Spin-dependent potentials from lattice QCD. Nucl. Phys. B 769, 79 (2007)
Koma Y., Koma M.: Scaling study of the relativistic corrections to the static potential. PoS LAT 2009, 122 (2009)
Koma Y., Koma M.: Heavy quark potential in lattice QCD. Prog. Theor. Phys. Suppl. 186, 205 (2010)
Manohar A.V.: The HQET/NRQCD Lagrangian to order α/m 3. Phys. Rev. D 56, 230 (1997)
Pineda A., Soto J.: Matching at one loop for the four quark operators in NRQCD. Phys. Rev. D 58, 114011 (1998)
Pineda A., Vairo A.: The QCD potential at O(1/m 2), complete spin dependent and spin independent result. Phys. Rev. D 63, 054007 (2001)
Gromes D.: Spin dependent potentials in QCD and the correct long range spin orbit term. Z. Phys. C 26, 401 (1984)
Author information
Authors and Affiliations
Corresponding author
Additional information
Y.K. is partially supported by the Ministry of Education, Science, Sports and Culture, Japan, Grant-in-Aid for Young Scientists (B) (24740176). M.K. is supported by Japan Society for the Promotion of Science (JSPS), Grant-in-Aid for JSPS Fellows (20·40152).
Rights and permissions
About this article
Cite this article
Koma, Y., Koma, M. Heavy Quark Potential and Quarkonium Spectrum in Nonperturbative pNRQCD. Few-Body Syst 54, 1027–1031 (2013). https://doi.org/10.1007/s00601-012-0542-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-012-0542-8