Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-06-29
Phys.Rev. D67 (2003) 014004
Physics
High Energy Physics
High Energy Physics - Phenomenology
26 pages, 16 figures. Minor changes, to be published in PRD
Scientific paper
10.1103/PhysRevD.67.014004
Recently it has been shown that the gross structure of the bottomonium spectrum is reproduced reasonably well within the non-relativistic boundstate theory based on perturbative QCD. In that calculation, however, the fine splittings and the S-P level splittings are predicted to be considerably narrower than the corresponding experimental values. We investigate the bottomonium spectrum within a specific framework based on perturbative QCD, which incorporates all the corrections up to O(alpha_S^5 m_b) and O(alpha_S^4 m_b), respectively, in the computations of the fine splittings and the S-P splittings. We find that the agreement with the experimental data for the fine splittings improves drastically due to an enhancement of the wave functions close to the origin as compared to the Coulomb wave functions. The agreement of the S-P splittings with the experimental data also becomes better. We find that natural scales of the fine splittings and the S-P splittings are larger than those of the boundstates themselves. On the other hand, the predictions of the level spacings between consecutive principal quantum numbers depend rather strongly on the scale mu of the operator \propto C_A/(m_b r^2). The agreement of the whole spectrum with the experimental data is much better than the previous predictions when mu \simeq 3-4 GeV for alpha_S(M_Z)=0.1181. There seems to be a phenomenological preference for some suppression mechanism for the above operator.
Recksiegel Stefan
Sumino Yoshio
No associations
LandOfFree
Improved Perturbative QCD Approach to the Bottomonium Spectrum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Improved Perturbative QCD Approach to the Bottomonium Spectrum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Improved Perturbative QCD Approach to the Bottomonium Spectrum will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-678736