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arXiv · hep-ph/9906247

Fine structure splittings of excited P and D states in charmonium

A. M. Badalian·V. L. Morgunov·B. L. G. Bakker
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Abstract

It is shown that the fine structure splittings of the $2 ^3P_J$ and $3 ^3P_J$ excited states in charmonium are as large as those of the $1^3P_J$ state if the same $α_s(μ)\approx 0.36$ is used. The predicted mass $M(2 ^3P_0)=3.84$ GeV appears to be 120 MeV lower that the center of gravity of the $2 ^3P_J$ multiplet and lies below the $D\bar D^*$ threshold. Our value of $M(2 ^3P_0)$ is approximately 80 MeV lower than that from the paper by Godfrey and Isgur while the differences in the other masses are $\la 20$ MeV. Relativistic kinematics plays an important role in our analysis.

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A. M. Badalian, V. L. Morgunov, B. L. G. Bakker. 1999-06-04. Fine structure splittings of excited P and D states in charmonium. https://doi.org/10.1134/1.1312898

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