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Glueball masses and Regge trajectories for the QCD-inspired potential

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Abstract

The bound state of two massive constituent gluons is studied in the potential approach. The relativistic quasi-classical wave equation with the QCD-inspired scalar potential is solved by the quasi-classical method in the complex plane. Glueball masses are calculated with the help of the universal mass formula. The hadron Regge trajectories are given by the complex non-linear function in the whole region of the invariant variable t. The Chew–Frautschi plot of the leading glueball trajectory, α P (t), has the properties of a t-channel Pomeron, which is dual to the glueball states in the s channel. The imaginary part of the Pomeron is also calculated.

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Acknowledgements

I would like to thank N.M. Shumeiko, A.A. Pankov and Yu.A. Kurochkin for support and constant interest in this work.

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  1. Institute of Physics, Belarus National Academy of Sciences, 68 Nezavisimosti Ave., Minsk, 220072, Belarus

    M. N. Sergeenko

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Sergeenko, M.N. Glueball masses and Regge trajectories for the QCD-inspired potential. Eur. Phys. J. C 72, 2128 (2012). https://doi.org/10.1140/epjc/s10052-012-2128-5

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