English

Glueball masses and Regge trajectories for the QCD-inspired potential

High Energy Physics - Phenomenology 2015-11-25 v1 Nuclear Theory

Abstract

Bound state of two massive constituent gluons is studied in the potential approach. 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 tt. The Chew-Frautschi plot of the leading glueball trajectory, αP(t)\alpha_P(t), has the properties of the t-channel Pomeron, which is dual to the glueball states in the s channel. The imaginary part of the Pomeron is also calculated.

Keywords

Cite

@article{arxiv.1206.7099,
  title  = {Glueball masses and Regge trajectories for the QCD-inspired potential},
  author = {M. N. Sergeenko},
  journal= {arXiv preprint arXiv:1206.7099},
  year   = {2015}
}

Comments

21 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1107.1671, and with arXiv:hep-ph/0406153, arXiv:0810.4453 by other authors