Using the auxiliary field method, we give an analytical expression for the eigenenergies of a system composed of two non-relativistic particles interacting via a potential of type √ a 2 r 2 + b. This situation is usual in the case of hybrid mesons in which the quark-antiquark pair evolves in an excited gluonic field. Asymptotic expressions are proposed and… (More)

@inproceedings{BracarXI,
title={ar X iv : 0 90 1 . 46 14 v 1 [ m at h - ph ] 2 9 Ja n 20 09 Auxiliary field method for the square root potential},
author={Bernard Silvestre - Brac and Claude Semay and Fabien Buisseret}
}