The trigonometric Rosen-Morse potential as a prime candidate for an effective QCD potential Conference Paper uri icon

abstract

  • We make the point that the trigonometric Rosen-Morse (tRM) potential is of possible interest to quark physics in so far as it captures the essentials of the QCD quark-gluon dynamics. This potential (i) interpolates between a Coulomb-like potential (associated with one-gluon exchange) and the infinite wall potential (associated with asymptotic freedom), (ii) reproduces in the intermediary region the linear confinement potential (associated with multi-gluon self-interactions) as established by lattice QCD calculations of hadron properties. Moreover, its exact real solutions given here display a new class of real orthogonal polynomials and thereby interesting mathematical entities in their own. © 2006 American Institute of Physics.

publication date

  • 2006-01-01