Heavy Quarkonia in the Instantaneous Bethe-Salpeter Model
Abstract
The heavy quarkonia (Charmonium and Bottomonium ) are investigated in the framework of the instantaneous BS-equation (Salpeter equation). We parametrize confinement alternatively by a linearly rising scalar or a vector interaction kernel and take into account the one-gluon-exchange (OGE) interaction in the instantaneous approximation. Mass spectra as well as leptonic, two-photon, E1 and M1 decay widths are calculated. Our results show that a reasonable description of the experimental data can be obtained with both spin structures for the confining kernel. The relativistic treatment leads to an improved description compared to nonrelativistic results for the two-photon width of the and to some extent for the E1-transition widths. However, characteristic deviations indicate that within a relativistic framework confinement is not described adequately by a potential.
Keywords
Cite
@article{arxiv.nucl-th/9407033,
title = {Heavy Quarkonia in the Instantaneous Bethe-Salpeter Model},
author = {J. Resag and C. R. Muenz},
journal= {arXiv preprint arXiv:nucl-th/9407033},
year = {2011}
}
Comments
RevTex, 18 pages, 7 figures, University of Bonn, TK-94-12