Excited hadrons and the analytical structure of bound-state interaction kernels
Abstract
We highlight Hermiticity issues in bound-state equations whose kernels are subject to a highly asymmetric mass and momentum distribution and whose eigenvalue spectrum becomes complex for radially excited states. We trace back the presence of imaginary components in the eigenvalues and wave functions to truncation artifacts and suggest how they can be eliminated in the case of charmed mesons. The solutions of the gap equation in the complex plane, which play a crucial role in the analytic structure of the Bethe-Salpeter kernel, are discussed for several interaction models and qualitatively and quantitatively compared to analytic continuations by means of complex-conjugate pole models fitted to real solutions.
Cite
@article{arxiv.1602.06761,
title = {Excited hadrons and the analytical structure of bound-state interaction kernels},
author = {Bruno El-Bennich and Gastão Krein and Eduardo Rojas and Fernando E. Serna},
journal= {arXiv preprint arXiv:1602.06761},
year = {2016}
}
Comments
Proceeding of the ECT* workshop "Nucleon Resonances From Photoproduction to High Photon Virtualities", talk given by B.E.; 8 pages, 2 figures with 6 graphs