Quarkonium as relativistic bound state on the light front
Abstract
We study charmonium and bottomonium as relativistic bound states in a light-front quantized Hamiltonian formalism. The effective Hamiltonian is based on light-front holography. We use a recently proposed longitudinal confinement to complete the soft-wall holographic potential for the heavy flavors. The spin structure is generated from the one-gluon exchange interaction with a running coupling. The adoption of asymptotic freedom improves the spectroscopy compared with previous light-front results. Within this model, we compute the mass spectroscopy, decay constants and the r.m.s. radii. We also present a detailed study of the obtained light-front wave functions and use the wave functions to compute the light-cone distributions, specifically the distribution amplitudes and parton distribution functions. Overall, our model provides a reasonable description of the heavy quarkonia.
Keywords
Cite
@article{arxiv.1704.06968,
title = {Quarkonium as relativistic bound state on the light front},
author = {Yang Li and Pieter Maris and James P. Vary},
journal= {arXiv preprint arXiv:1704.06968},
year = {2022}
}
Comments
28 pages, 17 figures, 5 tables. Supplemental Materials are provided in the source file under "Other formats" (see also "Ancillary files")