We calculate the electromagnetic (charge, magnetic, and quadrupole) form factors and the associated static moments of heavy quarkonia (charmonia and bottomonia) using the basis light front quantization (BLFQ) approach. For this work, we adopt light front wave functions (LFWFs) generated by a holographic QCD confining potential and a one-gluon exchange interaction with fixed coupling. We compare our BLFQ results with the limiting case of a single BLFQ basis state description of heavy quarkonia and with other available results. These comparisons provide insights into relativistic effects. Using the same LFWFs generated in the BLFQ approach, we also present the generalized parton distributions (GPDs) for selected mesons including those for radially excited mesons such as ψ′ and ϒ′. Our GPD results establish the foundation within BLFQ for further investigating hadronic structure such as probing the spin structure of spin-one hadrons in the off-forward limit.
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We gratefully acknowledge valuable discussions with P. Maris. This work was supported in part by the US Department of Energy (DOE) under Grant Nos. DE-FG02-87ER40371 and DE-SC0018223 (SciDAC-4/NUCLEI). Computational resources were provided by the National Energy Research Scientific Computing Center (NERSC), which is supported by the Office of Science of the US DOE under Contract No. DE-AC02-05CH11231.
© 2019 authors. Published by the American Physical Society.