A1 Journal article (refereed)
Light-front wavefunctions of mesons by design (2022)

Li, M., Li, Y., Chen, G., Lappi, T., & Vary, J. P. (2022). Light-front wavefunctions of mesons by design. European Physical Journal C, 82(11), Article 1045. https://doi.org/10.1140/epjc/s10052-022-10988-5

JYU authors or editors

Publication details

All authors or editors: Li, Meijian; Li, Yang; Chen, Guangyao; Lappi, Tuomas; Vary, James P.

Journal or series: European Physical Journal C

ISSN: 1434-6044

eISSN: 1434-6052

Publication year: 2022

Publication date: 17/11/2022

Volume: 82

Issue number: 11

Article number: 1045

Publisher: Springer

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.1140/epjc/s10052-022-10988-5

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/84052

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2111.07087


We develop a mechanism to build the light-front wavefunctions (LFWFs) of meson bound states on a small-sized basis function representation. Unlike in a standard Hamiltonian formalism, the Hamiltonian in this method is implicit, and the information of the system is carried directly by the functional form and adjustable parameters of the LFWFs. In this work, we model the LFWFs for four charmonium states, ηcηc, J/ψJ/ψ, ψ′ψ′, and ψ(3770)ψ(3770) as superpositions of orthonormal basis functions. We choose the basis functions as eigenfunctions of an effective Hamiltonian, which has a longitudinal confining potential in addition to the transverse confining potential from light-front holographic QCD. We determine the basis function parameters and superposition coefficients by employing both guidance from the nonrelativistic description of the meson states and the experimental measurements of the meson decay widths. With the obtained wavefunctions, we study the features of those meson states, including charge radii and parton distribution functions. We use the J/ψJ/ψ LFWF to calculate the meson production in diffractive deep inelastic scattering and ultra-peripheral heavy-ion collisions, and the ηcηc LFWF to calculate its diphoton transition form factor. Both results show good agreement with experiments. The obtained LFWFs have simple-functional forms and can be readily used to predict additional experimental observables.

Keywords: particle physics; quantum chromodynamics

Contributing organizations

Related projects

Ministry reporting: Yes

Reporting Year: 2022

JUFO rating: 2

Last updated on 2023-03-10 at 14:59