Light-front wavefunctions of mesons by design
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
Published inEuropean Physical Journal C
© The Author(s) 2022
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. ...
Publication in research information system
MetadataShow full item record
Related funder(s)Academy of Finland; European Commission
Funding program(s)Academy Project, AoF
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Additional information about fundingM. Li and T. Lappi are supported by the Academy of Finland, project 321840 and under the European Union’s Horizon 2020 research and innovation programme by the European Research Council (ERC, Grant agreement no. ERC-2015-CoG-681707 and ERC-2018-AdG-835105) and by the STRONG-2020 project (Grant agreement no. 824093). Y. Li, G. Chen and J. P. Vary are supported in part by the US Department of Energy (DOE) under Grant no. DE-FG02-87ER40371. ...
Showing items with similar title or keywords.
Li, Meijian; Li, Yang; Chen, Guangyao; Lappi, Tuomas; Vary, James P. (Springer, 2022)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 ...
Li, Meijian; Lappi, Tuomas; Zhao, Xingbo (American Physical Society (APS), 2021)We develop a numerical method to nonperturbatively study scattering and gluon emission of a quark from a colored target using a light-front Hamiltonian approach. The target is described as a classical color field, as in ...
Li, Meijian (Sissa Medialab, 2021)We investigate the scattering of a quark jet on a high-energy heavy nucleus using the time-dependent light-front Hamiltonian approach. We simulate a real-time evolution of the quark in a strong classical color field of the ...
Li, Meijian; Zhao, Xingbo; Maris, Pieter; Chen, Guangyao; Li, Yang; Tuchin, Kirill; Vary, James P. (American Physical Society, 2020)We investigate the scattering of a quark on a heavy nucleus at high energies using the time-dependent basis light-front quantization (tBLFQ) formalism, which is the first application of the tBLFQ formalism in QCD. We present ...
Complete calculation of exclusive heavy vector meson production at next-to-leading order in the dipole picture Mäntysaari, Heikki; Penttala, Jani (Springer, 2022)Exclusive production of transversely polarized heavy vector mesons in deep inelastic scattering at high energy is calculated at next-to-leading order accuracy in the Color Glass Condensate framework. In addition to the ...