2021
DOI: 10.48550/arxiv.2111.07087
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Light-front wavefunctions of mesons by design

Abstract: We develop a mechanism to build the light-front wavefunctions (LFWFs) of meson bound states on a smallsized 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, η c , J/ψ, ψ , and ψ(3770) as superpositions of orthonormal basis functions. We choose the basis functions as … Show more

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Cited by 3 publications
(3 citation statements)
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References 80 publications
(146 reference statements)
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“…The 𝑓 1𝐿𝐿 characterizes the difference of unpolarized quark distribution between Λ = 0 and Λ = ±1 states. We note that the heavy meson PDFs have been studied by the BLFQ approach and light front models [62][63][64]. closer to unity in Υ than in 𝐽 /𝜓 , as the relativistic effect reduces.…”
Section: Integrated Tmdsmentioning
confidence: 93%
“…The 𝑓 1𝐿𝐿 characterizes the difference of unpolarized quark distribution between Λ = 0 and Λ = ±1 states. We note that the heavy meson PDFs have been studied by the BLFQ approach and light front models [62][63][64]. closer to unity in Υ than in 𝐽 /𝜓 , as the relativistic effect reduces.…”
Section: Integrated Tmdsmentioning
confidence: 93%
“…Refs. [57][58][59]). Different wave functions mostly affect the overall normalization of the J/ψ production cross section, and have a much smaller effect on the |t| spectra, which we are most interested here [43,55,57].…”
Section: Vector Meson Production At High Energymentioning
confidence: 99%
“…in Refs. [55][56][57]. Using other wave function models mostly affects the overall normalization of the cross section and has only a minor effect on the shape of the t spectra, which is the main focus of this work.…”
Section: Vector Meson Production At High Energymentioning
confidence: 99%