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Spectroscopy of excited quarkonium states in the light-front quark model

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arxiv 2408.07715 v1 pith:P4ROSWMC submitted 2024-08-14 hep-ph

Spectroscopy of excited quarkonium states in the light-front quark model

classification hep-ph
keywords excitedstatesstatefunctionslight-frontradiallybeendistribution
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We have investigated the ground state ($1S$), radially excited states ($2S$) and ($3S$) along with the orbitally excited state ($1P$) for the heavy charmonia ($c \bar c$) and bottomonia ($b \bar b$) mesons in the light-front quark model (LFQM). The light-front wave functions have been successful in explaining various physical properties of meson states in the past, especially for the $1S$ and $2S$ states. However, studies regarding the radially excited state $3S$ and orbitally excited state $1P$ have hardly been pursued before. In this study, we take up these two excited states and investigate the electromagnetic form factors (EMFFs), charge radii, decay constants, parton distribution functions (PDFs) and the distribution amplitudes (DAs) for the quarkonia system. For the sake of completeness, we have also included the study of the ground and the first excited states of quarkonia mesons. We have also illustrated the 3D wave functions for the radially excited states in order to study their nodal structures.

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Cited by 4 Pith papers

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  1. Electron-Ion Collision Environment: Distribution of Quark Spin and Orbital Angular Momentum

    hep-ph 2026-07 conditional novelty 5.0

    Using NJL density-dependent quark masses in a light-front dressed-quark model, the paper predicts O(10–40%) medium modifications of GTMDs linked to quark OAM, spin, and spin–orbit correlation, and defines eA/eP GTMD r...

  2. Valence quark distribution of the pion inside a medium with finite baryon density: A Nambu--Jona-Lasinio model approach

    hep-ph 2025-12 unverdicted novelty 5.0

    The authors use the two-flavor NJL model to obtain medium-modified constituent quark masses and then compute the in-medium pion electromagnetic form factor, distribution amplitude, and parton distribution function via...

  3. Mechanical distribution of the pseudoscalar charmonium and bottomonium on the light-front

    hep-ph 2026-06 unverdicted novelty 4.0

    Light-front quark model calculations with two Gaussian wave functions yield transverse mechanical distributions for pseudoscalar charmonium and bottomonium, showing a nodal pressure and positive force.

  4. An Analysis on the Parton Distribution Functions of Heavy Mesons

    hep-ph 2026-05 unverdicted novelty 3.0

    Light-cone quark model PDFs for kaon and heavy mesons are evolved via NLO DGLAP to predict EIC structure functions and COMPASS Drell-Yan cross sections while showing heavy constituents dominate momentum fractions.