Quarkonium as relativistic bound state on the light front

Abstract

We study charmonium and bottomonium as relativistic bound states in a light-front quantized Hamiltonian formalism. The effective Hamiltonian is based on light-front holography. We use a recently proposed longitudinal confinement to complete the soft-wall holographic potential for the heavy flavors. The spin structure is generated from the one-gluon exchange interaction with a running coupling. The adoption of asymptotic freedom improves the spectroscopy compared with previous light-front results. Within this model, we compute the mass spectroscopy, decay constants and the r.m.s. radii. We also present a detailed study of the obtained light-front wave functions and use the wave functions to compute the light-cone distributions, specifically the distribution amplitudes and parton distribution functions. Overall, our model provides a reasonable description of the heavy quarkonia.

28 pages, 17 figures, 5 tables. Supplemental Materials are provided in the source file under "Other formats" (see also "Ancillary files")

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• Chiral Symmetry Breaking and Meson Wave Functions in Soft-Wall AdS/QCD
• The study of leading twist light cone wave functions of J/Psi meson
• Nonperturbative light-front Hamiltonian methods
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• Discrete Symmetries on the Light Front and a General Relation Connecting Nucleon Electric Dipole and Anomalous Magnetic Moments
• Decay constants of the pion and its excitations in holographic QCD
• The study of leading twist light cone wave functions of 2S state charmonium mesons
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Cited by in corpus (82)

• Universality of Generalized Parton Distributions in Light-Front Holographic QCD
• Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
• Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
• Pion and kaon parton distribution functions from basis light front quantization and QCD evolution
• Basis light front quantization for the charged light mesons with color singlet Nambu--Jona-Lasinio interactions
• Nucleon structure from basis light-front quantization
• Relativistic corrections to the vector meson light front wave function
• Proton structure from a light-front Hamiltonian
• Parton Distribution Functions of Heavy Mesons on the Light Front
• $B_c$ mesons and their properties on the light front
• Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization
• Bayesian inference of the fluctuating proton shape
• Light-Front Field Theory on Current Quantum Computers
• Heavy-Light Mesons on the Light Front
• Light mesons within the basis light-front quantization framework
• Solving hadron structures using the basis light-front quantization approach on quantum computers
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
• Radiative transitions between $0^{-+}$ and $1^{--}$ heavy quarkonia on the light front
• Angular momentum and generalized parton distributions for the proton with basis light-front quantization
• Nonperturbative strange-quark sea from lattice QCD, light-front holography, and meson-baryon fluctuation models
• Multi-quark matrix elements in the proton and three gluon exchange for exclusive ${\eta }_c$ production in photon-proton diffractive scattering
• Mixing effects on 1S and 2S state heavy mesons in the light-front quark model
• Renormalized quark-antiquark Hamiltonian induced by a gluon mass ansatz in heavy-flavor QCD
• Light-front holography with chiral symmetry breaking
• Spatial and Momentum Imaging of the Pion and Kaon
• Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach
• Dynamical spin effects in the holographic light-front wavefunctions of light pseudoscalar mesons
• Intrinsic Transverse Motion of the Pion's Valence Quarks
• All-charm tetraquark in front form dynamics
• Supersymmetry in the Double-Heavy Hadronic Spectrum
• Form Factors and Generalized Parton Distributions of Heavy Quarkonia in Basis Light Front Quantization
• Tomography of light mesons in light-cone quark model
• Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules
• Longitudinal dynamics and chiral symmetry breaking in holographic light-front QCD
• Transverse momentum structure of proton within the basis light-front quantization framework
• Spatial imaging of proton via leading-twist non-skewed GPDs with basis light-front quantization
• Going to the light front with contour deformations
• Ultrarelativistic quark-nucleus scattering in a light-front Hamiltonian approach
• Comparison of two Minkowski-space approaches to heavy quarkonia
• Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
• Frame dependence of form factors in light-front dynamics
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Pion to photon transition form factors with basis light-front quantization
• Light-front wavefunctions of mesons by design
• Two-photon transitions of charmonia on the light front
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• The ${\gamma }^{\ast }{\gamma }^{\ast }\to {\eta }_c(1S,2S)$ transition form factors for spacelike photons
• Twist-3 Generalized Parton Distribution for the Proton from Basis Light-Front Quantization
• Stress inside the pion in holographic light-front QCD
• Pion spectroscopy and dynamics using the holographic light-front Schrödinger equation and the 't Hooft equation
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Heavy quarkonia production at LHC and EIC using Basis Light-Front Quantization wavefunctions
• Efficient Quantum Simulation of QCD Jets on the Light Front
• Hadron Spectra, Decays and Scattering Properties within Basis Light Front Quantization
• Pions valence quark distributions in asymmetric nuclear matter at finite temperature
• Frame dependence of transition form factors in light-front dynamics
• Longitudinal dynamics for mesons on the light cone
• Photon-Odderon interference in exclusive ${\chi }_c$ charmonium production at the Electron-Ion Collider
• Scattering in strong electromagnetic fields: transverse size effects in tBLFQ
• Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian
• Partonic distribution functions and amplitudes using tensor network methods
• Stress out of charmonia
• Gravitational form factor $D$ of charmonium from shear stress
• The light front wave functions and diffractive electroproduction of vector mesons
• Probing the structure of ${\chi }_{c1}(3872)$ with photon transition form factors
• Semileptonic Decay of $B_c$ to ${\eta }_c$ and $J/\psi$ on the Light Front
• Complete calculation of exclusive heavy vector meson production at next-to-leading order in the dipole picture
• Spectroscopy of excited quarkonium states in the light-front quark model
• Relativistic dynamics of charmonia in strong magnetic fields
• Dissecting a strongly coupled scalar nucleon
• Heavy and heavy-light mesons in the Covariant Spectator Theory
• On the light-front wave functions of quarkonia
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Double parton distributions of the proton from basis light-front quantization
• Shedding light on charmonium
• The Properties of Radially Excited Charmonia in The Light Front Quark Model
• Ab Initio No Core Shell Model with Leadership-Class Supercomputers
• Anisotropic flow and the valence quark skeleton of hadrons
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
• Frame dependence of transition form factors in light-front dynamics
• Ground state pseudoscalar mesons on the light front: from the light to heavy sector
• Valence structures of light and strange mesons from the basis light-front quantization framework