Quarkonium Wave Functions at the Origin

Abstract

We tabulate values of the radial Schrödinger wave function or its first nonvanishing derivative at zero quark-antiquark separation, for $c\bar{c}$, $c\bar{b}$, and $b\bar{b}$ levels that lie below, or just above, flavor threshold. These quantities are essential inputs for evaluating production cross sections for quarkonium states.

9 pages, RevTeX, no figures

Cited by in corpus (312)

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• ${\chi }_{cJ}$ production associated with a $c\bar{c}$ pair at hadron colliders
• Inclusive $J/\psi$ Productions at $e^{+}{e}^{-}$ Colliders
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• Excited Heavy Quarkonium Production at the LHC through $W$-Boson Decays
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• Exclusive decay of P-wave Bottomonium into double J/ψ
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• Gluon fragmentation into $B_c^{(\ast )}$ in NRQCD factorization
• Exclusive decay of ${\rm Y}$ into $J/\psi +{\chi }_{c0,1,2}$
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• The Next-to-Leading Order Corrections to Top Quark Decays to Heavy Quarkonia
• Production of the $X(4014)$ as the spin-2 partner of $X(3872)$ in $e^{+}{e}^{-}$ collisions
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• B-meson Semi-inclusive Decay to $2^{-+}$ Charmonium in NRQCD and X(3872)
• Prompt heavy quarkonium production in association with a massive (anti)bottom quark at the LHC
• $B\to {\chi }_{c0,2}K$ decays: a model estimation
• Upsilonium polarization as a touchstone in understanding the proton dynamics in QCD
• BEEC: An event generator for simulating the $B_c$ meson production at an $e^{+}{e}^{-}$ collider
• $D^{+}{D}^{-}$ hadronic atom and its production in $pp$ and $p\bar{p}$ collisions
• Bottomonium Production at the Tevatron and the LHC
• Production and polarization of Upsilon mesons in the k_T-factorization approach in more detail
• Hadronic decays of the spin-singlet heavy quarkomium under the principle of maximum conformality
• Next-to-leading order QCD corrections for the charmonium production via the channel $e^{+}{e}^{-}\to H(|c\bar{c}⟩)+\gamma$ round the $Z^0$ peak
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• Relating Quarkonium Wave Functions at the Origin
• Effects of The Initial Hadron in $B\to J/\psi +X$
• Exclusive and diffractive quarkonium -- pair production at the LHC and FCC
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• Excited heavy quarkonium production in Higgs boson decays
• Decay properties of the $Z_c(3900)$ through the Fierz rearrangement
• The prompt $J/\psi$ production in Association with a $c\bar{c}$ Pair within the Framework of Non-relativistic QCD via photon-photon collision at the International Linear Collider
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• Yields and polarizations of prompt $\jpsi$ and $\psits$ production in hadronic collisions
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• Shedding Light on Hadronization by Quarkonium Energy Correlator
• Inclusive J/ψProduction In ΥDecay Via Color-singlet Mechanism
• D-wave heavy quarkonium production in fixed target experiments
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• Variational Estimation of the Wave Function at Origin for Heavy Quarkonium
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• Nonfactorizable $B\to {\chi }_{c0}K$ decay and QCD factorization
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• NRQCD analysis of charmonium production with pion and proton beams at fixed-target energies
• $\mathcal{O}({\alpha }_s^2)$ corrections to $J/\psi +{\chi }_{c0,1,2}$ production at $B$ factories
• $P$-wave quarkonium wavefunctions at the origin in the $\overline{\mathrm{MS}}$ scheme
• Fixed-target charmonium production and pion parton distributions
• Spin Effects in Two Quark System and Mixed States
• Inclusive $h_c$ production and energy spectrum from $e^{+}{e}^{-}$ annihilation at Super $B$ factory
• A QCD space-time analysis of quarkonium formation and evolution in hadronic collisions
• Inclusive Production of $h_c(h_b)$ States via $e^{+}{e}^{-}$ Annihilation
• Search for $C=+$ charmonium and XYZ states in $e^{+}{e}^{-}\to \gamma +H$ at BESIII
• Probing the charm-Higgs Yukawa coupling via Higgs boson decay to $h_c$ plus a photon
• P-wave excited $B_c^{\ast \ast }$ meson photoproduction at the LHeC
• Radiative decays of $h_c$ to the light mesons ${\eta }^{(\prime )}$: A perturbative QCD calculation
• Next-to-leading-order QCD corrections to a vector bottomonium radiative decay into a charmonium
• Charm-pair Rescattering Mechanism for Charmonium Production in High-energy Collisions
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• Decay constant of $B_c^{\ast }$ accurate up to $\mathcal{O}({\alpha }_s^3)$
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• Relativistic corrections to the semi-inclusive decay of $\mathbf{\psi }$ and $\mathbf{{\rm Y}}$
• Inclusive decays of ${\eta }_b$ into $S$- and $P$-wave charmonium states
• Polarized J/psi production from B mesons at the Tevatron
• Double Spin Asymmetries in P-wave Charmonium Hadroproduction
• Comprehensive studies of ${\rm Y}$ inclusive production in $Z$ boson decay
• Associated Production of Bottomonia and Higgs Bosons at Hadron Colliders
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• $J/\psi$ $\to$ $D_{s,d}\pi$, $D_{s,d}K$ decays with perturbative QCD approach
• Kinematic distributions of the ${\eta }_c$ photoproduction in $ep$ collisions within the nonrelativistic QCD framework
• Double heavy quarkonium production in diffractive processes at the Run 2 LHC energy
• Production of $S$-wave charmonia in the soft gluon resummation approach using the NRQCD
• Statistical analysis of the azimuthal asymmetry in the $J/\psi$ leptoproduction in unpolarized $ep$ collisions
• Inclusive productions of ${\rm Y}(1S,2S,3S)$ and ${\chi }_b(1P,2P,3P)$ via the Higgs boson decay
• Electroweak production of ${\chi }_{Q1}$ states in $e^{+}{e}^{-}$ collisions: A brief review
• The studies on $Z\to {\rm Y}(1S)+g+g$ at the next-to-leading-order QCD accuracy
• Prompt $J/\psi$ photoproduction within the non-relativistic QCD framework at the CEPC
• CP Test in J/Psi -> gamma phi phi Decay
• A Study of Power Suppressed Contributions in $J/\psi \to p\bar{p}$ Decay
• ${\rm Y}$ Polarization at HERA-$B$
• FKS subtraction for quarkonium production at NLO
• Next-to-next-to-leading-order QCD corrections to double $J/\psi$ production at the $B$ factories
• Associated production of ${\rm Y}(1S)W$ at LHC in next-to-leading order QCD
• Fragmentation Function and Hadronic Production of the Heavy Supersymmetric Hadrons
• NLO QCD Corrections to ${\eta }_c+h_c(1P)/{\psi }_{1,2}(1D)$ Production at B-factories
• Next-to-leading order QCD corrections to ${\chi }_{cJ}{W}^{+}b$ associated production from top-quark decay
• Radiative $h_{c/b}$ decays to $\eta$ or ${\eta }^{\prime }$
• ${\eta }_c$ production associated with light hadrons at the B-factories and the future super B-factories
• Heavy Quarkonium Physics from Effective Field Theories
• Prompt $J/\psi$-pair production at the LHC: impact of loop-induced contributions and of the colour-octet mechanism
• Finding eta_c' and h_c at HERA-B
• Two-Spin Asymmetry for ${\psi }^{\prime }$ Photoproduction with Color-Octet Mechanism
• $B_c$ meson exclusive decays to a $P$-wave charmonium and a pion at NLO accuracy
• Baryon decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework
• Relativistic corrections to $\psi (nS)\to \rho \pi$ exclusive decays and their role in the understanding of the $\rho \pi$-puzzle
• Simple Baryon-Meson Mass Relations For A Logarithmic Interquark Potential
• Color-Octet Charmonium Production in Top Quark Decays
• The $P$-wave charmonium annihilation into two photons ${\chi }_{c0,c2}\to \gamma \gamma$ with high-order QCD corrections
• Understanding the $e^{+}{e}^{-}\to D^{(\ast )+}{D}^{(\ast )-}$ processes observed by Belle
• RPA Vector Meson Leptonic Widths
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• Study of charmonium production using decays to hadronic final states with the LHCb experiment
• Exclusive decays of χ_{bJ} and η_b into two charmed mesons
• Prompt $J/\psi$ production in associated with top quark pair at the LHC
• Impact of $Z\to {\eta }_{c,b}+g+g$ on the inclusive ${\eta }_{c,b}$ meson yield in $Z$-boson decay
• Doubly charmed baryon mass and wave function through a random walks method
• Radiative decays ${\chi }_{cJ}\to V\gamma$ within the QCD factorisation framework
• Spin Dependent Fragmentation Functions for Heavy Flavor Baryons and Single Heavy Hyperon Polarization
• Inclusive $J/\psi$ and ${\eta }_c$ production in ${\rm Y}$ decay at $\mathcal{O}({\alpha }_s^5)$ in nonrelativistic QCD factorization
• Diffractive $\varphi$ Production in a Perturbative QCD Model
• Dirac Equation Solution with Generalized tanh-Shaped Hyperbolic Potential: Application to Charmonium and Bottomonium Mass Spectra
• Inclusive ${\chi }_{cJ}$ production in ${\rm Y}$ decay at $\mathcal{O}({\alpha }_s^5)$ in NRQCD factorization
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• Revisit prompt $J/\psi$ production in associated with Higgs Boson via gluon fusion at the LHC
• Quarkonium Production through Hard Comover Rescattering in Polarized and Unpolarized pp Scattering
• ${\rm Y}$ electroproduction at HERA, EIC, and LHeC within the nonrelativistic QCD framework
• Hunting for possible Higgs-like boson beyond the Standard Model
• Exclusive decays ${\chi }_{cJ}\to K^{\ast }(892)K$ within the effective field theory framework
• ${\psi }^{\prime }$ productions as a test of color-octet mechanism
• Production of leptonium in heavy quarkonium decays
• Exclusive process $\gamma \gamma \to J/\psi +\gamma$ production in ultraperipheral proton and nuclear collisions at the HL-LHC and FCC
• $X(3860)$ production in association with $J/\psi$ via $e^{+}{e}^{-}$ annihilation at Belle
• Automated event generation for S-wave quarkonium and leptonium production in NRQCD and NRQED
• A description of charmonia decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework
• Quark polarization and transverse momentum effects on double quarkonium production in hadronic collisions