Leptonic and Digamma decay Properties of S-wave quarkonia states

Abstract

Based on Martin like potential, the S-wave masses of quarkonia have been reviewed. Resultant wave functions at zero inter quark separation are employed to compute the hyperfine splitting of the nS states and the leptonic and digamma decay widths of $n{}^3{S}_1$ and $n{}^1{S}_0$ states of quarkonia respectively. Analysis on the level differences of S-wave excited states of quantum mechanical bound systems show a systematic behaviour as n-increases. In view of such systematic behaviour expected for quarkonia, we observe that Y(4263) and X(4630) $1^{--}$ states are closer to the 4S and 6S states while $\psi (4415)$ and Z(4430) are closer to the 5S state of $c\bar{c}$ systems. Similarly we find ${\rm Y}(10865)$ is not fit to be the 5S state of $b\bar{b}$ system. while $Y_b(10880)$ observed by Belle or (10996) observed by Babar fit to be the 6S state of bottonia. Our predicted leptonic width, 0.242 keV of ${\rm Y}(10579,4S)$ is in good agreement with the experimental value of 0.272 $\pm$ 0.029 keV. We predict the leptonic widths of the pure 5S and 6S states of upsilon states as 0.191 keV and 0.157 keV respectively. In the case of charmonia, we predict the leptonic widths of the 4S, 5S and 6S states as 0.654 keV, 0.489 keV and 0.387 keV respectively.

arXiv comment4 pages, 2 figures

References in corpus (38)

• Heavy quarkonium: progress, puzzles, and opportunities
• Observation of a Broad Structure in the ${\pi }^{+}{\pi }^{-}J/\psi$ Mass Spectrum around 4.26 GeV/$c^2$
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Measurement of e^+e^- to pi^+pi^-J/psi Cross Section via Initial State Radiation at Belle
• Measurements of the Cross Section for e+e- -> hadrons at Center-of-Mass Energies from 2 to 5 GeV
• Charmonium Decays of $Y(4260), psi(4160), and psi(4040)
• The Upsilon spectrum and m_b from full lattice QCD
• Confirmation of the Y(4260) Resonance Production in ISR
• Observation of anomalous Upsilon(1S)pi+pi- and Upsilon(2S)pi+pi- production near the Upsilon(5S) resonance
• Observation of the bottomonium ground state in the decay Upsilon(3S) -> gamma eta_b
• Dalitz analysis of B --> K pi psi' decays and the Z(4430)+
• Potential model calculations and predictions for heavy quarkonium
• Determination of the $\psi (3770)$, $\psi (4040)$, $\psi (4160)$ and $\psi (4415)$ resonance parameters
• Properties of $Q\bar{Q}$ mesons in non-relativistic QCD formalism
• Observation of the chi_c2(2P) meson in the reaction gamma gamma -> D Dbar at BABAR
• Meson--photon transition form factors and resonance cross-sections in e^+ e^- collisions
• Measurements of h_c(^1P_1) in psi' Decays
• Quarkonium mass splittings in three-flavor lattice QCD
• Evidence for the eta_b(1S) Meson in Radiative Upsilon(2S) Decay
• First Observation of a Upsilon(1D) State
• Observation of an enhancement in $e^{+}{e}^{-}\to {\rm Y}(1S){\pi }^{+}{\pi }^{-}$, ${\rm Y}(2S){\pi }^{+}{\pi }^{-}$, and ${\rm Y}(3S){\pi }^{+}{\pi }^{-}$ production around $\sqrt{s}=10.89$ GeV at Belle
• Observation of an enhancement in e+e- to Upsilon(1S)pi+pi-, Upsilon(2S)pi+pi-, and Upsilon(3S)pi+pi- production near sqrt{s}=10.89 GeV at Belle
• Measurement of the eta_b(1S) mass and the branching fraction for Upsilon(3S) --> gamma eta_b(1S)
• An Explanation for the rho-pi Puzzle of J/psi and psi' Decays
• Dielectron widths of the S-, D-vector bottomonium states
• The bottomonium spectrum from lattice QCD with 2+1 flavors of domain wall fermions
• Observation of the ${\rm Y}(1^3{D}_J)$ Bottomonium State through Decays to ${\pi }^{+}{\pi }^{-}{\rm Y}(1S)$
• Tests of Two-Body Dirac Equation Wave Functions in the Decays of Quarkonium and Positronium into Two Photons
• Mixed Heavy Quark Hybrid Mesons, Decay Puzzles, and RHIC
• Masses of light mesons in the relativistic quark model
• Two-Photon Widths of the chi_cJ States of Charmonium
• Hyperfine splittings in the $b\bar{b}$ system
• Annihilation Rate of Heavy 0^{++} P-wave Quarkonium in Relativistic Salpeter Method
• Decay rates of quarkonia with NRQCD formalism using spectroscopic parameters of potential models
• The Decay ${\eta }_c\to \gamma \gamma$ : A Test for Potential Models
• Hybrid States from Constituent Glue Model
• Spin Effects in Two Quark System and Mixed States
• The hybrid meson: new results from the updated mg and alpha_s parameters

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