Re-Study on the wave functions of ${\rm Y}(nS)$ states in LFQM and the radiative decays of ${\rm Y}(nS)\to {\eta }_b+\gamma$

Abstract

The Light-front quark model (LFQM) has been applied to calculate the transition matrix elements of heavy hadron decays. However, it is noted that using the traditional wave functions of the LFQM given in literature, the theoretically determined decay constants of the ${\rm Y}(nS)$ obviously contradict to the data. It implies that the wave functions must be modified. Keeping the orthogonality among the $nS$ states and fitting their decay constants we obtain a series of the wave functions for ${\rm Y}(nS)$. Based on these wave functions and by analogy to the hydrogen atom, we suggest a modified analytical form for the ${\rm Y}(nS)$ wave functions. By use of the modified wave functions, the obtained decay constants are close to the experimental data. Then we calculate the rates of radiative decays of ${\rm Y}(nS)\to {\eta }_b+\gamma$. Our predictions are consistent with the experimental data on decays ${\rm Y}(3S)\to {\eta }_b+\gamma$ within the theoretical and experimental errors.

arXiv comment10 pages, 2 figures, 1 table. Typos corrected and more discussions added. accepted for publication in Physical Review D

References in corpus (21)

• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• Mesons with Beauty and Charm: Spectroscopy
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• The Upsilon spectrum and m_b from full lattice QCD
• Observation of the bottomonium ground state in the decay Upsilon(3S) -> gamma eta_b
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Model-independent Study of Magnetic Dipole Transitions in Quarkonium
• Evidence for the eta_b(1S) Meson in Radiative Upsilon(2S) Decay
• Diquarks and Λ_{b}\toΛ_c weak decays
• Evaluating decay Rates and Asymmetries of ${\Lambda }_b$ into Light Baryons in LFQM
• Measurement of the eta_b(1S) mass and the branching fraction for Upsilon(3S) --> gamma eta_b(1S)
• Covariant light-front approach for heavy quarkonium: decay constants, P \to γγand V \to P γ
• Fine and Hyperfine Splittings of Charmonium and Bottomonium: An Improved Perturbative QCD Approach
• Whether new data on $D_s\to f_0(980)e^{+}{\nu }_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure
• Interpretation of the "$f_{D_s}$ puzzle" in SM and beyond
• Relativistic Bottomonium Spectrum from Anisotropic Lattices
• Hunting eta_b through radiative decay into J/psi
• Analysis on Heavy Quarkonia Transitions with Pion Emission in Terms of the QCD Multipole Expansion and Determination of Mass Spectra of Hybrids
• Light-front quark model analysis of heavy meson radiative decays
• Investigation of the bottomonium ground state η_b via its inclusive charm decays
• "Hard-scattering" approach to very hindered magnetic-dipole transitions in quarkonium

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