scholarly journals S-Wave Heavy Quarkonium Spectra: Mass, Decays, and Transitions

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Halil Mutuk
Keyword(s):  
Logarithmic Potential ◽  
Heavy Quarkonium ◽  
Theoretical Studies ◽  
S Wave ◽  
Potential Models ◽  
Decay Constants ◽  
Two Photon ◽  
Regge Trajectories ◽  
Decay Widths ◽  
Hyperfine Splittings

In this paper we revisited phenomenological potentials. We studied S-wave heavy quarkonium spectra by two potential models. The first one is power potential and the second one is logarithmic potential. We calculated spin averaged masses, hyperfine splittings, Regge trajectories of pseudoscalar and vector mesons, decay constants, leptonic decay widths, two-photon and two-gluon decay widths, and some allowed M1 transitions. We studied ground and 4 radially excited S-wave charmonium and bottomonium states via solving nonrelativistic Schrödinger equation. Although the potentials which were studied in this paper are not directly QCD motivated potential, obtained results agree well with experimental data and other theoretical studies.

scholarly journals Radiative Decay Widths of Ground and Excited States of Vector Charmonium and Bottomonium

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Hluf Negash ◽  
Shashank Bhatnagar
Keyword(s):  
Mass Spectrum ◽  
Excited States ◽  
Mass Spectra ◽  
Reasonable Agreement ◽  
Radiative Decay ◽  
Decay Constants ◽  
Two Photon ◽  
Quantum Numbers ◽  
Decay Widths ◽  
Input Parameters

We study the radiative decay widths of vector quarkonia for the process of J/ψ(nS)→ηc(nS)γ and Υ(nS)→ηb(nS)γ (for principal quantum numbers n=1,2,3) in the framework of Bethe-Salpeter equation under the covariant instantaneous ansatz using a 4×4 form of BSE. The parameters of the framework were determined by a fit to the mass spectrum of ground states of pseudoscalar and vector quarkonia, such as ηc, ηb, J/ψ, and Υ. These input parameters so fixed were found to give good agreements with data on mass spectra of ground and excited states of pseudoscalar and vector quarkonia, leptonic decay constants of pseudoscalar and vector quarkonia, two-photon decays, and two-gluon decays of pseudoscalar quarkonia in our recent paper. With these input parameters so fixed, the radiative decay widths of ground (1S) and excited (2S,3S) states of heavy vector quarkonia (J/Ψ and Υ) are calculated and found to be in reasonable agreement with data.

Principle-of-minimal-sensitivity-corrected quantities in heavy quarkonia

1988 ◽  
Vol 66 (2) ◽  
pp. 112-125
Author(s):  
Anthony V. Dentamaro ◽  
Gary R. Goldstein
Keyword(s):  
Electric Dipole Transition ◽  
Dipole Transition ◽  
Hadronic Decay ◽  
Transition Rates ◽  
Single Model ◽  
Potential Models ◽  
Decay Widths ◽  
Phenomenological Potential ◽  
Hyperfine Splittings ◽  
Best Fit

Stevenson's principle of minimal sensitivity is used in renormalizing radiative corrections to hyperfine splittings, leptonic and hadronic decay widths, and electric-dipole transition rates. Numerical values for these quantities are presented for the charmonium and bottomonium systems, enlisting several nonrelativistic phenomenological potential models to determine the best fit to the experimental data. It is shown that good results may be obtained within a single model in which the value of ΛQCD is calculated and kept constant for all predictions within that model.

scholarly journals S-wave quarkonia in potential models

2006 ◽  
Vol 32 (12) ◽  
pp. S515-S519 ◽  
Author(s):  
Ágnes Mócsy ◽  
Péter Petreczky
Keyword(s):  
S Wave ◽  
Potential Models

scholarly journals Decay Constants of S Wave Heavy Quarkonia

2020 ◽  
Vol 59 (7) ◽  
pp. 2016-2028
Author(s):  
Bhaghyesh Azhothkaran ◽  
Nilakanthan V. K.
Keyword(s):  
Heavy Quarkonia ◽  
S Wave ◽  
Decay Constants

scholarly journals MODEL INDEPENDENT RESULTS FOR HEAVY QUARKONIUM

2004 ◽  
Vol 19 (21) ◽  
pp. 1563-1576
Author(s):  
JOAN SOTO
Keyword(s):  
Effective Field Theories ◽  
Effective Field ◽  
Field Theories ◽  
Heavy Quarkonium ◽  
Potential Models ◽  
Inclusive Decays ◽  
Model Independent ◽  
Relativistic Potential ◽  
Effective Theories

We review a number of results for the spectrum and inclusive decays of heavy quarkonium systems which can be derived from QCD under well controlled approximations. They essentially follow from the hierarchy of scales in these systems, which can be efficiently exploited using non-relativistic effective field theories. In particular, we discuss under which conditions non-relativistic potential models emerge as effective theories of QCD.

scholarly journals SCALING RELATION FOR THE $\Upsilon (4S)\to B\bar{B}$ AND $\psi (3770)\to D\bar{D}$ DECAY CONSTANTS FROM PHENOMENOLOGICAL SUM RULES

1995 ◽  
Vol 10 (28) ◽  
pp. 2113-2123 ◽  
Author(s):  
V.V. KISELEV
Keyword(s):  
Sum Rules ◽  
Heavy Meson ◽  
Scaling Relation ◽  
Coupling Constant ◽  
Exclusive Production ◽  
Decay Constants ◽  
Meson Coupling ◽  
Decay Widths ◽  
Heavy Quark Limit ◽  
Pair Contribution

The sum rules for exclusive production of heavy meson pairs in e+e− annihilation are used to evaluate the [Formula: see text] and [Formula: see text] decay widths. Infinitely heavy quark limit is discussed, and the scaling relation for the quarkonium-meson coupling constant is derived. The [Formula: see text] pair contribution into the leptonic constant fϒ(4S) is estimated.

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