BREIT-FERMI INTERACTIONS AND FINE-HYPERFINE SPLITTING IN HEAVY QUARKONIA

1989 ◽  
Vol 04 (13) ◽  
pp. 1277-1285 ◽  
Author(s):  
S. GHOSH ◽  
S. MUKHERJEE
Keyword(s):  
Hyperfine Splitting ◽  
Potential Model ◽  
Heavy Quarkonia ◽  
Exchange Potential ◽  
Hyperfine Splittings ◽  
Relativistic Potential ◽  
Fermi Type

The adequacy of using the Breit-Fermi type of interactions for describing the fine hyperfine splittings of heavy quarkonia has been examined critically. A potential model which just about accommodates the trend of the recent data on 1P1 states has been studied. The possibility of including the spin-dependent contributions of a pseudoscalar exchange potential is also considered. It is shown that the choice of the Breit-Fermi form for the spin-dependent interactions severely constrains the generally accepted non-relativistic potential and do not allow enough freedom to fit the recent data on 1P1 levels.

scholarly journals Mass Spectrum and Decay Constants of Heavy Quarkonia

2021 ◽  
Vol 58 (2) ◽  
pp. 73-83
Author(s):  
Tasawer Shahzad Ahmad ◽  
Talab Hussain ◽  
M. Atif Sultan
Keyword(s):  
Wave Equation ◽  
Mass Spectrum ◽  
Hyperfine Splitting ◽  
Potential Model ◽  
Wave Functions ◽  
Heavy Quarkonia ◽  
Radial Wave ◽  
Decay Constants ◽  
Relativistic Potential ◽  
Radial Wave Equation

In this paper, a non-relativistic potential model is used to find the solution of radial Schrodinger wave equation by using Crank Nicolson discretization for heavy quarkonia ( ̅, ̅). After solving the Schrodinger radial wave equation, the mass spectrum and hyperfine splitting of heavy quarkonia are calculated with and without relativistic corrections. The root means square radii and decay constants for S and P states of c ̅ and ̅ mesons by using the realistic and simple harmonic oscillator wave functions. The calculated results of mass, hyperfine splitting, root means square radii and decay constants agreed with experimental and theoretically calculated results in the literature.

HYPERFINE INTERACTIONS IN HEAVY QUARKONIA AND DECAY WIDTHS OF ηb STATES

1989 ◽  
Vol 04 (27) ◽  
pp. 2667-2674
Author(s):  
S. GHOSH ◽  
S. MUKHERJEE
Keyword(s):  
Wave Function ◽  
Large Class ◽  
Hyperfine Interactions ◽  
Heavy Quarkonia ◽  
Exact Results ◽  
Decay Widths ◽  
Hyperfine Splittings ◽  
S States ◽  
Fermi Type

It is noted that the fine hyperfine splittings in heavy quarkonia cannot be explained satisfactory by considering the usual Breit-Fermi type of interactions. Exact results or bounds will, therefore, be very useful in this context. Using Martin’s techniques, some weak inequalities for the values of the wave function at the origin for the triplet and singlet S-states have been derived for a large class of QǬ potentials, including the recently proposed Gupta’s potential. The inequalities could be used to predict bounds for the decay widths of the ηb states.

Chiral particle/Photon emission from heavy-light mesons

2014 ◽  
Vol 29 ◽  
pp. 1460239
Author(s):  
Takayuki Matsuki ◽  
Kohichi Seo
Keyword(s):  
Radiative Decay ◽  
Potential Model ◽  
Lorentz Invariance ◽  
Photon Emission ◽  
Wave Functions ◽  
Relativistic Wave ◽  
Decay Widths ◽  
Light Mesons ◽  
Relativistic Potential

Partial decay widths of the heavy-light mesons, D, Ds, B, and Bs, emitting one chiral particle (π or K) or photon γ are evaluated in the framework of a relativistic potential model. Decay amplitudes are calculated by keeping the Lorentz invariance as far as possible and use has been made of the Lorentz-boosted relativistic wave functions of the heavy-light mesons. One of predictions of our calculation is very narrow widths of a few keV for yet undiscovered Bs(0+, 1+) mesons corresponding to 2S+1LJ = 3P0 and "3P1" assuming their masses to be 5617 and 5682 MeV, respectively, as calculated in our former paper. Sizable radiative decay widths of D* or [Formula: see text] are obtained by including the 1st order corrections in 1/mQ expansion, in the unit of keV; Γ(D*0 → D0 + γ) = 9.8, Γ (D*+ → D+ + γ) = 0.71, [Formula: see text] and large radiative decay widths of DsJ are obtained compared with non-relativistic results.

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