scholarly journals Wave functions and decay constants of B and D mesons in the relativistic potential model

2012 ◽  
Vol 72 (2) ◽  
Author(s):  
Mao-Zhi Yang
Keyword(s):  
Potential Model ◽  
D Mesons ◽  
Wave Functions ◽  
Decay Constants ◽  
Relativistic Potential

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.

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.

Decay constants of heavy mesons from a QCD relativistic potential model

1988 ◽  
Vol 206 (4) ◽  
pp. 691-695 ◽  
Author(s):  
P. Cea ◽  
P. Colangelo ◽  
L. Cosmai ◽  
G. Nardulli
Keyword(s):  
Potential Model ◽  
Heavy Mesons ◽  
Decay Constants ◽  
Relativistic Potential

scholarly journals Charmonium Properties

2020 ◽  
Keyword(s):  
Experimental Data ◽  
Excited States ◽  
Cross Sections ◽  
Mass Spectra ◽  
Potential Model ◽  
Decay Constants ◽  
Theoretical Approaches ◽  
Relativistic Potential ◽  
Data Group ◽  
Good Agreement

We calculated the mass spectra of charmonium meson by using matrix method to make the predictions of ground and radially excited states of charmonium mesons via non-relativistic potential model. We compared our results with other theoretical approaches and recently published experimental data. The predictions are found to be in a good accordance with the latest experimental results of Particle data group and with the results of other theoretical approaches. Besides, we calculated the momentum width coefficients β of charmonium meson. Since, there are no experimental data for the momentum width coefficients β of charmonium meson yet. Consequently, our calculated coefficients β are compared with other theoretical studies and it is found to be in a good agreement with our results. The obtained results of coefficients β have implications for decay constants, decay widths and differential cross sections for charmonium system and generally for heavy mesons system. Our study is considered as theoretical calculation of some properties of charmonium meson.

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