scholarly journals Wave functions and leptonic decays of bottom mesons in the relativistic potential model

2019 ◽  
Vol 99 (9) ◽  
Author(s):  
Hao-Kai Sun ◽  
Mao-Zhi Yang
Keyword(s):  
Potential Model ◽  
Wave Functions ◽  
Leptonic Decays ◽  
Decays Of Bottom Mesons ◽  
Bottom Mesons ◽  
Relativistic Potential

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.

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.

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