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.

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.

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 Results of calculations of atomic wave functions IV—Results for F - , Al +3 , and Rb +

1935 ◽  
Vol 151 (872) ◽  
pp. 96-105 ◽  
Author(s):  
Douglas Rayner Hartree
Keyword(s):  
Energy Parameter ◽  
Wave Functions ◽  
Numerical Accuracy ◽  
Radial Wave ◽  
Atomic Wave ◽  
Consistent Field ◽  
Self Consistent Field ◽  
The One ◽  
High Degree ◽  
Radial Wave Equation

In three previous papers, results of calculations of atomic wave functions, carried out by the method of the self-consistent field to a fairly high degree of numerical accuracy (for work of this kind), have been given for a number of atoms. The present paper gives further results of this kind for F - , Al +3 , and Rb + . Similar calculations are in progress for Ag + , and the results of the preliminary stages of the calculation have been given by Miss Black. The results here given are presented in the same form as in previous papers, namely:― (1) Unnormalized radial wave functions P, and the values of the normalization integral ∫ 0 ∞ P 2 dr , and of the energy parameter ε in the one-electron radial wave equation, for each function P; also values of P/ r l + 1 for small r .

Symmetry Reductions and Group-Invariant Radial Solutions to the n-Dimensional Wave Equation

2018 ◽  
Vol 73 (2) ◽  
pp. 161-170 ◽  
Author(s):  
Wei Feng ◽  
Songlin Zhao
Keyword(s):  
Wave Equation ◽  
Differential Equations ◽  
Symmetry Group ◽  
Group Method ◽  
Radial Solutions ◽  
Radial Wave ◽  
One Dimensional ◽  
Group Invariant ◽  
Dimensional Wave ◽  
Radial Wave Equation

AbstractIn this paper, we derive explicit group-invariant radial solutions to a class of wave equation via symmetry group method. The optimal systems of one-dimensional subalgebras for the corresponding radial wave equation are presented in terms of the known point symmetries. The reductions of the radial wave equation into second-order ordinary differential equations (ODEs) with respect to each symmetry in the optimal systems are shown. Then we solve the corresponding reduced ODEs explicitly in order to write out the group-invariant radial solutions for the wave equation. Finally, several analytical behaviours and smoothness of the resulting solutions are discussed.

scholarly journals Channels of energy for the linear radial wave equation

2015 ◽  
Vol 285 ◽  
pp. 877-936 ◽  
Author(s):  
Carlos Kenig ◽  
Andrew Lawrie ◽  
Baoping Liu ◽  
Wilhelm Schlag
Keyword(s):  
Wave Equation ◽  
Radial Wave ◽  
Radial Wave Equation

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
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