Transitions ofBc→ψ(1S,2S)and the modified harmonic oscillator wave function in the light front quark model

Weak leptonic decays of light and heavy pseudoscalar mesons are studied in a field-theoretic quark model where the mesons are described by constituent quarks and antiquarks with a particular ansatz and a Harmonic oscillator wave function. With constituent quark masses and Harmonic oscillator radii for mesons as parameters of the model, decay constants are calculated and found as (fπ, fk, fD, fB) = (132 MeV , 161 MeV , 160 MeV , 115 MeV ) indicating a reasonable agreement with the experimental data wherever available. Partial decay widths and branching ratios for kinematically allowed leptonic decay processes are also estimated and compared with the experiments wherever available.

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COLOR-STRAIGHT FOUR-QUARK OPERATORS AND LIFETIMES OF b-FLAVORED HADRONS

International Journal of Modern Physics A ◽

10.1142/s0217751x00001440 ◽

2000 ◽

Vol 15 (19) ◽

pp. 3053-3063

Author(s):

S. ARUNAGIRI

Keyword(s):

Wave Function ◽

Form Factor ◽

Harmonic Oscillator ◽

Oscillator Strength ◽

Light Quark ◽

Numerical Prediction ◽

Expectation Values ◽

Oscillator Wave Function ◽

Harmonic Oscillator Wave Function ◽

Quark Scattering

Using the relation between the harmonic oscillator wave function and the light quark scattering form factor, the expectation values of color-straight four-quark operators are evaluated and found to be directly proportional to the cubic power of the oscillator strength. It is predicted that the ratio τ(Λb)/τ(B)≈0.79(0.84) due to the factorizable (nonfactorizable) piece, against the experimental 0.79±0.06. Notwithstanding the numerical prediction, the present study shows that the four-quark operators play a role as far the lifetimes of b-flavored hadrons are concerned.

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Unified treatment of Franck–Condon Factors over harmonic oscillator wave function using binomial expansion theorems

Journal of Molecular Structure ◽

10.1016/j.molstruc.2013.06.007 ◽

2013 ◽

Vol 1048 ◽

pp. 301-307 ◽

Cited By ~ 3

Author(s):

B.A. Mamedov ◽

H. Koç ◽

N. Sünel

Keyword(s):

Wave Function ◽

Harmonic Oscillator ◽

Binomial Expansion ◽

Oscillator Wave Function ◽

Condon Factors ◽

Harmonic Oscillator Wave Function ◽

Franck Condon

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Analytical Evaluation of Two-Center Franck-Condon Overlap Integrals over Harmonic Oscillator Wave Function

Zeitschrift für Naturforschung A ◽

10.1515/zna-2006-3-406 ◽

2006 ◽

Vol 61 (3-4) ◽

pp. 141-145 ◽

Cited By ~ 5

Author(s):

Israfil I. Guseinov ◽

Bahtiyar A. Mamedov ◽

Arife S. Ekenoğlu

Keyword(s):

Wave Function ◽

Harmonic Oscillator ◽

Numerical Results ◽

Binomial Coefficients ◽

Overlap Integrals ◽

Analytical Evaluation ◽

Cpu Time ◽

Oscillator Wave Function ◽

Harmonic Oscillator Wave Function ◽

Franck Condon

A unified treatment of Franck-Condon (FC) overlap integrals with arbitrary values of parameters is described. These integrals are represented in terms of binomial coefficients. For quick calculations, the binomial coefficients are stored in the memory of the computer. Therefore, the CPU time has been greatly reduced. Numerical results presented agree excellently with those obtained in the literature

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CHARMONIUM SPECTRA AND DECAYS IN A SEMIRELATIVISTIC MODEL

International Journal of Modern Physics A ◽

10.1142/s0217751x12501278 ◽

2012 ◽

Vol 27 (22) ◽

pp. 1250127 ◽

Cited By ~ 2

Author(s):

BHAGHYESH ◽

K. B. VIJAYA KUMAR

Keyword(s):

Wave Function ◽

Wave Equation ◽

Mass Spectra ◽

Three Dimensional ◽

Theoretical Models ◽

Model Parameters ◽

Decay Properties ◽

Oscillator Wave Function ◽

Harmonic Oscillator Wave Function ◽

Relativistic Kinetic Energy

We investigate the spectra and decays of charmonium [Formula: see text] system in a semirelativistic potential model. The Hamiltonian of our model consists of a relativistic kinetic energy term, a vector Coulomb-like potential and a scalar confining potential. From this Hamiltonian a spinless wave equation is obtained. The wave equation is then reduced to the form of a single particle Schrödinger equation. The spin dependent potentials are introduced as a perturbation. The three-dimensional harmonic oscillator wave function is employed as a trial wave function and the [Formula: see text] mass spectra is obtained by the variational method. The model parameters and the wave function that reproduce the mass spectra of the [Formula: see text] mesons are then used to investigate some of the decay properties. The results obtained are then compared with the experimental data and with the predictions of other theoretical models. We also propose possible [Formula: see text] assignments for the recently observed charmonium or charmonium-like states.

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Mass Spectra and Decay Constants of Heavy-Light Mesons: A Case Study of QCD Sum Rules and Quark Model

Advances in High Energy Physics ◽

10.1155/2018/8095653 ◽

2018 ◽

Vol 2018 ◽

pp. 1-8 ◽

Cited By ~ 5

Author(s):

Halil Mutuk

Keyword(s):

Quark Model ◽

Mass Spectra ◽

Sum Rules ◽

Theoretical Studies ◽

Sum Rule ◽

Decay Constants ◽

Oscillator Wave Function ◽

Light Mesons ◽

Harmonic Oscillator Wave Function

We visited mass spectra and decay constants of pseudoscalar and vector heavy-light mesons (B, Bs, D, and DS) in the framework of QCD sum rule and quark model. The harmonic oscillator wave function was used in quark model while a simple interpolating current was used in QCD sum rule calculation. We obtained good results in accordance with the available experimental data and theoretical studies.

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EXCLUSIVE SEMILEPTONIC DECAYS OF D AND B-MESONS IN A RELATIVISTIC QUARK MODEL

International Journal of Modern Physics A ◽

10.1142/s0217751x98001797 ◽

1998 ◽

Vol 13 (22) ◽

pp. 3815-3833 ◽

Cited By ~ 1

Author(s):

A. R. PANDA ◽

R. K. SAHOO

Keyword(s):

Quark Model ◽

B Mesons ◽

Reasonable Agreement ◽

Form Factors ◽

Semileptonic Decays ◽

Effective Theory ◽

Model Calculations ◽

Quark Field ◽

Oscillator Wave Function ◽

Harmonic Oscillator Wave Function

The exclusive semileptonic decays like D0 and B0 mesons are studied in the framework of a relativistic field-theoretic quark model, where translationally invariant hadronic states are described by constituent quark field operators satisfying equal time algebra and a harmonic oscillator wave function. The present estimations to the relevant form factors and their q2 dependence, without any free parameters, show a reasonable agreement with the available experimental measurements and Heavy Quark Effective Theory (HQET) and other model calculations. Further, the calculated decay widths and their ratios, and the polarization ratios for decay processes also have a reasonable agreement with the available experiments and other model estimations.

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