CHARMONIUM SPECTRA AND DECAYS IN A SEMIRELATIVISTIC MODEL

2012 ◽  
Vol 27 (22) ◽  
pp. 1250127 ◽  
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.

ORBITALLY EXCITED STATES OF QUARKONIA IN A NONRELATIVISTIC MODEL

2012 ◽  
Vol 27 (03n04) ◽  
pp. 1250011 ◽  
Author(s):  
BHAGHYESH ◽  
K. B. VIJAYA KUMAR ◽  
YONG-LIANG MA
Keyword(s):  
Wave Function ◽  
Excited States ◽  
Mass Spectra ◽  
Radiative Decay ◽  
Theoretical Models ◽  
Model Parameters ◽  
Linear Potential ◽  
S Wave ◽  
Oscillator Wave Function ◽  
Decay Widths

Having succeeded in predicting the S wave spectra and decays of [Formula: see text] and [Formula: see text] mesons, Bhaghyesh, K. B. Vijaya Kumar and A. P. Monteiro, J. Phys. G: Nucl. Part. Phys.38, 085001 (2011), in this article, we apply our nonrelativistic quark model to calculate the spectra and decays of the orbitally excited states (P- and D-waves) of heavy quarkonia. The full [Formula: see text] potential used in our model consists of a Hulthen potential and a confining linear potential. The spin hyperfine, spin-orbit and tensor interactions are introduced to obtain the masses of the P- and D-wave states. The three-dimensional harmonic oscillator wave function is employed as a trial wave function to obtain the mass spectra. The model parameters and the wave function that reproduce the mass spectra of [Formula: see text] and [Formula: see text] mesons are used to investigate their decay properties. The two-photon decay widths, two-gluon decay widths and E1 radiative decay widths are calculated. The obtained values are compared with the experimental results and those obtained from other theoretical models.

THEORETICAL MODELS FOR MAGNETIC PROPERTIES OF IRON PNICTIDES

2013 ◽  
Vol 27 (16) ◽  
pp. 1350071 ◽  
Author(s):  
M. VUJINOVIĆ ◽  
M. PANTIĆ ◽  
D. KAPOR ◽  
P. MALI
Keyword(s):  
Magnetic Properties ◽  
Heisenberg Model ◽  
Degrees Of Freedom ◽  
Random Phase ◽  
Three Dimensional ◽  
Theoretical Models ◽  
Wave Dispersion ◽  
Model Parameters ◽  
Neel Temperature ◽  
Néel Temperature

We attempt to describe the magnetic properties of parent pnictide compounds by using both the J1–J2 Heisenberg model and its three-dimensional generalization, the J1–J2–Jc model. We also include spin anisotropy in the XY plane. In order to obtain the average magnetization and spin wave dispersion, we use the Green's functions method for spin operators in the random phase approximation. We obtain estimates for the model parameters by considering the low temperature experimental dispersion for the compounds CaFe 2 As 2 and BaFe 2 As 2 and conclude that theoretical dispersion can fit the experimental one if spatially anisotropic Hamiltonian is used. A good agreement between theory and experiment indicates that the Heisenberg model is applicable to parent pnictides at low temperatures. The applicability of the model for higher temperatures is checked by calculating the Néel temperature for both compounds. It turns out that the model overestimates the measured critical temperature. The Heisenberg model is not applicable to parent pnictides, for temperature comparable to Néel temperature. Our results thus confirm that all the magnetic properties of parent pnictides cannot be described with purely localized degrees of freedom, and that the itinerant magnetism should have an important role in these compounds. All results given in Sec. 3 are general and could be used in description of classes of compounds with spin stripe structure.

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

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
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.

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

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.

scholarly journals Interactive, visual simulation of a spatio-temporal model of gas exchange in the human alveolus

2021 ◽  
Author(s):  
Kerstin Schmid ◽  
Andreas Knote ◽  
Alexander Mueck ◽  
Keram Pfeiffer ◽  
Sebastian von Mammen ◽  
...  
Keyword(s):  
Experimental Data ◽  
Gas Exchange ◽  
Three Dimensional ◽  
Theoretical Models ◽  
Simulation Software ◽  
Visual Simulation ◽  
Model Parameters ◽  
Interactive Simulation ◽  
Temporal Model ◽  
Spatio Temporal

In interdisciplinary fields such as systems biology, close collaboration between experimentalists and theorists is crucial for the success of a project. Theoretical modeling in physiology usually describes complex systems with many interdependencies. On one hand, these models have to be grounded on experimental data. On the other hand, experimenters must be able to penetrate the model in its dependencies in order to correctly interpret the results in the physiological context. When theorists and experimenters collaborate, communicating results and ideas is sometimes challenging. We promote interactive, visual simulations as an engaging way to communicate theoretical models in physiology and to thereby advance our understanding of the process of interest. We defined a new spatio-temporal model for gas exchange in the human alveolus and implemented it in an interactive simulation software named Alvin. In Alvin, the course of the simulation can be traced in a three-dimensional rendering of an alveolus and dynamic plots. The user can interact by configuring essential model parameters. Alvin allows to run and compare multiple simulation instances simultaneously. The mathematical model was developed with the aim of visualization and the simulation software was engineered based on a requirements analysis. Our work resulted in an integrative gas exchange model and an interactive application that exceed the current standards. We exemplified the use of Alvin for research by identifying unknown dependencies in published experimental data. Employing a detailed questionnaire, we showed the benefits of Alvin for education. We postulate that interactive, visual simulation of theoretical models, as we have implemented with Alvin on respiratory processes in the alveolus, can be of great help for communication between specialists and thereby advancing research.

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

2006 ◽  
Vol 61 (3-4) ◽  
pp. 141-145 ◽  
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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