Euler and correlated harmonic-oscillator wave function for the trinucleon bound-state

1991 ◽  
Vol 11 (2-3) ◽  
pp. 111-120 ◽  
Author(s):  
A. Kievsky ◽  
M. Viviani ◽  
S. Rosati
Keyword(s):  
Wave Function ◽  
Harmonic Oscillator ◽  
Bound State ◽  
Oscillator Wave Function ◽  
Harmonic Oscillator Wave Function

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.

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

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.

WEAK LEPTONIC DECAY OF LIGHT AND HEAVY PSEUDOSCALAR MESONS IN A FIELD-THEORETIC QUARK MODEL

1993 ◽  
Vol 08 (29) ◽  
pp. 2775-2783 ◽  
Author(s):  
L. MAHARANA ◽  
A. NATH ◽  
A. R. PANDA
Keyword(s):  
Harmonic Oscillator ◽  
Quark Model ◽  
Constituent Quark ◽  
Leptonic Decay ◽  
Decay Constants ◽  
Quark Masses ◽  
Leptonic Decays ◽  
Pseudoscalar Mesons ◽  
Oscillator Wave Function ◽  
Harmonic Oscillator Wave Function

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.

The Hidden Variables Theory

2021 ◽  
Author(s):  
Israel Fried
Keyword(s):  
Wave Function ◽  
Magnetic Flux ◽  
W Boson ◽  
Energy Levels ◽  
Center Of Mass ◽  
Hidden Variables ◽  
Bound State ◽  
Electron Mass ◽  
Charged Mesons ◽  
New Variables

The book presents a new concept on several physics topics. The initial values are non-relativistic quantities of subatomic particles which the values obtained in experiments are actually their relativistic reflection. The subjects in the book are presented in such order that each new topic is based on the development of its predecessor that explains where it stems from. The book presents methods of analyzing traditional physics concepts to extract hidden embedded information that reveals new variables which are combined with those known. The new formulas yield results that match experiments accurately. It presents discoveries as: The electric charge of subatomic particle results directly from its OAM (Orbital Angular Momentum). OAM Offset exhibits neutral state. The electron mass is a magnitude that expresses quantitatively the square of its magnetic flux quantum, hence this mass in the Wave Function yields solutions that their squared values represent the flow pattern of magnetic flux surrounding electrons at energy levels, contrary to probability density describing odds of locating electron in atom. In calculation of hydrogen's wave function the electron and proton constitute one entity. Hence zero OAM at ground state determined by computational and experimental means is due to OAM offset of electron and proton rotation in opposite directions at center of mass. The proton, neutron and all baryons consist of three energy levels on which the quarks are orbiting. The third energy level of 80.5Gev plays a major role in the weak force while it is filled by charged mesons that are emitted thru W boson while acquiring the level's energy. The OAM of the orbiting quarks are third or two thirds of the reduced Planck constant. The proton missing spin is resolved by the OAM of quarks. The Electron is bound state composition of a negative Pion and an Electron's neutrino. The theory predicts a neutral boson of 160Gev (Accompanied by W+ boson from 240Gev decaying particle).

The Hidden Variables Theory

2021 ◽  
Author(s):  
Israel Fried
Keyword(s):  
Wave Function ◽  
Magnetic Flux ◽  
W Boson ◽  
Energy Levels ◽  
Center Of Mass ◽  
Hidden Variables ◽  
Bound State ◽  
Electron Mass ◽  
Charged Mesons ◽  
New Variables

The book presents a new concept on several physics topics. The initial values are non-relativistic quantities of subatomic particles which the values obtained in experiments are actually their relativistic reflection. The subjects in the book are presented in such order that each new topic is based on the development of its predecessor that explains where it stems from. The book presents methods of analyzing traditional physics concepts to extract hidden embedded information that reveals new variables which are combined with those known. The new formulas yield results that match experiments accurately. It presents discoveries as: The electric charge of subatomic particle results directly from its OAM (Orbital Angular Momentum). OAM Offset exhibits neutral state. The electron mass is a magnitude that expresses quantitatively the square of its magnetic flux quantum, hence this mass in the Wave Function yields solutions that their squared values represent the flow pattern of magnetic flux surrounding electrons at energy levels, contrary to probability density describing odds of locating electron in atom. In calculation of hydrogen's wave function the electron and proton constitute one entity. Hence zero OAM at ground state determined by computational and experimental means is due to OAM offset of electron and proton rotation in opposite directions at center of mass. The proton, neutron and all baryons consist of three energy levels on which the quarks are orbiting. The third energy level of 80.5Gev plays a major role in the weak force while it is filled by charged mesons that are emitted thru W boson while acquiring the level's energy. The OAM of the orbiting quarks are third or two thirds of the reduced Planck constant. The proton missing spin is resolved by the OAM of quarks. The Electron is bound state composition of a negative Pion and an Electron's neutrino. The theory predicts a neutral boson of 160Gev (Accompanied by W+ boson from 240Gev decaying particle).

The Hidden Variables Theory

2021 ◽  
Author(s):  
Israel Fried
Keyword(s):  
Wave Function ◽  
Magnetic Flux ◽  
W Boson ◽  
Energy Levels ◽  
Center Of Mass ◽  
Hidden Variables ◽  
Bound State ◽  
Electron Mass ◽  
Charged Mesons ◽  
New Variables

The book presents a new concept on several physics topics. The initial values are non-relativistic quantities of subatomic particles which the values obtained in experiments are actually their relativistic reflection. The subjects in the book are presented in such order that each new topic is based on the development of its predecessor that explains where it stems from. The book presents methods of analyzing traditional physics concepts to extract hidden embedded information that reveals new variables which are combined with those known. The new formulas yield results that match experiments accurately. It presents discoveries as: The electric charge of subatomic particle results directly from its OAM (Orbital Angular Momentum). OAM Offset exhibits neutral state. The electron mass is a magnitude that expresses quantitatively the square of its magnetic flux quantum, hence this mass in the Wave Function yields solutions that their squared values represent the flow pattern of magnetic flux surrounding electrons at energy levels, contrary to probability density describing odds of locating electron in atom. In calculation of hydrogen's wave function the electron and proton constitute one entity. Hence zero OAM at ground state determined by computational and experimental means is due to OAM offset of electron and proton rotation in opposite directions at center of mass. The proton, neutron and all baryons consist of three energy levels on which the quarks are orbiting. The third energy level of 80.5Gev plays a major role in the weak force while it is filled by charged mesons that are emitted thru W boson while acquiring the level's energy. The OAM of the orbiting quarks are third or two thirds of the reduced Planck constant. The proton missing spin is resolved by the OAM of quarks. The Electron is bound state composition of a negative Pion and an Electron's neutrino. The theory predicts a neutral boson of 160Gev (Accompanied by W+ boson from 240Gev decaying particle).

scholarly journals Energy and Wave function Analysis on Harmonic Oscillator Under Simultaneous Non-Hermitian Transformations of Co-ordinate and Momentum: Iso-spectral case

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 492-497
Author(s):  
Biswanath Rath ◽  
P. Mallick
Keyword(s):  
Wave Function ◽  
Perturbation Theory ◽  
Harmonic Oscillator ◽  
Function Analysis ◽  
Energy Eigenvalue ◽  
Algebraic Approach ◽  
Wave Function Analysis ◽  
Wavefunction Analysis

AbstractWe present a complete energy and wavefunction analysis of a Harmonic oscillator with simultaneous non-hermitian transformations of co-ordinate $(x \rightarrow \frac{(x + i\lambda p)}{\sqrt{(1+\beta \lambda)}})$ and momentum $(p \rightarrow \frac {(p+i\beta x)}{\sqrt{(1+\beta \lambda)}})$ using perturbation theory under iso-spectral conditions. We observe that two different frequencies of oscillation (w1, w2)correspond to the same energy eigenvalue, - which can also be verified using a Lie algebraic approach.

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