arXiv subjects

E. S. William

Publications and source records attributed to E. S. William.

7 recordsLinked to original sources

arXiv2023

Solutions of the Schrödinger equation with Quarkonium potential to predict the mass-spectra of the heavy mesons via series expansion method

In this study, a quarkonium potential is adopted as the quark-antiquark interaction potential for predicting the mass spectra of heavy mesons. We solved the radial Schrödinger equation analytically using the series expansion method and obtained the energy eigenvalues. The present results are applied for predicting the mass spectra of heavy mesons such as charmonium and bottomonium. The present potential provides satisfying results in comparison with experimental data and the work of other researchers with a maximum error of 0.058 GeV

hep-ph↗

arXiv2023

Eigen Solution and Thermodynamic Properties of Manning Rosen Plus Exponential Yukawa Potential

In this work, we obtained analytical bound state solution of the Schrödinger equation with Manning Rosen plus exponential Yukawa Potential using parametric Nikiforov-Uvarov method (NU). We obtained the normalized wave function in terms of Jacobi polynomial. The energy eigen equation was determined and presented in a compact form. The study also includes the computations of partition function and other thermodynamics properties such as vibrational mean energy (μ), vibrational heat capacity (c), vibrational entropy (s) and vibrational free energy (F). Using a well design maple programme, we obtained numerical bound state energies for different quantum states with various screening parameters: α=0.1,0.2,0.3,0.4 and 0.5. The numerical results showed that the bound state energies increase with an increase in quantum state while the thermodynamic plots were in excellent agreement to work of existing literature.

quant-ph↗

arXiv2022

Applicability of Hulthen-Hellmann potential to predict the mass-spectra of heavy mesons via series expansion method

We adopt Hulthén plus Hellmann potential as the quark-antiquark interaction potential for predicting the mass spectra of heavy mesons. The adopted potential was made to be temperature-dependent by replacing the screening parameter with Debye mass.The radial Schrödinger equation was analytically solved using the series expansion method and energy eigenvalues were obtained. The energy eigenvalues is used to predict the mass spectra of heavy mesons such as charmonium and bottomonium. Four special cases were considered when some of the potential parameters were set to zero, resulting in Hellmann potential, Yukawa potential, Coulomb potential, and Hulthén potential, respectively. The present potential provides satisfying results in comparison with experimental data and the work of other researchers with a maximum error of 0.034 GeV.

hep-ph↗

arXiv2022

Application of Eckart-Hellmann potential to study selected diatomic molecules using Nikiforov-Uvarov-Functional Analysis (NUFA) method

The energy levels of the Schrödinger equation under the Eckart-Hellmann potential (EHP) energy function are studied by the Nikiforov-Uvarov-Functional Analysis (NUFA) method. We obtained the analytic solution of the energy spectra and the wave function in closed form with the help of Greene-Aldrich approximation. The numerical bound states energy for various screening parameters at different quantum states and vibrational energies of EHP for CuLi, TiH, VH, and TiC diatomic molecules were computed. Four particular cases of this potential were achieved. To test the accuracy of our results, we computed the bound states energy eigenvalues of Hellmann potential which are in excellent agreement with the report of other researchers.

quant-ph↗

arXiv2021

Analytical study on the Applicability of Ultra Generalized Exponential Hyperbolic Potential to Predict the Mass Spectra of the Heavy Mesons

We solved the Klein-Gordon equation analytically using the Nikiforov-Uvarov method to obtain the energy eigenvalues and corresponding wavefunction in terms of Laguerre polynomials with the ultra generalized exponential hyperbolic potential. The present results are applied for calculating the mass spectra of heavy mesons such as charmonium (cc) and bottomonium (cc) for different quantum states. The present potential provides excellent results in comparison with experimental data with a maximum error of and work of other researchers.

hep-ph↗

arXiv2021

Approximate solutions of the Schrodinger equation with Hulthen-Hellmann Potentials for a Quarkonium system

Hulthén plus Hellmann potentials are adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons. We solved the radial Schrödinger equation analytically using the Nikiforov-Uvarov method. The energy eigenvalues and corresponding wave function in terms of Laguerre polynomials were obtained. The present results are applied for calculating the mass of heavy mesons such as charmonium and bottomonium . Four special cases were considered when some of the potential parameters were set to zero, resulting into Hellmann potential, Yukawa potential, Coulomb potential, and Hulthén potential, respectively. The present potential provides satisfying results in comparison with experimental data and the work of other researchers.

hep-ph↗

arXiv2020

Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model

Analytical solutions of the N-dimensional Schrödinger equation for the newly proposed Varshni-Hulthén potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.

quant-ph↗