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The exact solution of N- dimensional radial Schr\"odinger equation with the generalized Cornell potential has been obtained using the Laplace transformation (LT) method. The energy eigenvalues and the corresponding wave functions for any…

High Energy Physics - Phenomenology · Physics 2018-02-15 M. Abu-Shady , T. A. Abdel-Karim , E. M. Khokha

The N-dimensional radial Schr\"odinger equation has been solved using the analytical exact iteration method (AEIM), in which the Cornell potential is generalized to finite temperature and chemical potential. The energy eigenvalues have been…

High Energy Physics - Phenomenology · Physics 2018-01-23 M. Abu-Shady , T. A. Abdel-Karim , E. M. Khokha

Using the variational method and supersymmetric quantum mechanic we calculate in a approximate way eigenvalues, eigenfunctions and wave functions at origin of Cornell potential. We compare results with numerical solutions for heavy…

High Energy Physics - Phenomenology · Physics 2014-10-10 Alfredo Vega , Jorge Flores

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 Schr\"odinger equation analytically using the series expansion method and…

High Energy Physics - Phenomenology · Physics 2023-10-12 E. P. Inyang , E. P. Inyang , I. O. Akpan , E. S. William

The typical binding energy of heavy hadron spectroscopy makes the system accessible to perturbative calculations in terms of non-relativistic QCD. Within NRQCD the predictions of heavy quarkonium energy levels rely on the accurate…

High Energy Physics - Phenomenology · Physics 2018-11-30 Pablo G. Ortega , Vicent Mateu , David R. Entem , Francisco Fernandez

We compute the heavy quarkonium mass of $l\not= 0$ (angular momentum) states, with otherwise arbitrary quantum numbers, with next-next-to-next-to-leading logarithmic (N$^3$LL) accuracy. This constitutes the first observable in heavy…

High Energy Physics - Phenomenology · Physics 2018-11-14 Clara Peset , Antonio Pineda , Jorge Segovia

We obtain the exact energy spectra and corresponding wave functions of the radial Schr\"odinger equation (RSE) for any (n,l) state in the presence of a combination of psudoharmonic, Coulomb and linear confining potential terms using an…

Quantum Physics · Physics 2011-10-04 Sameer M. Ikhdair

Heavy quarkonia, Bc-meson, and CS-meson masses are calculated within the framework of the N-dimensional radial Schrodinger equation. The Cornell potential is extended by including the harmonic oscillator potential. The energy eigenvalues…

High Energy Physics - Phenomenology · Physics 2016-10-21 M. Abu-Shady

The method reducing the solution of the Schroedinger equation for several types of power potentials to the solution of the eigenvalue problem for the infinite system of algebraic equations is developed. The finite truncation of this system…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. N. Faustov , V. O. Galkin , A. V. Tatarintsev , A. S. Vshivtsev

The N-dimensional radial Schrodinger equation with an extended Cornell potential is solved. The analytical exact iteration method is applied. The energy eigenvalues are calculated in the N-dimensional space. The charmonium meson, the…

High Energy Physics - Phenomenology · Physics 2017-01-11 E. M. Khokha , M. Abu-Shady , T. A. Abdel-Karim

In this study, we analyze the bound-state energy spectrum of quark-antiquark systems using the semiclassical WKB approximation. We consider the Cornell potential, which combines a linear confinement term with a Coulombic interaction, and…

High Energy Physics - Phenomenology · Physics 2025-08-11 Bhaskar Jyoti Hazarika , Tanmay Dev

The effect of an extended Cornell potential on mass spectra of heavy and heavy-light mesons is studied. The Cornell potential is extended to include quadratic potential and inverse quadratic potential. The N-radial Schrodinger equation is…

High Energy Physics - Phenomenology · Physics 2019-08-27 M. Abu-shady , H. M. Fath-Allah

We compute derived quantities for various values of the model parameter of the Cornell potential model for the S-wave heavy quarkonia with radial quantum numbers n=1, 2, and 3. Our results can be used to determine leading and…

High Energy Physics - Phenomenology · Physics 2011-08-31 Hee Sok Chung , Jungil Lee , Daekyoung Kang

In this study, we investigated the impact of a topological defect on the properties of heavy quarkonia using the extended Cornell potential. We solved the fractional radial Schrodinger equation (SE) using the extended Nikorov-Uvarov (ENU)…

High Energy Physics - Phenomenology · Physics 2023-09-26 M. Abu-shady , H. M. Fath-Allah

In the framework of potential models for heavy quarkonium, we compute the mass spectrum of the bottom-charmed $B_{c}$ meson system and spin-dependent splittings from the Schr\"{o}dinger equation using the shifted-large-N expansion…

High Energy Physics - Phenomenology · Physics 2014-11-17 Sameer M. Ikhdair , Ramazan Sever

We have investigated the spectra of light-heavy quarkonia with the use of a quantum-chromodynamic potential model which is similar to that used earlier for the heavy quarkonia. An essential feature of our treatment is the inclusion of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Suraj N. Gupta , James M. Johnson

We have investigated the spectra of light-heavy quarkonia with the use of a quantum-chromodynamic potential model which is similar to that used earlier for the heavy quarkonia. An essential feature of our treatment is the inclusion of the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Suraj N. Gupta , James M. Johnson

In this work, we obtain the Schr\"odinger equation solutions for the Kratzer potential plus screened Coulomb potential model using the series expansion method. The energy eigenvalues is obtained in non-relativistic regime and the…

High Energy Physics - Phenomenology · Physics 2021-01-06 Etido P. Inyang , Ephraim P. Inyang , Joseph E. Ntibi , Eddy S. William

Recent results on the QCD analysis of bound states of heavy $\bar{q}q$ quarks are reviewed, paying attention to what can be derived from the theory with a reasonable degree of rigour. We report a calculation of $\bar{b}c$ bound states; a…

High Energy Physics - Phenomenology · Physics 2011-01-27 F. J. Yndurain

The mass spectra and decay properties of heavy quarkonia are computed in nonrelativistic quark-antiquark Cornell potential model. We have employed the numerical solution of Schr\"odinger equation to obtain their mass spectra using only four…

High Energy Physics - Phenomenology · Physics 2018-08-06 N. R. Soni , B. R. Joshi , R. P. Shah , H. R. Chauhan , J. N. Pandya
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