Journal of Modern Physics

Volume 3, Issue 10 (October 2012)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

Google-based Impact Factor: 0.86  Citations  h5-index & Ranking

Study of Heavy Quarkonium with Energy Dependent Potential

HTML  Download Download as PDF (Size: 337KB)  PP. 1530-1536  
DOI: 10.4236/jmp.2012.310189    4,505 Downloads   6,677 Views  Citations

ABSTRACT

Heavy quark systems (c and b ) have been studied in the nonrelativistic framework using energy dependent interquark potential of the form harmonic oscillator with a small linear term as energy dependent as perturbation plus a inverse square potential. This potential admits exact analytical solution of the Schrodinger equation. Mass spectra, leptonic decay width, root mean square radii (), the expectation value of the radius (r) and <1/r> have been estimated for different quantum mechanical states for and systems. It is observed that energy dependent term in the potential leads to saturation of the mass spectra and degree of saturation is governed by the magnitude of perturbation. The calculated values of leptonic decay widths for 1s state are in very good agreement with the experimental data both for c and b systems.

Share and Cite:

P. Gupta and I. Mehrotra, "Study of Heavy Quarkonium with Energy Dependent Potential," Journal of Modern Physics, Vol. 3 No. 10, 2012, pp. 1530-1536. doi: 10.4236/jmp.2012.310189.

Cited by

[1] The investigation of approximate solutions of Deformed Schrödinger Equations for the Hydrogenic Atoms, Heavy Quarkonium Systems????(??=??,??) and Diatomic …
Latin-American Journal of Physics Education, 2022
[2] Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics
Shady, RR Luz, GXA Petronilo… - arXiv preprint arXiv …, 2022
[3] Problems relating to non-homogeneous magnetic field and path integral formalism
2022
[4] Spectroscopy of the tetraquark - in a non-relativistic approach using a phenomenological QCD model
2021
[5] Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method
2020
[6] Approximate solutions of the Schrödinger equation with energy-dependent screened Coulomb potential in D–dimensions
2020
[7] The search for fractional order in heavy quarkonia spectra
2019
[8] A statistical mechanical analysis on the bound state solution of an energy-dependent deformed Hulth\'en potential energy
2019
[9] Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method
2019
[10] The Effect of Extended Cornell Potential on Heavy and Heavy-Light Meson Masses Using Series Method
2019
[11] Exact bound state solution of the Klein Gordon equation with a position-energy dependent mass and a Coulomb-like energy dependent potential energy
2019
[12] Superstatistics of Schr\" odinger Equation with Pseudoharmonic potential in an External Magnetic and Aharanov-Bohm (AB) Fields
2019
[13] Saturation in heavy quarkonia spectra with energy-dependent confining potential in N-dimensional space
2018
[14] How the spin-orbit interaction appears with the same order of a non-commutative change of framework for relativistic fermions
2018
[15] Charmonio: comparación entre modelos potenciales
2018
[16] Charmonium: comparison between potential models.
2018
[17] Mass Spectra of Heavy and Light Mesons Using Asymptotic Iteration Method
2018
[18] Charmonium: comparison between potential models
Nucleus (La …, 2018
[19] New Bound States for Modified Vibrational-Rotational Structure of Supersingular Plus Coulomb Potential of the Schrödinger Equation in One-Electron Atoms
2017
[20] New Nonrelativistic Quarkonium Masses in the Two-Dimensional Space-Phase using Bopp's shift Method and Standard Perturbation Theory
2017
[21] Spin and Pseudo-spin Symmetries of fermionic particles with energy-dependent potential in non-commutative phase space
Chinese Journal of Physics, 2016
[22] Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method
2016
[23] Spin and pseudo-spin symmetries of fermionic particles with an energy-dependent potential in non-commutative phase space
Chinese Journal of Physics, 2016
[24] LA SUPERSYMETRIE QUANTIQUE APPLIQUEE AUX POTENTIELS DEPENDANT DE L’ENERGIE : METHODE DE POTENTIEL LOCAL EQUIVALENT
2015
[25] Heavy Quarkonia and Bc-Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrodinger Equation
2015
[26] Analytic Solution of Dirac Equation for Extended Cornell Potential Using the Nikiforov-Uvarov Method
2015

Journals Menu
Follow SCIRP
Contact us
+1 323-425-8868
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.