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Mass Spectrum and Decay Constants of Heavy Quarkonia


Article Information

Title: Mass Spectrum and Decay Constants of Heavy Quarkonia

Authors: Tasawer Shahzad Ahmad, Talab Hussain, M. Atif Sultan

Journal: Proceedings of the Pakistan Academy of Sciences: A

HEC Recognition History
Category From To
Y 2024-10-01 2025-12-31
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: "Physical And Computational Sciences. Pakistan Academy of Sciences."

Country: Pakistan

Year: 2021

Volume: 58

Issue: 2

Language: English

DOI: 10.53560/PPASA(58-2)612

Keywords: SpectroscopyPotential ModelDecay ConstantSchrodinger Wave EquationCharmoniumBottomonium

Categories

Abstract

In this paper, a non-relativistic potential model is used to find the solution of radial Schrodinger wave equation by using Crank Nicolson discretization for heavy quarkonia ( ̅, ̅). After solving the Schrodinger radial wave equation, the mass spectrum and hyperfine splitting of heavy quarkonia are calculated with and without relativistic corrections. The root means square radii and decay constants for S and P states of c ̅ and ̅ mesons by using the realistic and simple harmonic oscillator wave functions. The calculated results of mass, hyperfine splitting, root means square radii and decay constants agreed with experimental and theoretically calculated results in the literature.


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