Mass Spectrum and Decay Constants of Heavy Quarkonia

Tasawer Shahzad Ahmad, Talab Hussain, M. Sultan
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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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重夸克的质谱和衰变常数
本文采用非相对论性势模型,对重夸克(_,_)用曲克-尼科尔森离散方法求解径向薛定谔波动方程。在求解薛定谔径向波动方程后,计算了有相对论修正和没有相对论修正的重夸克的质谱和超精细分裂。用实际的和简单的谐振子波函数,得到了c′和c′介子S态和P态的平方根半径和衰减常数。质量、超细分裂、均方根半径和衰变常数的计算结果与文献中的实验和理论计算结果一致。
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来源期刊
Proceedings of the Pakistan Academy of Sciences: Part A
Proceedings of the Pakistan Academy of Sciences: Part A Computer Science-Computer Science (all)
CiteScore
0.70
自引率
0.00%
发文量
15
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