Non-relativistic Arbitrary l-states of Quarkonium through Asymptotic Iteration Method

H. Ciftci, H. F. Kisoglu
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引用次数: 17

Abstract

The energy eigenvalues with any l-states and mass of heavy quark- antiquark system (quarkonium) are obtained by using Asymptotic Iteration Method in the view of non-relativistic quantum chromodynamics, in which the quarks are considered as spinless for easiness, and are bounded by Cornell potential. A semi-analytical formula for energy eigenvalues and mass is achieved via the method in scope of the perturbation theory. The accuracy of this formula is checked by comparing the eigenvalues with the ones numerically obtained in this study, and with exact ones in literature. Furthermore, semi-analytical formula is applied to some meson systems for comparing the masses with the experimental data.
用渐近迭代法求夸克群的非相对论任意l态
从非相对论量子色动力学的观点出发,用渐近迭代法得到了重夸克-反夸克系统(夸克)具有任意l态和质量的能量特征值,其中夸克为易被认为是无自旋的,并以Cornell势为界。在微扰理论的范围内,得到了能量特征值和质量的半解析公式。通过与本研究中数值计算得到的特征值以及文献中精确的特征值进行比较,验证了该公式的准确性。此外,将半解析公式应用于某些介子系统,以便与实验数据进行质量比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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