夸克偶素非相对论任意l-态的渐近迭代法
Non-relativistic Arbitrary l-states of Quarkonium through Asymptotic Iteration Method
摘要：
从非相对论量子色动力学的观点出发，采用渐近迭代法，得到了重夸克-反夸克系统（夸克偶素）在任意l态和质量下的能量本征值。在微扰论的范围内，用这种方法得到了能量本征值和质量的半解析公式。该公式的准确性进行检查，通过比较本研究中的数值得到的特征值，并与文献中的精确。此外，还将半解析公式应用于某些介子系统，并与实验数据进行了比较。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
