ABSTRACT

Through the introduced work a viable numerical scheme has been developed, using Numerov’s method, to study the energy spectra of mesons and hadronic interactions. Upon the implementation of the non-relativistic quark model and the Quantum Chromodynamics theory elements which describe the phenomenological interactions between the charm–anticharm quarks via two proposed potentials, our model accurately predicts the mass spectra of charmed quarkonium as an example of mesonic systems. It was found that our results agree well with the experimental charmonium masses that were published via the Particle Data Group (PDG). The proposed model has been tested for numerical instabilities and found that it works well for both proposed potentials. Although this model is suited to study the dynamics of charmonium interactions, we found that the results for one of the potentials are in better agreement with the published data. In addition, we predicted the mass spectrum of new charmed multiplets using the same previously mentioned potentials.

摘要

通过介绍的工作，使用Numerov方法开发了可行的数值方案，以研究介子和强子相互作用的能谱。在实施非相对论夸克模型并通过两个拟议的电势描述了魅-夸克夸克之间的现象学相互作用的量子色动力学理论元素后，我们的模型准确地预测了有魅力的夸克的质谱作为中子系统的一个例子。结果发现，我们的结果与通过粒子数据小组（PDG）发布的实验性charm的质量非常吻合。对拟议的模型进行了数值不稳定性测试，发现它对两种拟议的潜力都适用。尽管此模型适合研究of相互作用的动力学，我们发现其中一种潜力的结果与已发布的数据更加吻合。此外，我们使用相同的前述电位预测了新的多重峰的质谱。