论文标题
两个数值方案之间的比较来研究Charmed Quarkonium的光谱
Comparison Between Two Numerical Schemes to Study the Spectra of Charmed Quarkonium
论文作者
论文摘要
开发了两种数值方法，以减少radialschrödinger方程的解决方案，以使所提出的重型夸克 - 易夸克相互作用成为特征值问题的解决方案。我们的观点是一种数值方法，依赖于找到适当的数值方法来研究重型Quarkonia-Meson的静态特性，例如光谱，半径...等，并植入了非递归夸克模型和量子染色体动力学（QCD）理论的成分。这些提出的方案的应用导致了Charmed-Quarkonium（Charmonium）多重组的质谱，这些质谱与粒子数据组（PDG）的实验发表的曲线进行了比较。此外，炭的归一化径向波函数都表示各种结合状态。通过这项工作研究了每个数值配方与迭代数n和径向距离的收敛性。尽管观察到我们的数值处理可靠地研究Charmed Quarkonium绑定状态的谱图，但我们发现，在与实验和收敛分析的高精度比较方面，这些提出的技术之一相对于另一种技术。
Two numerical methods are developed to reduce the solution of the radial Schrödinger equation for proposed heavy quark-antiquark interactions, into the solution of the eigenvalue problem for the infinite system of tridiagonal matrices. Our perspective is a numerical approach relies on finding the proper numerical method to investigate the static properties of heavy quarkonia-mesons, such as spectrum, radius ... etc., with implantation of both the nonrelativistic quark model and the ingredients of the quantum chromodynamics (QCD) theory. The application of these proposed schemes resulted in mass spectra of charmed-quarkonium (charmonium) multiplets, which are compared with the experimental published profiles of Particle Data Group (PDG). Besides, the normalized radial wave-functions of the charmonium various bound states are represented. The convergence of each numerical recipe versus the iteration number N and the radial distance is investigated through this work. Although it was observed that our numerical treatments are reliable to study charmed Quarkonium bound states profile, we found that one of these proposed techniques is favored over the other in terms of high precision comparisons with experiments and convergence analysis.
