论文标题
Hulthen-Hellmann通过串联扩张方法预测重介子的质谱的适用性
Applicability of Hulthen-Hellmann potential to predict the mass-spectra of heavy mesons via series expansion method
论文作者
论文摘要
我们采用Hulthén和Hellmann的潜力，作为预测重媒体质谱的夸克式互动潜力。通过用Debye质量替换筛选参数，采用的电势依赖于温度。使用串联膨胀方法分析了径向Schrödinger方程，并获得了能量特征值。能量特征值用于预测诸如charmon和底部的重介子的质谱。当某些潜在参数设置为零时，考虑了四个特殊情况，从而产生了Hellmann的潜力，Yukawa的潜力，库仑电位和Hulthén潜力。与实验数据和其他研究人员的工作相比，目前的潜力提供了令人满意的结果，最大误差为0.034 GEV。
We adopt Hulthén plus Hellmann potential as the quark-antiquark interaction potential for predicting the mass spectra of heavy mesons. The adopted potential was made to be temperature-dependent by replacing the screening parameter with Debye mass.The radial Schrödinger equation was analytically solved using the series expansion method and energy eigenvalues were obtained. The energy eigenvalues is used to predict the mass spectra of heavy mesons such as charmonium and bottomonium. Four special cases were considered when some of the potential parameters were set to zero, resulting in Hellmann potential, Yukawa potential, Coulomb potential, and Hulthén potential, respectively. The present potential provides satisfying results in comparison with experimental data and the work of other researchers with a maximum error of 0.034 GeV.
