论文标题
通过WKB近似法的介子质谱
Mass spectrum of Mesons via the WKB approximation method
论文作者
论文摘要
在本文中，我们证明了Wentzel-Kramers-Brillouin（WKB）近似方法中的多个转折点问题可以通过使用适当的Pekeris-type近似方案来降低到两个转折点。我们用Killingbeck电位和反相二次电位（KPIQP）函数求解了Schrödinger方程。讨论了建模电位的特殊情况。我们获得了重型和重膜系统的能量特征值和质谱。本工作的结果与其他分析方法获得的结果以及文献中可用的实验数据非常吻合
In this paper, we demonstrated that the multiple turning point problems within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method can be reduced to two turning point one for a non-symmetric potential function by using an appropriate Pekeris-type approximation scheme. We solved the Schrödinger equation with the Killingbeck potential plus an inversely quadratic potential (KPIQP) function. The special cases of the modeled potential are discussed. We obtained the energy eigenvalues and the mass spectra of the heavy and heavy-light mesons systems. The results in this present work are in good agreement with the results obtained by other analytical methods and available experimental data in the literature
