Okon Ituen B, Omugbe E, Antia Akaninyene D, Onate C A, Akpabio Louis E, Osafile O E
Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria.
Department of Physics, Federal University of Petroleum Resources, Effurun, Nigeria.
Sci Rep. 2021 Jan 13;11(1):892. doi: 10.1038/s41598-020-77756-x.
In this research article, the modified approximation to the centrifugal barrier term is applied to solve an approximate bound state solutions of Dirac equation for spin and pseudospin symmetries with hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential using parametric Nikiforov-Uvarov method. The energy eigen equation and the unnormalised wave function were presented in closed and compact form. The nonrelativistic energy equation was obtain by applying nonrelativistic limit to the relativistic spin energy eigen equation. Numerical bound state energies were obtained for both the spin symmetry, pseudospin symmetry and the non relativistic energy. The screen parameter in the potential affects the solutions of the spin symmetry and non-relativistic energy in the same manner but in a revised form for the pseudospin symmetry energy equation. In order to ascertain the accuracy of the work, the numerical results obtained was compared to research work of existing literature and the results were found to be in excellent agreement to the existing literature. The partition function and other thermodynamic properties were obtained using the compact form of the nonrelativistic energy equation. The proposed potential model reduces to Hulthen and exponential inversely quadratic potential as special cases. All numerical computations were carried out using Maple 10.0 version and Matlab 9.0 version softwares respectively.
在这篇研究文章中，利用参数化的尼基福罗夫 - 乌瓦罗夫方法，将离心势垒项的修正近似应用于求解具有双曲胡尔特恩加双曲指数反平方势的自旋和赝自旋对称性狄拉克方程的近似束缚态解。能量本征方程和未归一化波函数以封闭且紧凑的形式给出。通过对相对论自旋能量本征方程应用非相对论极限得到非相对论能量方程。获得了自旋对称性、赝自旋对称性以及非相对论能量的数值束缚态能量。势中的屏蔽参数以相同方式影响自旋对称性和非相对论能量的解，但对于赝自旋对称性能量方程以修正形式影响。为了确定工作的准确性，将得到的数值结果与现有文献的研究工作进行比较，发现结果与现有文献非常吻合。使用非相对论能量方程的紧凑形式获得了配分函数和其他热力学性质。所提出的势模型在特殊情况下简化为胡尔特恩势和指数反平方势。所有数值计算分别使用Maple 10.0版本和Matlab 9.0版本软件进行。
