Okorie Uduakobong S, Horchani Ridha, Alrebdi Haifa I, Ikot Akpan N, Rampho Gaotsiwe J
Department of Physics, University of South Africa, Florida 1710, Johannesburg, South Africa.
Department of Physics, College of Science, Sultan Qaboos University, P.O. Box 36, P. C. 123, Al-Khod, Muscat, Sultanate of Oman.
Sci Rep. 2025 Jul 2;15(1):23481. doi: 10.1038/s41598-025-07761-5.
In this study, the effect of point-like global monopole topological defects on the energy eigenvalues of the combined Hulthén and Hellmann Potentials has been evaluated. The generalized fractional Nikiforov-Uvarov method is employed to find out the eigensolutions for arbitrary l states by solving the non-relativistic fractional Schrödinger equation. The Greene-Aldrich approximation scheme has been used to handle the centrifugal barrier term. It is observed that, energy eigenvalues of the combined potential are significantly affected by the global effects of the point like global monopole, fractional parameter values, screening parameter and quantum state values considered, in the curved space-time. The values of energy for the Hulthén-Hellmann potential obtained in the Minkowski flat space-time are seen to agree with available results in literature. Our results are also discussed in graphical form extensively.
在本研究中，已评估了点状全局单极拓扑缺陷对组合的胡尔特恩势和赫尔曼势的能量本征值的影响。采用广义分数阶尼基福罗夫 - 乌瓦罗夫方法，通过求解非相对论分数阶薛定谔方程来找出任意l态的本征解。格林 - 奥尔德里奇近似方案已被用于处理离心势垒项。可以观察到，在弯曲时空里，组合势的能量本征值受到点状全局单极的全局效应、分数参数值、屏蔽参数以及所考虑的量子态值的显著影响。在闵可夫斯基平坦时空里获得的胡尔特恩 - 赫尔曼势的能量值与文献中的现有结果一致。我们的结果也以图形形式进行了广泛讨论。
