Bound and scattering state energies of Hulthén-Hellmann potential with external field and topological defects
DOI:
https://doi.org/10.31349/RevMexFis.71.060502Keywords:
Bound state; scattering state; combined potential; topological defectAbstract
Topological defect and external fields influence on potential models has been significantly proven to shape the behaviour and interactions of different constituent quantum systems. Due on this fact, we employ the Nikiforov-Uvarov functional analysis method to solve the Schrödinger equation with Hulthén-Hellmann Potential, embedded with Aharonov-Bohm flux field and point-like global monopole defect. Analytical expression of the energies with topological defect and AB flus field was obtained. In addition, the scattering phase shift expression of the combined potential was obtained under the influence of the global monopole and external field. Numerical and graphical variations have been presented for various quantum states, flux field and topological defect values. It is observed that, energy eigenvalues and scattering phase shift of the combined potential are significantly affected by the topological defect parameters, Aharonov-Bohm flux field, screening parameter and quantum state values considered, in the curved space-time. Conventional results of this study in Minkowski space-time are realized as the topological defect parameter approaches unity, in the absence of the AB flux field and these results agree with available results in literature. The results in this study also point relatively to some physical phenomena in chemical and molecular physics.
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