Estimation of Energy Eigenvalues using an Exponential Screened plus Yukawa Potential under the Influence of an External Magnetic Field

Diatomic molecules play a key role in molecular physics and quantum chemistry because of their simple structure and their usefulness in studying how molecules behave under external factors. Examining the impact of influences like magnetic fields and Aharonov-Bohm (AB) flux on their quantum properties is essential for advancements in areas such as quantum control, molecular spectroscopy, and condensed matter research. In this study, numerical calculations were conducted to validate the computed results, revealing that both the external magnetic field B(T) and flux significantly affect the energy levels of the selected diatomic molecules. At zero temperature, the energy eigenvalues indicate a slight decrease in magnetization and magnetic susceptibility under varying magnetic field B(T) and flux , with hydrogen exhibiting an overlap at specific field strengths B(T). Magnetization generally increases with both magnetic field B(T) and flux as temperature changes, while for Co, it decreases with rising temperature but increases when plotted against temperature as magnetic field B(T) and flux vary. A similar pattern is observed in and . Additionally, partition function results show that temperature, magnetic field B(T) and flux strongly influence the bound state energy eigenvalues, leading to a slight increase in the thermal properties of these diatomic molecules.