Energy spectra and thermo-magnetic analysis of selected diatomic molecules in combined AB flux and magnetic fields with Manning-Rosen plus Hellmann potential model

Abstract

The Schrödinger equation for the Manning-Rosen plus Hellmann potential under an Aharonov-Bohm (AB) flux and external magnetic field was solved using the asymptotic iteration method (AIM), yielding closed-form expressions for the energy eigenvalues and corresponding eigenfunctions. Furthermore, the numerical energy spectra, partition function, and various thermo-magnetic properties of the TiH, CrH, H₂ and HCl diatomic molecules were subsequently computed. The results reveal that the combined influence of the magnetic and AB flux fields lifts the degeneracy present in the unperturbed energy spectrum. In addition, temperature significantly modifies the magnetic susceptibility, causing a transition of diamagnetic behavior in the molecules considered.  Energy expressions for several special cases were also derived and benchmarked against existing literature to validate the accuracy of our analytical formulation. Overall, these outcomes provide valuable insights with potential applications in condensed-matter, atomic, molecular, and chemical physics.