Statistical analysis and information theory of screened Kratzer–Hellmann potential model

In this research, the radial Schrodinger equation for a newly proposed screened Kratzer-Hellmann potential model was studied via conventional Nikiforov-Uvarov method. The approximate bound state solution of obtained using Greene-Aldrich approximation, in addition to normalized eigenfunction new both analytically and numerically. These results were employed evaluate rotational-vibrational partition function other thermodynamic properties potential. We have discussed graphically. Also, has been used calculate some information-theoretic measures including Shannon entropy Fisher information low lying states position momentum spaces observed that agreed with Bialynicki-Birula Mycielski inequality, while Stam, Crammer-Rao inequality. From our results, we alternating increasing decreasing localization across screening parameter eigenstates.