LPRIM’s Kratzer Basis Improves Bound-State Accuracy to 1% at Screening

Researchers at LPRIM, University of Batna I, and collaborating institutions University of Biskra and University of Khenchela, have achieved relative errors of less than one percent in calculating the bound-state energies for the first ten s-states of hydrogen-like atoms using a novel analytical approach. The work, focused on atoms interacting with a radial screened Coulomb potential, combines expectation values, variational optimization with a scaled Kratzer basis, and the Hellmann-Feynman theorem to provide robust error estimation. This formalism not only refines calculations for systems embedded in plasma but also extends successfully to Positronium, demonstrating applicability to atoms with arbitrary reduced mass. The team benchmarked their results against high-precision data, establishing a new level of accuracy for these complex quantum systems. Approximate energy eigenvalues have been achieved in calculating the bound-state energies of…