Screened hydrogenic radial integrals.
The screened hydrogenic radial integral both for discrete-discrete and discrete-continuum transitions is expressed in forms suitable for obtaining closed-form expressions for specific transitions.  Two effective charge parameters Zi and Zf, respectively, for the initial state and for the final state are retained in these formulas.  As examples, explicit expressions for a few transitions are derived and a method for obtaining a series for a discrete-discrete radial integral, suitable for large final-state principal quantum numbers, is indicated.
Khandelwal
G S
GS
Department of Physics, Old Dominion University, Norfolk, Virginia, USA.
Pritchard
W M
WM
Grubb
G
G
Khan
F
F
D004583:Electrons; D006859:Hydrogen; D008433:Mathematics; D008962:Models, Theoretical
D006859:Hydrogen