In this work we propose a combined interaction, nuclear and electromagnetic in origin, to treat the charged hadronic systems by considering the same range of both the potentials under consideration. Since the effect due to charges becomes screened at a certain distance, we believe it desirable to include the effect of very short-range electromagnetic interaction. It is worthwhile to mention that in such situations the effect of the combined potential is often examined within the nuclear domain. Keeping this in view we consider nuclear Manning-Rosen plus the atomic Hulthén potential of equal range parameter for simplicity of calculation. The validity of our conjecture is examined through some model calculations with respect to their on- and off-shell effects.
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