Four-parameter exactly solvable potential for diatomic molecules

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Abstract
A four-parameter potential function is introduced for bond-stretching vibration of diatomic molecules. It may fit the experimental RKR (Rydberg-Klein-Rees) curve more closely than the Morse function, especially when the potential domain extends to near the dissociation limit. The corresponding Schrödinger equation is solved exactly for zero total angular momentum and approximately for nonzero total angular momentum.