Shifted Tietz–Wei oscillator for simulating the atomic interaction in diatomic molecules

Abstract

The shifted Tietz–Wei (sTW) oscillator is as good as traditional Morse potential in simulating the atomic interaction in diatomic molecules. By using the Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrödinger equation with this typical molecular model via the exact quantization rule (EQR). The energy spectrum for a set of diatomic molecules (NO (a4Π i) , NO (B2Π r) , NO (L′ 2ϕ) , NO (b4Σ -) , ICl(X1Σg+), ICl (A3Π 1) and ICl (A′ 3Π 2) for arbitrary values of n and ℓ quantum numbers are obtained. For the sake of completeness, we study the corresponding wavefunctions using the formula method.