https://doi.org/10.1140/epjp/s13360-022-03120-9
Regular Article
Application of quantum supersymmetry to rovibrational states of diatomic molecules with an energy dependent Morse potential
1
Département de Physique, Faculté des Sciences, Université M’Hamed Bougara de Boumerdès (UMBB), Avenue de l’Indépendance, 35 000, Boumerdès, Algeria
2
Département de Physique Théorique, Faculté de Physique, Université des Sciences et de la Technologie Houari Boumedienne, BP 32 El-Alia, 16111, Alger, Algeria
Received:
1
June
2022
Accepted:
26
July
2022
Published online:
23
August
2022
The energy-dependent Morse potential is used to study diatomic molecules. Their rovibrational energy eigenvalues are calculated by applying the quantum supersymmetry (SUSY-QM) formalism related to this kind of potentials associated to the Pekeris approximation of the centrifugal term. At first, a general case with this energy dependent potential is investigated in order to test the efficiency of the Pekeris approximation in function of the potential range parameter. A comparison between the obtained analytical results with the exact numerical solutions of the Schrödinger equation in the energy-dependent and the energy-independent cases shows that the numerical results agree well with the analytical expression. An other point is also verified, the curve shape of the potential behavior is studied and compared with the standard Morse potential form and the Rydberg Klein Rees (RKR) data in the case of the ground state of the two diatomic molecules: 
and 
. The solubility of the general proposed model and the compatibility of the ground energy dependent potential with the RKR data curves represent the key elements that led us to make an extension of this study to realistic cases. Applications of SUSY-QM to some several diatomic molecules: , , 
and HF are shown the effect of this dependence on their rovibrational energy spectra.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
