A new deformed Schiöberg-type potential and ro-vibrational energies for some diatomic molecules

Abstract

We suggest a new deformed Schioberg-type potential for diatomic molecules. We\nshow that it is equivalent to Tietz-Hua oscillator potential. We discuss how to\nrelate our deformed Schi\\"oberg potential to Morse, to Deng-Fan , to the\nimproved Manning-Rosen, and to the deformed modified Rosen-Morse potential\nmodels. We transform our potential into a proper form and use the\nsupersymmetric quantization to find a closed form analytical solution for the\nro-vibrational energy levels that are highly accurate over a wide range of\nvibrational and rotational quantum numbers. We discuss our results using\n4-diatomic molecules NO, O2, O2+, and N2. Our results turn out to compare\nexcellently with those from a generalized pseudospectral numerical method.\n