Deng-Fan Potential is well known in describing diatomic molecular energy spectra and electromagnetic transitions. An irregular solution for the Deng-Fan potential is constructed by adapting the differential equation approach to the problem. The Jost function thus obtained is applied to find bound state energies and the scattering phase shifts for nuclear systems. Also phase function method has been applied in parallel with that of Jost function technique for similar investigation. Results show close agreement with the experimental ones. Exploiting the phase parameters the elastic scattering cross sections have been estimated.

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