The phase function method/variable phase approach to potential scattering is exploited to calculate the phase shifts for nucleon-nucleon systems in low and intermediate energy regions by representing the nuclear part of the interaction by the Hellmann potential while the electromagnetic part by the Coulomb one. In addition, the differential and total scattering cross-sections are estimated with our pase parameters. Results reproduced by the concerned potential are in good agreement with the previous works in the literatura.
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