In this study, we obtained bound state solutions of the radial Schrödinger equation by the superposition of Hulthén plus Hellmann potential within the framework of Nikiforov-Uvarov (NU) method for an arbitrary  - states. The corresponding normalized wave functions expressed in terms of Jacobi polynomial for a particle exposed to this potential field was also obtained. The numerical energy eigenvalues for different quantum state have been computed. Six special cases are also considered and their energy eigenvalues are obtained. Our results are found to be in good agreement with the results in literature. The behavior of energy in the ground and excited state for different quantum state are studied graphically.

The analytical solutions of the radial D-dimensional Schrödinger equation for the Yukawa potential plus spin-orbit and Coulomb interaction terms are presented within the framework of the Nikiforov-Uvarov method by using the Greene-Aldrich approximation scheme to the centrifugal barrier. The energy eigenvalues obtained are employed to calculate the single-energy spectrum of ⁵⁶Ni and ¹¹⁶Sn for distinct quantum states. We have also obtained corresponding normalized wave functions for the magic nuclei manifested in terms of Jacobi polynomials. However, the energy spectrum without Spin-orbit and Coulomb interaction terms precisely matches the quantum mechanical system of the Yukawa potential field at any arbitrary state.

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The performance characteristics of the digital pulse processor (DPP) as a low power pulse processor for gamma-ray semiconductor detector were analyzed. The FWHM energy resolution of the germanium detector was obtained as 0.35  and is in proper range of published value. The pulse resolution for peaking time of 0.8  obtained to be 1.16  respectively. A good range was obtained for the residual energy at various energy peaks. This lie between -2.3 KeV and 1.3KeV.The optimum peaking time was obtained at 6 μs where the FWHM goes through a minimum value from the plot of FWHM against peaking time. The dead time plot gave a linear fit for a peaking time of 3.2 μs and a curve at 19.2 μs.