This paper presents an analytical bound-state solution to the Duffin–Kemmer–Petiau equation for the new putative combined Manning–Rosen and Yukawa class potentials. Using the developed scheme to approximate and to overcome the difficulties arising in the centrifugal part of the potential, the bound-state solution of the modified Duffin–Kemmer–Petiau equation is found. Analytical expressions for the energy eigenvalues and the corresponding radial wave functions are derived for an arbitrary value of the orbital quantum number l, and the eigenfunctions are expressed in terms of the hypergeometric functions. It is shown that the energy levels and the eigenfunctions are quite sensitive to the choice of the radial and orbital quantum numbers.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 140–150, July, 2021.
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Aslanova, S.M. Analytical Solution of the Duffin–Kemmer–Petiau Equation for the Sum of Manning–Rosen and Yukawa Class Potentials. Russ Phys J 64, 1337–1350 (2021). https://doi.org/10.1007/s11182-021-02459-3
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DOI: https://doi.org/10.1007/s11182-021-02459-3