Velocity dependent OBEP and nucleon-nucleon scattering phase shift in the born approximation

Solutions of the Schrödinger equation with velocity-dependent potentials:a study on Kratzer, Mie and Hulthen potentials

“…For instance, numerous authors have investigated the bound-state solutions of the Hulthen potential using various methods, including the Nikiforov-Uvarov (NU) method [19], the shifted 1/N expansion method [20], and the supersymmetry (SUSY) method [21][22][23][24], specifically for the s-wave Schrödinger equation. Furthermore, the Hulthen potential's solution has been obtained using the NU method and the Asymptotic Iteration Method (AIM) for relativistic wave equations, such as the Klein-Gordon equation [25][26][27][28][29][30][31][32], Dirac equation [33], and the Duffin-Kemmer-Petiau (DKP) equation [34]. Additionally, addressing the solutions for various angular momentum states of the Schrödinger equation for this potential has been accomplished in reference [35] through the application of AIM.…”