Relativistic Bound and Scattering Amplitude of Spinless Particles in Modified Schioberg Plus Manning–Rosen Potentials

Abstract

By using an approximation for the centrifugal term, we study relativistic bound and scattering states of spin-zero particles in the presence of equal scalar and vector modified Schioberg plus Manning–Rosen potentials for any quantum numbers n and l. Energy eigenvalues and the scattering amplitude are calculated. Some special cases of the problem are also investigated.

Regular and Jost states for the S-wave Manning–Rosen potential

“…The approximate analytical solutions of the Schrödinger equation with > ℓ 0 for various types of exponential potential have been published in a number of papers . It is also worth mentioning that several approximation techniques such as the Nikiforov-Uvarov method, the screened centrifugal barrier, supersymmetric quantum mechanics etc [17][18][19][20][21][22][23][24] have been successfully applied for both relativistic and nonrelativistic cases to find the solutions of the Manning-Rosen potential with non-zero angular momentum.…”

Thermomagnetic properties and the effects of Aharonov-Bohm (AB) flux and external magnetic field on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and Supersymmetric quantum mechanics (SUSYQM) methods

“…Also, it is well-known that the potential energy functions with more parameters have a tendency to fit experimental data better than those with fewer parameters [27][28][29]. Many scholars have conducted extensive research in both relativistic and non-relativistic regimes to explore these potentials [30][31][32][33][34][35][36][37][38].…”