Scattering State of Coupled Hulthen–Woods–Saxon Potentials for the Duffin–Kemmer–Petiau Equation with Pekeris Approximation for the Centrifugal Term

Abstract

We studied the approximate analytical scattering state of the Duffin -Kemmer -Petiau (DKP) equation for arbitrary l -state for couple Hulthen -Woods -Saxon potential using the Pekeris approximation for the centrifugal term. We obtained an energy spectrum, normalised radial wave functions of the scattering states, and the corresponding formula for the phase shifts, which is derived in detail. Special cases of Hulthen and Woods -Saxon potentials were also studied.

Approximate Scattering State Solutions of DKPE and SSE with Hellmann Potential

“…The motivation behind this work is to investigate the approximate scattering state solutions of Duffin Kemmer Petiau equation (DKPE) and spinless Salpeter equation (SSE) with Hellmann Potential. The SSE explains in detail the dynamics of semi-relativistic of particle [6-10 and the references therein] and two-body effects whereas the DKPE explains explicitly the dynamics of relativistic spin-0 and spin-1 particles [11][12][13][14][15][16][17][18]. The Hellmann potential in this study may be written as [1][2][3][4][5]…”

“…The DKP equation with energy 𝐸 𝑛,𝐽 , total angular momentum centrifugal term and the mass m of the particle is given as [11][12][13][14]:…”