The semi-relativistic scattering states of the two-body spinless Salpeter equation with the Varshni potential model

Abstract

In this present work, the scattering state solutions of the Spinless Salpeter equation with the Varshni potential model were investigated. The approximate scattering phase shift, normalization constant, bound state energy, wave number and wave function in the asymptotic region were obtained. The behaviour of the phase shift with the two-body mass index were discussed and presented.

Approximate Scattering State Solutions of DKPE and SSE with Hellmann Potential

“…(2) The effect of total angular momentum centrifugal term in Eq. ( 2) can be subdued using approximation scheme of the type [7,10,14] 1…”

“…The DKP total cross-section for the sum of partial-wave cross-sections 𝜎 𝑙 is defined as [10]: 𝜌 2 ) + 𝑛 = 0 (𝑛 = 0, 1, 2, . .…”

“…cross-section for the sum of partial-wave cross-sections is defined as[10]: defines the DKP partial-wave transitions.A straightforward substitution of Eq. (24) into Eq.…”

Analyzing the effects of magnetic and Aharonov‐Bohm (AB) flux fields on the energy spectra and thermal properties of N2, NO, CO and H2 diatomic molecules

“…One of the potential that is significant in the history of molecular physics and quantum chemistry, and in describing molecular structure and molecules is Varshni potential [17]. It is a short‐range repulsive potential energy function that has been used successfully in describing the interaction of the bound state of systems in chemical, classical, modern, and molecular physics [18, 19]. The Varshni potential takes the form where are the potential strengths of Varshni potential, is the screening parameter and is the inter‐nuclear distance.…”

Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic Field

“…Several studies in quantum mechanics, solid state physics, condensed matter physics, nuclear physics, chemical physics, molecular physics, and other related areas have proven to an outstanding degree that potential models are very important models for stimulating atomic and molecular interaction since it is capable of predicting and describing some behavior of atoms and molecules. It also provides an insight into the understanding of molecular spectra, vibrations and dynamics [1,2], spin-orbit interaction, relativistic corrections and diamagnetic susceptibility [3,4], optical properties [5,6], interband light absorption and interband optical transitions [7,8], energy and relativistic effects in weakly bound nuclei [9][10][11], external magnetic fields and/ or Aharonov-Bohm flux fields [12][13][14][15][16][17], interactions between the magnetic and electric fields [18], thermal and/or thermo-dynamic properties [19][20][21][22][23], spin and pseudospin symmetries [24], and two-body effects [25][26][27][28] among others.…”