Approximate Scattering State Solutions of DKPE and SSE with Hellmann Potential

Abstract

We study the approximate scattering state solutions of the Duffin-Kemmer-Petiau equation (DKPE) and the spinless Salpeter equation (SSE) with the Hellmann potential. The eigensolutions, scattering phase shifts, partial-waves transitions and the total cross section for all the partial waves are obtained and discussed. The dependence of partialwaves transitions on total angular momentum number, angular momentum number, mass combination and potential parameters were presented in the figures.

Determination of the Energy Eigenvalues of the Varshni-Hellmann Potential

“…In this section, we solve the Schrödinger equation by using the Hellmann potential. The Hellmann potential is of the following form [12,13]:…”

Scattering State Solutions of Vector Bosons Interacting with Sun Potential

“…Therefore, there are many studies using different methods on physical potentials related to the relativistic and the non-relativistic particle equations (Taş and Havare, 2017;Taş, Aydoğdu, and Salti, 2017;Taş and Havare, 2018;Taş, Aydoğdu and Saltı, 2018;Yanar, Taş, Saltı and Aydoğdu, 2020;Edet, Amadi, Okorie, Taş, Ikot and Rampho, 2020;Okorie, Taş, Ikot, Osobonye and Rampho, 2021). In recent years, many studies have been conducted to DOI: 10.29132/ijpas.1369826 334 consider different interaction types for various representation of the DKP equation (Taş, 2021;Hassanabadi, Forouhandeh, Rahimov, Zarrinkamar and Yazarloo, 2012;Hamzavi and Ikhdair, 2013;Zarrinkamar, Rajabi, Yazarloo and Hassanabadi, 2013;Bahar, 2013;Bahar, and Yasuk, 2013;Onate, Ojonubah, Adeoti, Eweh and Ugboja, 2014;Ikot, Molaee, Maghsoodi, Zarrinkamar, Obong and Hassanabadi, 2015;Zarrinkamar, Panahi and Rezaei, 2016;Oluwadare and Oyewumi, 2017;Oluwadare and Oyewumi, 2018). However, when the existing literature is examined, it is seen that most of the research is on the spin-0 representation of the DKP equation.…”

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.…”