Analytical Solution of Relativistic Few-Body Bound Systems with a Generalized Yukawa Potential
| Autor: | Ali Akbar Rajabi, M. Aslanzadeh |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Physics
Basis (linear algebra) 010308 nuclear & particles physics Binding energy Yukawa potential Eigenfunction 01 natural sciences Atomic and Molecular Physics and Optics Schrödinger equation symbols.namesake Screened Poisson equation Quantum mechanics 0103 physical sciences symbols 010306 general physics Klein–Gordon equation Mathematical physics Spin-½ |
| Zdroj: | Few-Body Systems. 57:145-154 |
| ISSN: | 1432-5411 0177-7963 |
| DOI: | 10.1007/s00601-015-1035-3 |
| Popis: | We have investigated in this paper the few-body bound systems in a simple semi-relativistic scheme. For this aim, we introduced a spin independent relativistic description for a few-identical body system by presenting the analytical solution of few-particle Klein–Gordon equation. Performing calculations in D-dimensional configuration on the basis of the hypercentral approach, we reduced the few-body Klein–Gordon equation to a Schrodinger-like form. This equation is solved by using the Nikiforov–Uvarov method, through which the energy equations and eigenfunctions for a few-body bound system are obtained. We used the spin- and isospin-independent generalized Yukawa potential in our calculations, and the dependence of the few-body binding energies on the potential parameters has been investigated. |
| Databáze: | OpenAIRE |
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