Scattering state solutions of the Duffin-Kemmer-Petiau equation with the Varshni potential model

. The scattering state of the Duffin-Kemmer-Petiau equation with the Varshni potential was studied. The asymptotic wave function, the scattering phase shift and normalization constant were obtained for any J states by dealing with the centrifugal term using a suitable approximation. The analytical p...

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Bibliographic Details
Published in:The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2017-02, Vol.53 (2), p.1-6, Article 29
Main Authors: Oluwadare, O. J., Oyewumi, K. J.
Format: Article
Language:English
Subjects:
Angular momentum
Hadrons
Heavy Ions
Mathematical models
Nuclear Fusion
Nuclear Physics
Particle and Nuclear Physics
Phase shift
Physics
Physics and Astronomy
Regular Article - Theoretical Physics
Scattering amplitude
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Summary:. The scattering state of the Duffin-Kemmer-Petiau equation with the Varshni potential was studied. The asymptotic wave function, the scattering phase shift and normalization constant were obtained for any J states by dealing with the centrifugal term using a suitable approximation. The analytical properties of the scattering amplitude and the bound state energy were obtained and discussed. Our numerical and graphical results indicate that the scattering phase shift depends largely on total angular momentum J , screening parameter β and potential strengths a and b .
ISSN:1434-6001
1434-601X
DOI:10.1140/epja/i2017-12218-5