Bound and Scattering States Solution of the Relativistic Spinless Particles in View of the Multiparameter Potential

In this paper, we explore the analytical solutions for both bound and scattering states of the Klein–Gordon equation with the multiparameter potential which describes atomic, diatomic and polyatomic molecular structures via the standard method by applying a Pekeris-type approximation to the centrifu...

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Bibliographic Details
Published in:Few-body systems 2018-07, Vol.59 (4), p.1-16, Article 52
Main Authors: Taş, Ahmet, Havare, Ali
Format: Article
Language:English
Subjects:
Atomic
Atomic structure
Eigenvalues
Eigenvectors
Hadrons
Heavy Ions
Hypergeometric functions
Klein-Gordon equation
Molecular
Nuclear Physics
Optical and Plasma Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Relativistic particles
Scattering
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Summary:In this paper, we explore the analytical solutions for both bound and scattering states of the Klein–Gordon equation with the multiparameter potential which describes atomic, diatomic and polyatomic molecular structures via the standard method by applying a Pekeris-type approximation to the centrifugal potential. For the bound states, we obtain the energy eigenvalues and the corresponding normalized eigenfunctions in terms of hypergeometric functions. In the scattering states, the phase shift relation is derived. Besides, we investigate the special potentials, which are defined in the literature and derived from to the multiparameter potential. Finally, by using the obtained relations, we give the results both for bound and scattering states numerically and graphically.
ISSN:0177-7963
1432-5411
DOI:10.1007/s00601-018-1375-x