A SEMIRELATIVISTIC TREATMENT OF SPINLESS PARTICLES SUBJECT TO THE YUKAWA POTENTIAL WITH ARBITRARY ANGULAR MOMENTA

We obtain analytical solutions of the two-body spinless Salpeter (SS) equation with the Yukawa potential within the conventional approximation scheme to the centrifugal term for any l-state. The semirelativistic bound-state energy spectra and the corresponding normalized wave functions are calculate...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of modern physics. E, Nuclear physics Vol. 21; no. 2; pp. 1250016 - 1250013
Main Authors HAMZAVI, MAJID, IKHDAIR, SAMEER M., SOLAIMANI, M.
Format Journal Article
LanguageEnglish
Published World Scientific Publishing Company 01.02.2012
Subjects
Approximation
Coulomb friction
Energy spectra
Exact solutions
Mathematical analysis
Mathematical models
Wave functions
Yukawa potential
Spinless Salpeter equation
Coulomb potential
Yukawa potential
Nikiforov–Uvarov method
Schrödinger equation
Online AccessGet full text

Cover

More Information
Summary:We obtain analytical solutions of the two-body spinless Salpeter (SS) equation with the Yukawa potential within the conventional approximation scheme to the centrifugal term for any l-state. The semirelativistic bound-state energy spectra and the corresponding normalized wave functions are calculated by means of the Nikiforov–Uvarov (NU) method. We also obtain the numerical energy spectrum of the SS equation without any approximation to centrifugal term for the same potential and compare them with the approximated numerical ones obtained from the analytical expressions. It is found that the exact numerical results are in good agreement with the approximated ones for the lower energy states. Special cases are treated like the nonrelativistic limit and the solution for the Coulomb problem.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0218-3013
1793-6608
DOI:10.1142/S0218301312500164