Approximate analytical solutions of scattering states for Klein-Gordon equation with Hulthén potentials for nonzero angular momentum

• Authors: Chang-Yuan Chen , Fa-Lin Lu , Dong-Sheng Sun
• Languages of publication: EN

Abstracts

EN

In this paper, using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Klein-Gordon equation with the vector and scalar Hulthén potential is transformed to a hypergeometric differential equation. The approximate analytical solutions of t-waves scattering states are presented. The normalized wave functions expressed in terms of hypergeometric functions of scattering states on the “k/2π scale” and the calculation formula of phase shifts are given. The physical meaning of the approximate analytical solution is discussed.

Keywords

EN

Hulthén potential; Klein-Gordon equation; scattering states; approximate analytical solution; phase shifts

Discipline

• 03.65.Pm: Relativistic wave equations
• 11.80.-m: Relativistic scattering theory
• 03.65.Db: Functional analytical methods

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 4
• Pages: 884-890

Dates

published

1 - 12 - 2008

online

27 - 9 - 2008

Contributors

author

Chang-Yuan Chen

• Department of Physics, Yancheng Teachers University, Yancheng, 224002, P. R. China

author

Fa-Lin Lu

• Department of Physics, Yancheng Teachers University, Yancheng, 224002, P. R. China

author

Dong-Sheng Sun

• Department of Physics, Yancheng Teachers University, Yancheng, 224002, P. R. China

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Identifiers

DOI

10.2478/s11534-008-0099-9