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SEMI-RELATIVISTIC SOLUTIONS OF THE TWO-BODY SPINLESS SALPETER EQUATION UNDER THE WOODS–SAXON POTENTIAL AND THE PEKERIS APPROXIMATION

H. FEIZI

Faculty of Physics, Shahid Bahonar University of Kerman, Kerman, Iran

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M. HOSEININAVEH

Faculty of Physics, Shahid Bahonar University of Kerman, Kerman, Iran

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, and

A. H. RANJBAR

Faculty of Physics, Shahid Bahonar University of Kerman, Kerman, Iran

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https://doi.org/10.1142/S0218301313500390Cited by:3 (Source: Crossref)

Abstract

In this paper, by applying the Pekeris approximation and in the frame of Supersymmetric Quantum Mechanics (SUSYQM), the semi-relativistic solutions of the two-body spinless Salpeter equation are obtained analytically. For an interaction of nuclear form, we obtain the approximate bound-state energy eigenvalues and the corresponding wave functions using the shape invariance concept. The solutions are reported for any l state and some energy eigenvalues are given. These results are useful in elementary-particle physics and nuclear physics to obtain the bound states spectra of relativistic systems such as fermion–antifermion systems.

Keywords:

PACS: 03.65.Ge, 11.10.St, 12.39.Pn

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