Instantaneous Bethe-Salpeter Equation and Its Analog： Breit-like Equation

We take the （μ^±e^-＋） system as an example, but restrict ourselves to highlight the states with quantum number J^P = 0^-, to explore the different contents of the instantaneous Bethe-Salpeter （BS） equation and its analog, the relativistic version of Breit equation, by solving them exactly. The resul...

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Bibliographic Details
Published in:Communications in theoretical physics 2005-10, Vol.44 (4), p.646-650
Main Authors: Chang, Chao-Hsi, Chen, Jiao-Kai
Format: Article
Language:English
Subjects:
Bethe-Salpeter方程
Breit类方程
波函数
精确解
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Summary:We take the （μ^±e^-＋） system as an example, but restrict ourselves to highlight the states with quantum number J^P = 0^-, to explore the different contents of the instantaneous Bethe-Salpeter （BS） equation and its analog, the relativistic version of Breit equation, by solving them exactly. The results show that the two equations are not equivalent, although they are analogous. Furthermore, since the Breit equation contains extra un-physical solutions, so we point out that it should be abandoned if one wishes to have an accurate description of the bound states for the instantaneous interacting binding systems.
ISSN:0253-6102
DOI:10.1088/6102/44/4/646