On the Ladder Bethe-Salpeter Equation

被引：0
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作者：
G. V. Efimov
机构：
[1] Bogoliubov Laboratory of Theoretical Physics,
[2] Joint Institute for Nuclear Research,undefined
[3] Dubna,undefined
[4] Russia,undefined
来源：
Few-Body Systems | 2003年 / 33卷
关键词：
Integral Equation; Numerical Calculation; Scalar Field; Analytical Form; Variational Problem;
D O I：
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摘要：
The Bethe-Salpeter (BS) equation in the ladder approximation is studied within a scalar theory: two scalar fields (constituents) with mass m interacting via an exchange of a scalar field (tieon) with mass μ. The BS equation is written in the form of an integral equation in the configuration Euclidean x-space with the kernel which for stable bound states M < 2m is a self-adjoint positive operator. The solution of the BS equation is formulated as a variational problem. The nonrelativistic limit of the BS equation is considered. The role of so-called abnormal states is discussed.
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页码：199 / 217
页数：18
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