On the Ladder Bethe-Salpeter Equation

被引：0

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：

暂无

中图分类号：

学科分类号：

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.

引用

页码：199 / 217

页数：18

共 3 条

[1] On the ladder Bethe-Salpeter equation
Efimov, GV
FEW-BODY SYSTEMS, 2003, 33 (04) : 199 - 217
[2] Reduction of the Bethe-Salpeter equation for the amplitude of the scattering of spin-1 particles to a set of integral equations for invariant functions
A. Yu. Loginov
V. N. Stibunov
Physics of Atomic Nuclei, 2004, 67 : 856 - 871
[3] Charge-exchange reaction pd → n(pp) within the Bethe-Salpeter approach
S. M. Dorkin
L. P. Kaptari
B. Kämpfer
S. S. Semikh
Physics of Atomic Nuclei, 2002, 65 : 442 - 455

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