LORENTZ POLES AND BETHE-SALPETER EQUATIONS - DOES AN INFINITE NUMBER OF LORENTZ POLES EXIST

被引:4
作者
CHANG, NP
SAXENA, RP
机构
[1] Physics Department, City College of the City University of New York, New York
[2] Department of Physics, University of Delhi, Delhi
来源
PHYSICAL REVIEW | 1968年 / 176卷 / 05期
关键词
D O I
10.1103/PhysRev.176.2101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The possibility of the existence of an infinite family of Lorentz poles is investigated using a dynamical model. For spinless scalar particles (mass m) scattering via the exchange of another spinless scalar particle (mass μ), the Bethe-Salpeter equation is solved in two limiting cases, μ=0 and μ→. In both cases it is shown that the O(4) projected amplitude is meromorphic in n (the four-dimensional angular momentum) and that there are an infinite number of poles in the n plane. © 1968 The American Physical Society.
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页码:2101 / &
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