OFF- AND ON-SHELL ANALYTICITY OF 3-PARTICLE SCATTERING AMPLITUDES

被引:44
作者
BRAYSHAW, DD
机构
[1] Rockefeller University, New York, NY
[2] Department of Physics, Columbia University, New York, NY
来源
PHYSICAL REVIEW | 1968年 / 176卷 / 05期
关键词
D O I
10.1103/PhysRev.176.1855
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Off-shell analytic properties are obtained for amplitudes which satisfy approximate three-body equations of the Faddeev-Lovelace type. These properties are used to construct an explicit representation for the off-shell three-particle amplitude in terms of the solution of a new integral equation. The advantages of this new equation for both analytical and computational purposes are discussed, and the representation is used to determine on-shell analyticity for the amplitude. The form of the representation is such that the important three-body singularities are exhibited in a particularly transparent fashion. © 1968 The American Physical Society.
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页码:1855 / &
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