Description of spatial characteristics of elastic processes within the formalism of the Wigner functions

被引:0
|
作者
A. N. Vall
I. A. Perevalova
M. V. Polyakov
O. N. Soldatenko
机构
[1] Irkutsk State University,
[2] Institute of Theoretical Physics at Ruhr University,undefined
来源
Russian Physics Journal | 2011年 / 54卷
关键词
elastic processes; Wigner’s function; quasi-probability distribution; algebra SO(2.1); two-particle collisions;
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学科分类号
摘要
Definition of the Wigner function is given and its application to a description of elastic scattering processes is analyzed. A new element of the well-known formalism is a choice of the phase space in which the Wigner function is assigned as a quasi-probability distribution. This is a 4-dimensional space of canonically conjugated quantities – transverse momentum of the scattered particle and the projection of the closest particle approach vector onto the plane perpendicular to the incident particle momentum. Exact expression for the average squared radius of the region of scattered particle production through the scattering amplitude is presented.
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页码:47 / 53
页数:6
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