A renormalisation-group treatment of two-body scattering

被引：183
|
作者：
Birse, MC [1 ]
McGovern, JA [1 ]
Richardson, KG [1 ]
机构：
[1] Univ Manchester, Dept Phys & Astron, Theoret Phys Grp, Manchester M13 9PL, Lancs, England
来源：
PHYSICS LETTERS B | 1999年 / 464卷 / 3-4期
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.1016/S0370-2693(99)00991-0
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Nonrelativistic two-body scattering by a short-ranged potential is studied using the renormalisation group. Two fixed points are identified: a trivial one and one describing systems with a bound state at zero energy. The eigenvalues of the linearised renormalisation group are used to assign a systematic power-counting to terms in the potential near each of these fixed points. The expansion around the nontrivial fixed point is shown to be equivalent to the effective-range expansion. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：169 / 176
页数：8
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