Causality and the effective range expansion

被引：64

作者：

Hammer, H. -W. ^{[1
,2
]}

Lee, Dean ^{[1
,2
,3
]}

机构：

[1] Univ Bonn, Helmholtz Inst Strahlen & Kernphys Theorie, D-53115 Bonn, Germany

[2] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany

[3] N Carolina State Univ, Dept Phys, Raleigh, NC 27695 USA

来源：

ANNALS OF PHYSICS | 2010年 / 325卷 / 10期

关键词：

Causality bounds; Effective range; Universality; Unitarity limit; Large scattering length; EFFECTIVE-FIELD THEORY; SCATTERING; FORCES; SYSTEM;

D O I：

10.1016/j.aop.2010.06.006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive the generalization of Wigner's causality bounds and Bethe's integral formula for the effective range parameter to arbitrary dimension and arbitrary angular momentum. We also discuss the impact of these constraints on the separation of low- and high-momentum scales and universality in low-energy scattering. Some of our results were summarized earlier in a letter publication. In this work, we present full derivations and several detailed examples. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2212 / 2233

页数：22

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