Renormalization of the three-body system with short-range interactions

被引：478

作者：

Bedaque, PF ^{[1
]}

Hammer, HW

van Kolck, U

机构：

[1] Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA

[2] TRIUMF, Vancouver, BC V6T 2A3, Canada

[3] CALTECH, Kellogg Radiat Lab, Pasadena, CA 91125 USA

[4] Univ Washington, Dept Phys, Seattle, WA 98195 USA

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 03期

关键词：

D O I：

10.1103/PhysRevLett.82.463

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss renormalization of the nonrelativistic three-body problem with short-range forces. The problem becomes nonperturbative at momenta of the order of the inverse of the two-body scattering length, and an infinite number of graphs must be summed. This summation leads to a cutoff dependence that does not appear in any order in perturbation theory. We argue that this cutoff dependence can be absorbed in a single three-body counterterm and compute the running of the three-body force with the cutoff. We comment on the relevance of this result for the effective field theory program in nuclear and molecular physics. [S0031-9007(98)08276-3].

引用

页码：463 / 467

页数：5

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