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

共 20 条

[1] [Anonymous], ZH EKSP TEOR FIZ+
[2] Effective theory for neutron-deuteron scattering: Energy dependence
Bedaque, PF
Hammer, HW
van Kolck, U
[J]. PHYSICAL REVIEW C, 1998, 58 (02): : R641 - R644
[3] Nucleon-deuteron scattering from an effective field theory
Bedaque, PF
van Kolck, U
[J]. PHYSICS LETTERS B, 1998, 428 (3-4) : 221 - 226
[4] BEDAQUE PF, IN PRESS
[5] BEDAQUE PF, 1998, NUCL PHYSICS EFFECTI
[6] Renormalization effects in a dilute Bose gas
Braaten, E
Nieto, A
[J]. PHYSICAL REVIEW B, 1997, 55 (13): : 8090 - 8093
[7] DANILOV GS, 1963, SOV PHYS JETP-USSR, V17, P1015
[8] EFFECTIVE INTERACTION OF 3 RESONANTLY INTERACTING PARTICLES AND THE FORCE RANGE
EFIMOV, V
[J]. PHYSICAL REVIEW C, 1993, 47 (05): : 1876 - 1884
[9] EFIMOV VN, 1971, SOV J NUCL PHYS+, V12, P589
[10] EFFECTIVE-FIELD THEORY
GEORGI, H
[J]. ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, 1993, 43 : 209 - 252

← 1 2 →