Bound states and power counting in effective field theories

被引：122

作者：

Luke, M ^{[1
]}

Manohar, AV ^{[1
]}

机构：

[1] UNIV CALIF SAN DIEGO,DEPT PHYS,LA JOLLA,CA 92093

来源：

PHYSICAL REVIEW D | 1997年 / 55卷 / 07期

关键词：

CHIRAL LAGRANGIANS; NUCLEAR-FORCES; HEAVY MESONS; QCD;

D O I：

10.1103/PhysRevD.55.4129

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The problem of bound states in effective field theories is studied. A rescaled version of nonrelativistic effective field theory is formulated which makes the velocity power counting of operators manifest. Results obtained using the rescaled theory are compared with known results from NRQCD. The same ideas are then applied to study Yukawa bound states in 1+1 and 3+1 dimensions, and to analyze when the Yukawa potential can be replaced by a delta-function potential. The implications of these results for the study of nucleon- nucleon scattering in chiral perturbation theory are discussed.

引用

页码：4129 / 4140

页数：12

共 18 条

[1] RIGOROUS QCD ANALYSIS OF INCLUSIVE ANNIHILATION AND PRODUCTION OF HEAVY QUARKONIUM [J].