The ππ S-wave scattering lengths

被引：130
|
作者：
Colangelo, G
Gasser, J
Leutwyler, H
机构：
[1] Univ Zurich, Inst Theoret Phys, CH-8057 Zurich, Switzerland
[2] Univ Bern, Inst Theoret Phys, CH-3012 Bern, Switzerland
来源：
PHYSICS LETTERS B | 2000年 / 488卷 / 3-4期
关键词：
Roy equations; dispersion relations; partial wave analysis; meson-meson interactions; pion-pion scattering; chiral symmetries; chiral perturbation theory;
D O I：
10.1016/S0370-2693(00)00898-4
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We match the known chiral perturbation theory representation of the pi pi scattering amplitude to two loops with a phenomenological description that relies on the Roy equations. On this basis, the corrections to Weinberg's low energy theorems for the S-wave scattering lengths are worked out to second order in the expansion in powers of the quark masses. The resulting predictions, a(0)(0) = 0.220 +/- 0.005, a(0)(2) = -0.0444 +/- 0.0010, contain remarkably small uncertainties and thus allow a very sensitive experimental test of the hypothesis that the quark condensate is the leading order parameter of the spontaneously broken chiral symmetry. (C) 2000 Elsevier Science B,V. All rights reserved.
引用
收藏
页码：261 / 268
页数：8
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