Scattering lengths and medium and high energy pi pi scattering

被引:13
作者
Ananthanarayan, B
Buttiker, P
机构
[1] Institut für theoretische Physik, Universität Bern, Bern
来源
PHYSICAL REVIEW D | 1996年 / 54卷 / 09期
关键词
D O I
10.1103/PhysRevD.54.5501
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Crucial tests of chiral perturbation theory and determinations of chiral coupling constants rely on fine details of dispersion relation analysis of pi pi scattering data. Whereas a recent Roy equation analysis of low energy S and P waves with a(0)(0) in the range predicted by standard one-loop chiral perturbation theory, yielded sharp determinations of certain S- and P-wave threshold parameters only, we now extend the discussion to medium and high energy. This is shown to contribute to the D-wave scattering lengths a(2)(0) and a(2)(2) significantly, roughly 10% and 30% of their central experimental values, remaining consistent with chiral predictions. Results of our Roy equation fits to the F-wave scattering length a(3)(1), a quantity for which two-loop chiral perturbation theory holds important predictions, are presented.
引用
收藏
页码:5501 / 5508
页数:8
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