Finding the sigma pole by analytic extrapolation of ππ scattering data

被引：50

作者：

Caprini, Irinel ^{[1
]}

机构：

[1] Natl Inst Phys & Nucl Engn, R-077125 Bucharest, Romania

来源：

PHYSICAL REVIEW D | 2008年 / 77卷 / 11期

关键词：

D O I：

10.1103/PhysRevD.77.114019

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

I investigate the determination of the sigma pole from pi pi scattering data below the K (K) over bar threshold, including the new precise results obtained from K-e4 decay by NA48/2 Collaboration. I discuss also the experimental status of the threshold parameters a(0)(0) and b(0)(0) and the phase shift delta(0)(0). In order to reduce the theoretical bias, I use a large class of analytic parametrizations of the isoscalar S wave, based on expansions in powers of conformal variables. The sigma pole obtained with this method is consistent with the prediction based on ChPT and Roy equations. However, the theoretical uncertainties are now larger, reflecting the sensitivity of the pole position to the specific parametrizations valid in the physical region. I conclude that Roy equations offer the most precise method for the determination of the sigma pole from pi pi elastic scattering.

引用

页数：11

共 40 条

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