Calculation of the anomalous gamma pi(*)->pi pi form factor

被引:39
作者
Alkofer, R [1 ]
Roberts, CD [1 ]
机构
[1] ARGONNE NATL LAB,DIV PHYS,ARGONNE,IL 60439
关键词
Hadron physics F-gamma pi pi pi(s); Dyson-Schwinger equations; effects of quark and gluon confinement; QCD phenomenology; nonperturbative QCD;
D O I
10.1016/0370-2693(95)01517-5
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The form factor for the anomalous process gamma pi* --> pi pi, F-3 pi (s, t, u), is calculated as a phenomenological application of the QCD Dyson-Schwinger equations. The chiral-limit value dictated by the electromagnetic, anomalous chiral Ward identity, is reproduced, independent of the details of the modelling of the gluon and quark 2-point Schwinger functions. Using a parametrization of the dressed u-d quark 2-point Schwinger function that provides a good description of pion observables F-3 pi(s, t, u) is calculated on a kinematic range that proposed experiments plan to explore. Our result confirms the general trend of other calculations, i.e., a monotonic increase with s at fixed t and u, but is uniformly larger and exhibits a more rapid rise with s.
引用
收藏
页码:101 / 107
页数:7
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