Calculation of the anomalous γπ ^{∗} → ππ form factor
Abstract
The form factor for the anomalous process γπ ^{∗} → ππ , F^{3 π}( s, t, u), is calculated as a phenomenological application of the QCD DysonSchwinger equations. The chirallimit value dictated by the electromagnetic, anomalous chiral Ward identity, is reproduced, independent of the details of the modelling of the gluon and quark 2point Schwinger functions. Using a parametrization of the dressed u d quark 2point Schwinger function that provides a good description of pion observables F^{3 π}( 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.
 Publication:

Physics Letters B
 Pub Date:
 February 1996
 DOI:
 10.1016/03702693(95)015175
 arXiv:
 arXiv:hepph/9510284
 Bibcode:
 1996PhLB..369..101A
 Keywords:

 PACS;
 13.40.GP;
 14.40.AQ;
 12.38.LG;
 24.85.+P;
 HADRON PHYSICS Fπππ (S);
 DYSONSCHWINGER EQUATIONS;
 EFFECTS OF QUARK AND GLUON CONFINMENT;
 QCD PHENOMENOLOGY;
 NONPERTURBATIVE QCD;
 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 13 Pages, 2 figures, REVTEX, uses epsfig