Calculation of the anomalous $γπ^* \to ππ$ form factor

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dc.creatorAlkofer, R.
dc.creatorRoberts, C. D.
dc.date1995-10-12
dc.date.accessioned2026-07-07T11:35:12Z
dc.date.available2026-07-07T11:35:12Z
dc.descriptionThe form factor for the anomalous process $γπ^* \to ππ$, $F^{3π}(s,t,u)$, is calculated as a phenomenological application of the QCD Dyson-Schwinger equations. The chiral-limit value dictated by the electromagnetic, anomalous chiral Ward identity, $F^{3π}(0,0,0)= e N_c/(12π^2 f_π^3)$, is reproduced, {\it independent} of the details of the modelling of the gluon and quark 2-point Schwinger functions. Using a parametrisation of the dressed $u$-$d$ quark 2-point Schwinger function that provides a good description of pion observables, such as $π$-$π$ scattering-lengths and the electromagnetic pion form factor, $F^{3π}(s,t,u)$ 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 $s$.
dc.description13 Pages, 2 figures, REVTEX, uses epsfig
dc.identifierhttps://arxiv.org/abs/hep-ph/9510284
dc.identifierhttp://arxiv.org/abs/hep-ph/9510284
dc.identifierPhys.Lett.B369:101-107,1996
dc.identifierdoi:10.1016/0370-2693(95)01517-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198512
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleCalculation of the anomalous $γπ^* \to ππ$ form factor
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