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

Alkofer, Reinhard; Roberts, Craig D.

doi:10.1016/0370-2693(95)01517-5

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

Reinhard Alkofer
(
- Tubingen U.
)
,
Craig D. Roberts
(
- Argonne, PHY
)

Oct, 1995

13 pages

Published in:

Phys.Lett.B 369 (1996) 101-107

e-Print:

hep-ph/9510284 [hep-ph]

DOI:

10.1016/0370-2693(95)01517-5

Report number:

ANL-PHY-8214-TH-95,
UNITU-THEP-15-1995

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Abstract:

The form factor for the anomalous process

\gamma \pi ~* \to \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,

F~{3\pi}(0,0,0)= e N_c/(12\pi~2 f_\pi~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

\pi

-

\pi

scattering-lengths and the electromagnetic pion form factor,

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

.

13.40.Gp
14.40.Aq
12.38.Lg
24.85.+p
Hadron physics F γπππ ( s )
Dyson-Schwinger equations
Effects of quark and gluon confinement
QCD phenomenology
Nonperturbative QCD
Hadron physics Fγπππ( s)

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