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Testing the consistency of the $omegapi$ transition form factor with unitarity and analyticity | I. Caprini
; | Date: |
20 May 2015 | Abstract: | We perform a dispersive analysis of the $omegapi$ electromagnetic
transition form factor, using as input the discontinuity provided by unitarity
below the $omegapi$ threshold and including for the first time experimental
data on the modulus measured from $e^+e^- oomegapi^0$ at higher energies.
The input leads to stringent parameterization-free constraints on the modulus
of the form factor below the $omegapi$ threshold, which are in disagreement
with some experimental values measured from $omega o pi^0gamma^*$ decay. We
discuss the dependence on the input parameters in the unitarity relation, using
for illustration an $N/D$ formalism for the P partial wave of the scattering
process $omegapi o pipi$, improved by a simple prescription which
simulates the rescattering in the crossed channels. Our results confirm the
existence of a conflict between experimental data and theoretical calculations
of the $omegapi$ form factor in the region around 0.6 GeV and bring further
arguments in support of renewed experimental efforts to measure more precisely
the $omega opi^0gamma^*$ decay. | Source: | arXiv, 1505.5282 | Services: | Forum | Review | PDF | Favorites |
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