https://doi.org/10.1140/epjc/s10052-018-6416-6
Regular Article - Theoretical Physics
A new parametrization for the scalar pion form factors
1
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
2
Institut für Kernphysik, Institute for Advanced Simulation, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany
* e-mail: kubis@hiskp.uni-bonn.de
Received:
23
September
2018
Accepted:
1
November
2018
Published online:
10
December
2018
We derive a new parametrization for the scalar pion form factors that allows us to analyze data over a large energy range via the inclusion of resonances, and at the same time to ensure consistency with the high-accuracy dispersive representations available at low energies. As an application the formalism is used to extract resonance properties of excited scalar mesons from data for 
. In particular we find for the pole positions of 
and 
and 
, respectively. In addition, from their residues we calculate the respective branching ratios into 
to be 
and 
.
© The Author(s), 2018
