https://doi.org/10.1140/epjc/s10052-009-1083-2
Regular Article - Theoretical Physics
Final state interactions in the decays J/ψ→VPP
1
Department of Applied Physics, Xi’an Jiaotong University, Xi’an, 710049, China
2
Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany
3
Institute for Advanced Simulation, Forschungszentrum Jülich, 52425, Jülich, Germany
4
Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
* e-mail: c.hanhart@fz-juelich.de
Received:
19
January
2009
Revised:
29
May
2009
Published online:
27
June
2009
We investigate the interplay between crossed channel final state interactions and the constraints from two-particle unitarity for the reactions J/ψ→V
π
π and
, where V is either ω or φ. Using a model where the parameters are largely constrained by other sources, we find that, although small, crossed channel final state interaction can influence the amplitudes considerably, in special areas of phase space. These results cast doubt on the inapplicability of unitarity constraints on production amplitudes as recently claimed in the literature.
© Springer-Verlag , 2009
