Studies on $π^+π^-$ phase motion in the $Ψ'\to J/Ψπ^+ π^-$ process

Details Studies on $π^+π^-$ phase motion in the $Ψ'\to J/Ψπ^+ π^-$ process Studies on $π^+π^-$ phase motion in the $Ψ'\to J/Ψπ^+ π^-$ process

2008-05-19

arxiv.org/abs/0805.2780v1

Phys.Rev.D78:076010,2008

Physics

High Energy Physics

High Energy Physics - Experiment

16 pages, 1 figure

Scientific paper

10.1103/PhysRevD.78.076010

We propose a measurement on the elastic $\pi\pi$ scattering phase shift difference $\delta^0_0-\delta^2_0$ through $\Psi'\to J/\Psi \pi^+ \pi^-$ process in future high statistics BES-III experiment. The decay amplitude is constructed with seven Lorentz invariant form-factors and is compared with their theoretical estimation. It is found that the phase shift difference can be obtained, based on a Monte Carlo study and it is expected the phase shift in the energy region between 350 MeV to 550 MeV can be measured at future BES-III.

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