Extracting ππ S-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
Liu, Xiao-Hai · Guo, Feng-Kun · Epelbaum, Evgeny
Original · EN
Charge-exchange rescattering π+π-→ π⁰π⁰ leads to a cusp effect in the π⁰π⁰ invariant mass spectrum of processes with π⁰π⁰ in the final state which can be used to measure ππ S-wave scattering lengths. Employing a non-relativistic effective field theory, we discuss the possibility of extracting the scattering lengths in heavy quarkonium π⁰π⁰ transitions. The transition Υ(3S)→Υ(2S)π⁰π⁰ is studied in details. We discuss the precision that can be reached in such an extraction for a certain number of events.
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