Comment on the hadronic decay of excited heavy quarkonia

Abstract

We make comments on ref.[1], and provide partial wave analysis to the decays of excited heavy S-wave 1 − quarkonia into the basic 1 − quarkonia state plus ππ. It is revealed that there exist contributions of D-wave transition in ψ −→ J/ψππ, Υ(2S) −→ Υ(1S)ππ and Υ(3S) −→ Υ(1S)ππ by using the data-fitting results in ref. [1]. A possible experimental method to measure the D-wave directly is discussed.

Study of ππ final state interactions in ψ(2 S )→π + π − J/ψ

“…It is easy to see that the g 1 -term contains a D wave component, under Lorentz transformation, p 0 π + p 0 π − can be expressed as [7] p 0 π + p 0 π − = A(q 2 )P 0 (cos θ * π )+ B(q 2 )P 2 (cos θ * π ), (6) with…”