S. Chakravarty et al., FINAL-STATE PI-PI INTERACTIONS IN UPSILON (3S)-]UPSILON(1S)PI-PI, Physical review. D. Particles and fields, 50(1), 1994, pp. 389-394
The m(pipi) spectrum and various angular distributions in UPSILON(3S)
--> UPSILON(1S) pipi are studied including the effects of the pipi pha
se shift in the I = L = 0 channel using the lowest order amplitude in
the pion momentum expansion. Our results are compared with the recent
CLEO data, and we find good agreement except for the costheta(pi) dis
tributions. We argue that the costheta(pi) distribution, contrary to
other distributions, is sensitive to the higher order corrections in t
he pion momentum expansion. This argument is supported by using an ans
atz for the amplitude which is of higher order in the pion momentum ex
pansion and still satisfies the soft pion theorem.