Is Upsilon(3S) a pure S-wave?

Abstract

Assuming the QCD multipole expansion is applicable to hadronic transitions of Upsilon(3S) into lower level bottomonia, we consider the possibility that Upsilon(3S) has a D-wave component. This assumption leads to a natural explanation of the pi-pi spectrum in Upsilon(3S) -> Upsilon(1S) pi-pi. Consequences of this assumption on other hadronic and radiative transitions of Upsilon(3S) are also discussed in the same context.

Comments: 18 pages (Latex), 2 figures (not included) available on request from Sun Myong Kim. UMN-TH-1122/92