Prospects for detection of ${\rm Y}(1D)\to {\rm Y}(1S)\pi \pi$ via ${\rm Y}(3S)\to {\rm Y}(1D)+X$

Abstract

At least one state in the first family of D-wave $b\bar{b}$ quarkonium levels has been discovered near the predicted mass of 10.16 GeV/$c^2$. This state is probably the one with J=2. This state and the ones with J=1 and J=3 may contribute a detectable amount to the decay ${\rm Y}(1D)\to {\rm Y}(1S)\pi \pi$, depending on the partial widths for these decays for which predictions vary considerably. The prospects for detection of the chain ${\rm Y}(3S)\to {\rm Y}(1D)+X\to {\rm Y}\pi \pi +X$ are discussed.

Comments: 4 pages, LaTeX, 1 figure, to be published in Phys. Rev. D, comment added after Eq. (2)