1P1 states of heavy quarkonia

This report deals with a study and estimation of various rates for both ψ(11P1) and Υ(11P1) produced in hadronic transitions and for ψ(11P1) in p anti p annihilation. Within the framework of QCD multipole expansion, despite the theoretical uncertainty due to the lack of sufficient information concerning magnetic transitions which are partly responsible for the production of 1P1 states, it is found possible to estimate these rates to within one order of magnitude. It is suggested that since VZNS did not propose a model for the heavy quark matrix element, it is difficult to compare the VZNS approach with KY when discussing the absolute rate for Υ(3S) → Υ(1P1)ππ. However by invoking anomaly relation and PCAC, a meaningful comparison of the two approaches can be made by comparing the ratio Γ[Υ'' → Υ(11P1)π0)-Γ[Υ'' → Υ(11P1)ππ) which is very large in VZNS and relatively small in KY model; this ratio is much less sensitive to the heavy quark piece of the matrix element for transition. Computation is made to determine the ππ spectrum in Υ(3S) → Υ(11P1)ππ which showed the unique feature that the dipion mass is peaked at low masses. In estimating the total width for ψ(11P1), it is found that the E1 transition ψ(11P1) → γnc is overwhelmingly dominant over all other channels. (Nogami, K.)