Use of spin-correlations to study low energy ΛΛ and ΛΛ space symmetries and resonances

A general method to investigate spin correlations between two weakly decaying spin 12 hyperons is presented and applied to measurement of the relative amounts of the SΛΛ = 1 or SΛΛ = 0 states as a function of the CM energy of any state of a ΛΛ or ΛΛ system with nonrelativistic relative motion and arbitrary orbital angular momentum. The large statistics experimental data existing in the multi-hadron decay of the Z0 and in pp annihilations at low energies can be used to search for nontrivial spin correlations expected if there are low-mass or subthreshold resonances in either the ΛΛ pair, like the proposed H dibaryon, or the ΛΛ system when emerging from a resonance decay. In the absence of such structures, the relative S = 0 part should show a low energy enhancement due to the Pauli exclusion principle for the ΛΛ system and angular momentum barrier considerations similar to those present in the Bose-Einstein correlation of identical bosons and seen in the KS0KS0 system when emerging from K0K0 pairs. This enhancement may be used as an estimate of the two-hyperon emitter dimension in the Z0 hadronic decays.