0 Calculating the Decay Rate of R - hadrons

We assumed that the four gluino containing R-hadrons are the lightest hadrons which contain the LSP. The lighest among these is stable and the other three can deacy into it. Gluon-quark-quark bound state is not observed in nature. One asumption is that it is a repulsive channel in non-purturbative QCD and consequently unstable. On the other hand glueballs are observed and have a finite mass and lifetime. With the same reasoning we beleive that gluino-gluon bound state is in a lower energy state than gluino-quark-quark bound state and therefore R 0 is the lightest R-hadron. We will next estimate the decay rate of˜ρ + and˜ρ 0 into R 0. 1 ˜ ρ + decay rate As long as the mass difference betweeñ ρ + and R 0 is less than a pion mass, ˜ ρ + will only weakly decay into R 0 , e + , ν e as shown in GRAPH1. It is not easy to calculate this decay rate due to the non-purturbative effects of having light and slow moving, up and down quarks. One difficulty is to estimate the wavefunction at the origin of the bound states. A way of estimating this decay rate is to compare it with some well known decay process which is similar and we can at least eliminate the wavefunction at the origin. We looked at the ρ → e + e − process. from Peskin and Schroder we remind that