Analysis of the Rossi-α experiment through Pal-Bell's equation

Pal-Bell's equation for the probability generating function of neutron counts has been analytically solved in the case of three time states, using two-forked approximation. From this solution it is found that all experimental data on neutron fluctuation consist individually of only three basic parameters. The average counting rate C, the decay constant α and the chain register rate C_r are in this instance chosen for the three fundamental measures of correlation. The original observation is presented that C_r can be obtained precisely by determining the waiting time distribution for the triggering of the time analyzer. The correlated and uncorrelated parts of the Rossi-α data in a thermal system have been analyzed by this three-parameter scheme, and a consistent explanation is given of the results obtained. (author)