T.E.(PB/NT) = f(1/&beta(PAPB)) .
for proton events. The function f(x) is phenomenologically obtained by fitting the correlation, and it is determined by the functional relationship between total energy VS 1/&beta, Birk saturation, PMT nonlinearlity, and so on. The proton ID function, PID, is then defined asPID= T.E.(PB/NT) - f(1/&beta(PAPB)) (MeVee).
In E570, the function is defined arm-by-arm and cycle-by-cycle.The stability of the ID function has been checked run-by-run arm-by-arm.