The schematic diagram for PID with AEROGEL, RICH and EMCal-time-of-flight is shown in Fig. 13.
And the detail is described in the order from low to higher momentum for pion, kaon and (anti-)proton, separately in the following. The lower limit of the momentum is determined by the magnetic field (namely, lower than the limit, the partile is curled up by the magnetic field), and it is assumed here as 0.5 GeV/c.
As a whole, charged pion can be identified from 0.5 to 3.7 GeV/c and from 5.5 to some 10 GeV/c (as high as momentum can be measured and statistics allows). Kaon and (anti-)proton are identified from 0.5 to 2 GeV/c, and then 5.5 to 7.0 GeV/c. Those momentum range is based on (I) the EMcal-time-of-flight resolution is 400 ps, and (II)the AEROGEL threshold is at 10 % of the maximum number of photoelectrons.
One should need additional consideration when both AEROGEL and RICH counter are used for the veto counter for proton idnetification. If these are needed as a trigger, an additional trigger logic to identify as a charged track is required to reject photon. The charge track identification needs to be done, for example, by drift chamber, or pad chamber but cannot be done by EMCal that has response also for photon.
To reduce the gap between 3.7 GeV/c and 5.5 GeV/c, it is needed either (i) RICH uses higher index of gas than 1 atm of (n = 1.00041) in order to make the 5.5 GeV/c down, or (ii) separation with AEROGEL according to the pulse height (for momentum range more than 10 % of maximum number of photoelectron) is possible to make the 3.7 GeV/c up. And the region above 7.0 GeV/c (for kaon and proton), the method (ii) is needed.
Please note that in Fig. 1, the threshold is raised to some 50 % of maximum number of photoelectrons.
It is done first by EMCal-time-of-flight, from 0.5 GeV/c, up to 1.2 GeV/c. Then AEROGEL covers pion identification from 1 to 3.7 GeV/c (when kaon fires AEROGEL). Above 5.5 GeV/c, RICH takes care pion identification up to the highest momentum, where statistics and momentum measurement allows, and where it is less than 17 GeV/c (where kaon begins to contaminate into pion for RICH).
Firtst, from 0.5 to 1.2 GeV/c, kaon identification is done by EMcal-time-of-flight as same way as pion. Second, from the 1.2 to 2 GeV/c, kaon PID is done veto-AEROGEL with EMCal-time-of-flight as non-(anti-)proton. Third, from 5.5 up to 7.0 GeV/c (when proton is contaminated into kaon), kaon PID is done by veto-RICH and AEROGEL.
First from 0.5 to 2 GeV/c, proton identification is done by EMcal-time-of-flight. Second, from 5.5 up to 7.0 GeV/c, proton is identified by veto-RICH and veto-AEROGEL with additional requirement as a charged track (but not as a photon).