The dE/dx vs. rigidity plots are first parmeterized by the Bethe-Bloch equation in the regions where the bands are clearly separated. Combining the information of more than one particle allows one to determine the centroid of the dE/dx bands in locations where the bands are not separated.
Next the particles are selected from a cut of theta=90+-15 in the center of mass. This is done before particle identification, so the particle mass has to be assumed to boost to the center of mass and make this cut. To do this, the particle-of-interest mass is used to boost all of the particles to the center of mass, and the cut is made. The particle of interest is selected from the bands , and the other particles are ignored. This is done for all of the particles of interest. The particles that are obtainable with this method are the protons, negative pions, and the helions.
The positive pions cross the protons and are removed in a more complicated
way. The ratio
of the pi+ and pi- are sutdied where the bands are separated. From
this ratio the pi+/pi- ratio is extrapolated into the region where the
pions and protons cross. Using this ratio and the yield of pi-, the
pi+ are predicted and subtracted
from the protons.