The measurement of CP violation
requires an interaction rate of around 40 MHz,
i.e. 5 interactions per bunch crossing.
One has to compare this with the natural loss rate of the proton beam.
With a typical current of 80 mA (i.e. protons) and a
lifetime of 100 hours the HERA proton beam just loses 30 MHz of protons.
This demonstrates that the target has to collect very efficiently the
protons before they get lost, and that the target has to scrape away
protons
from the tails of the beam in case the initial lifetime is too high.
The target efficiency
is defined
as the ratio between the interaction rate in the HERA-B target and the
total HERA proton loss rate, which is given by the current and the lifetime.
A target efficiency above 50% is aspired not to reduce the proton lifetime
below 50 hours.
At this accepted level the target don't cut severely into the
efficiency of the other HERA experiment because the
HERA luminosity lifetime is usually less than 10 h, mainly determined
by the electron lifetime and the emittance growth
.
The interactions produced on the target
follows the Poisson statistics:
where describes the probability to observe n interactions
in a bunch crossing (bx) if the mean number of interactions per bx
is
. The variance of the Poisson distribution is equal to the
mean value
, i.e. one gets a broad
distribution.
The capability of the HERA-B detector, optimized for a mean of five overlaid
events, is limited by high occupancies and high
radiation doses.
The following lists summarizes the basic operation conditions
to the target
by means of the three most important efficiency requirements: