Target density Goran Skoro 12 November 2008. A Simple Model for Pion Yield from the Target Assume...
-
Upload
margaret-idell -
Category
Documents
-
view
215 -
download
3
Transcript of Target density Goran Skoro 12 November 2008. A Simple Model for Pion Yield from the Target Assume...
Target density
Goran Skoro
12 November 2008
A Simple Model for Pion Yield from the Target
Assume that the number of pions produced per proton hitting the target is p and that the fraction of pions absorbed in the target is a. Then, the yield of pions for a solid target is,
Y = p(1-a)
and for a target of the same geometry and material
but density f, is,
Yf = fp(1-fa)
The ratio,
R = Yf /Y=f(1-fa)/(1-a)
is shown here as f varies.
N.B. No magnetic field. Acceptance not included.
Roger Bennett’s model*
*http://www.hep.princeton.edu/~mcdonald/mumu/target/bennett/bennett_110608b.pdf
Rati
o o
f p
ion
yie
lds,
R =
Y(
targ
et/Y
(tu
ng
ste
n
Density ratio, f = target/tungsten
Model vs. MARS simulations
MARS: 10 GeV protons,parabolic beam,target length = 25 cm,target diameter = 2 cm.
Yields are from target surface, not downstream.
John Back’s ICOOL probability acceptance map*
*http://hepunx.rl.ac.uk/uknf/wp3/pimuyields/pimuYield_12Jun08.pdf
These pions vs. model?
Case I: all pions
Case II: forward pions
TARGETp beam
pions
TARGETp beam
pions
Model vs. MARS simulations – Case I
TARGETp beam
pions
Model vs. MARS simulations – Case I
TARGETp beam
pions
Model vs. MARS simulations – Case II
TARGETp beam
pions
Model vs. MARS simulations – Case II
TARGETp beam
pions