# 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.

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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, Y f = fp(1-fa) The ratio, R = Y f /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

Ratio of pion yields, R = Y(  target  /Y(  tungsten  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 TARGET p beam pions TARGET p 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

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