Optimization of the Target for Muon Colliders.

Physics

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Scientific paper

To obtain high luminosity in a muon collider it is necessary to produce and collect a large number of muons. To evaluate the various nuclear cascade codes, we calculated the rate of particle production and energy deposition of a 1 cm radius target with a radiation length of 1.5, of carbon or copper, placed in a 28 Tesla solenoid field, into which 8 or 30 GeV protons were injected using the LAHET and GEANT codes. We compared the results with those calculated with MARS, DPMJET and ARC. The positive pion yields from the LAHET are almost the same as tose from the MARS calculation, however, the negative pion yield for the high energy proton injection is higher than the yield of positive pions. The yield of positive and negative pions by GEANT code are, respectively, 1.5 and 2.0 times greater than the MARS calculation. The energy deposition calculated by the GEANT code is very close to the one calculated by MARS: 143 and 153 kW/cc for carbon target at 8 and 30 GeV proton injected, and for copper target they are, respectively, 376 and 744 kW/cc. The deposition energy in the copper target calculated by the LAHET codes is smaller than those obtained by GEANT code.

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