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Emittance measurement using the TOFs

Emittance measurement using the TOFs. First step: find 2x2 transfer matrix (1 transverse plane) Theory Hard to model fringe fields/Cherenkov energy loss Monte Carlo (MC) Consider evolution of phase space vector (PSV) for pairs of particles 2+2=4 equations for 4 unknowns

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Emittance measurement using the TOFs

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  1. Emittance measurement using the TOFs • First step: find 2x2 transfer matrix (1 transverse plane) • Theory • Hard to model fringe fields/Cherenkov energy loss • Monte Carlo (MC) • Consider evolution of phase space vector (PSV) for pairs of particles • 2+2=4 equations for 4 unknowns • Use 2nd order beam moments matrix Z • Evolves as M-1 Z M • Use MC pair of particles PSV evolution approach • Histogram results of simulation to check beam line is approximately linear as is generally assumed – i.e. check you get the same transfer matrix each time • Break the beam line into elements • Entire beam line, drift space, Cherenkov and quadrupole triplet Analysis Meeting

  2. u=(x, px) Units: mm, MeV/c uifinal = Mij ujinitial i, j = {1, 2} Location of measurement planes Initial: just after TOF0 Final: just before TOF1 Legend Muons, no scattering, no energy loss, no RMS spreads on these quantities Muons, full Geant4 scattering and energy loss model including RMS spreads Pions, full Geant4 scattering and energy loss model including RMS spreads Analysis Meeting

  3. u=(x, px) Units: mm, MeV/c uifinal = Mij ujinitial i, j = {1, 2} Location of measurement planes Initial: just after DSA wall Final: just before DSA wall Legend Muons, no scattering, no energy loss, no RMS spreads on these quantities Muons, full Geant4 scattering and energy loss model including RMS spreads Pions, full Geant4 scattering and energy loss model including RMS spreads Analysis Meeting

  4. u=(x, px) Units: mm, MeV/c uifinal = Mij ujinitial i, j = {1, 2} Location of measurement planes Initial: just after CKOV Final: just before CKOV Legend Muons, no scattering, no energy loss, no RMS spreads on these quantities Muons, full Geant4 scattering and energy loss model including RMS spreads Pions, full Geant4 scattering and energy loss model including RMS spreads Analysis Meeting

  5. u=(x, px) Units: mm, MeV/c uifinal = Mij ujinitial i, j = {1, 2} Location of measurement planes Initial: just after Q789 Final: just before Q789 Legend Muons, no scattering, no energy loss, no RMS spreads on these quantities Muons, full Geant4 scattering and energy loss model including RMS spreads Pions, full Geant4 scattering and energy loss model including RMS spreads Analysis Meeting

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