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Line-density and Hamiltonian desity, random bunch set-up
We assume an equilibrium bunch in a synchrotron with multi-frequency RF system and possibly energy loss or acceleration per turn; for this bunch a linear line-density λ(τ) is given. We want first to determine a mathematical expression for the density function ρ in 2-dimensional longitudinal phase...
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Lenguaje: | eng |
Publicado: |
2010
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.5281/zenodo.8297072 http://cds.cern.ch/record/2868941 |
Sumario: | We assume an equilibrium bunch in a synchrotron with multi-frequency RF system and possibly energy loss or acceleration per turn; for this bunch a linear line-density λ(τ) is given. We want first to determine a mathematical expression for the density function ρ in 2-dimensional longitudinal phase space having this τ -projection λ(τ) and then a randomized set of macro-particles corresponding to it. |
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