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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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Detalles Bibliográficos
Autor principal: Tückmantel, Joachim
Lenguaje:eng
Publicado: 2010
Materias:
Acceso en línea:https://dx.doi.org/10.5281/zenodo.8297072
http://cds.cern.ch/record/2868941
Descripción
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.