Physics – Accelerator Physics
Scientific paper
1995-10-27
Phys.Lett. A194 (1994) 113-118
Physics
Accelerator Physics
10 pages, plain LaTeX; published in Phys. Lett. A194 (1994) 113-118
Scientific paper
On the basis of the recently proposed {\it Thermal Wave Model (TWM) for particle beams}, we give a description of the longitudinal charge particle dynamics in circular accelerating machines by taking into account both radiation damping and quantum excitation (stochastic effect), in presence of a RF potential well. The longitudinal dynamics is governed by a 1-D Schr\"{o}dinger-like equation for a complex wave function whose squared modulus gives the longitudinal bunch density profile. In this framework, the appropriate {\it r.m.s. emittance} scaling law, due to the damping effect, is naturally recovered, and the asymptotic equilibrium condition for the bunch length, due to the competition between quantum excitation (QE) and radiation damping (RD), is found. This result opens the possibility to apply the TWM, already tested for protons, to electrons, for which QE and RD are very important.
Fedele Renato
Miele Gennaro
Palumbo Luigi
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