Bs. Newberger et al., EFFECT OF BETATRON MOTION ON PARTICLE LOSS DUE TO LONGITUDINAL DIFFUSION IN HIGH-ENERGY COLLIDERS, Physical review letters, 71(3), 1993, pp. 356-359
Strictly one-dimensional theories of particle loss due to longitudinal
diffusion model the loss by an absorbing boundary condition at the se
paratrix of the underlying unperturbed motion. Particle loss always oc
curs at a physical aperture and the loss is always coupled to the beta
tron motion. A theory of particle loss which includes the effect of be
tatron motion is presented. Results are compared with Monte Carlo simu
lations.