Equilibrium state of colliding electron beams

The Equilibrium State of Colliding Electron Beams ∗

We study a nonlinear integral equation that is a necessary condition on the equilibrium phase space distribution function of stored, colliding electron beams. It is analogous to the Ha¨ıssinski equation, being derived from Vlasov-Fokker-Planck theory, but is quite different in form. The equation is analyzed for the case of the Chao-Ruth model of the beam-beam interaction in one degree of freedo...

Integral Equation for the Equilibrium State of Colliding Electron Beams

We study a nonlinear integral equation for the equilbrium phase distribution of stored colliding electron beams. It is analogous to the Haı̈ssinski equation, being derived from Vlasov-Fokker-Planck theory, but is quite different in form. We prove existence of a unique solution, thus the existence of a unique equilibrium state, for sufficiently small current. This is done for the Chao-Ruth model ...

Final State Hadrons in Deep Inelastic Processes and Colliding Beams*

Longitudinally Polarized Colliding Beams

The feasibility of experiments with the polarized colliding beams expands significantly possibilities of getting information on fundamental interactions. Even the use of the transversely polarized beams enables getting the more reliable and clear definition of spins for the intermediate states and final particles,1p2 as well as to introduce the precise absolute energy scale.3-s But only the use...

Quasi-monoenergetic electron beams produced by colliding cross-polarized laser pulses in underdense plasmas

The interaction of two laser pulses in an underdense plasma has been proven to be able to inject electrons into plasma waves, thus providing a stable and tunable source of electrons. Whereas previous works focused on the ‘beatwave’ injection scheme in which two lasers with the same polarization collide in a plasma, this present paper studies the effect of polarization and more specifically the ...