EFFECTS OF ELECTROMAGNETIC INTERACTION BETWEEN PARTICLES AND COLLIDING BUNCH.
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The suggestion of using passive resonant structures to accelerate intense beams of charged particles (self-acceleration) was previously made. An analysis is given, based on this principle, of the feasibility of phase-focusing dense electron bunches in storage rings.
Bunches
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metres in the high beta IRs, which are assumed for convenience to be pure drifts. Bunches in one beam are longitudinally separated from each other by S{sub B} = 4.8 metres. In one variant of the model the transverse beam separation is vertical in all cases, while in a second variant alternate crossings are vertical and horizontal. In both of these cases the horizontal and vertical tune shifts of a test particle in a nominal bunch, and in a PACMAN bunch, are calculated and plotted as a function of its transverse amplitudes, (a{sub x}, a{sub Y}), which are conveniently measured in units of {sigma}, the rms size of the incident gaussian beam. Similar results to these have also been reported elsewhere.
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Parity (physics)
Beam energy
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When the beams cross each other in the intersecton region of a storage ring, two distinct effects occur. A particle of one beam may undergo a fundamental interaction with a particle of the other beam. The average number of such events is equal to the product of the machine luminosity and the particle-particle total cross section. It is, of course, these particle interactions which the experimental physicist studies. In contrast to what happens for these fundamental interactions, a particle of one beam passing through the interaction region will always be influenced by the electric and magnetic fields produced by the entire other beam. Clearly, this classical electromagnetic interaction between the two beams will perturb the motion of the particles circulating in the machine. It is the purpose of this paper to present the basic aspects of this beam-particle force. The effect of this electrical force is quite different in the case of continuous (unbunched) proton beams which cross each other at the angle (as in the ISR at CERN and in ISABELLE at Brookhaven), as compared to the case of electron-positron bunches which collide head on (as in the SPEAR II Ring and in PETRA and PEP).
Bunches
Particle (ecology)
Particle beam
Accelerator physics
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Ring current
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Developing the idea of fast particle mixing due to a strong nonlinearity of the beam--beam interaction, the distribution function of the weak bunch in the phase space of vertical motion is found. The features of this distribution are discussed and compared to the Gaussian one.
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The limitations on the intensity of colliding beams due to the development of plasma instabilities during the collision time are examined for a storage ring and a colliding linacs configuration. It is found that this effect can limit the luminosity for colliding linacs but not for storage rings.
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