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Self-modulation instability of a long proton bunch in plasmas

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arxiv 1003.5816 v1 pith:XPQYNWKW submitted 2010-03-30 physics.plasm-ph

classification physics.plasm-ph
keywords bunchself-modulationinstabilityprotonplasmaanalyticallongplasmas
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An analytical model for the self-modulation instability of a long relativistic proton bunch propagating in uniform plasmas is developed. The self-modulated proton bunch resonantly excites a large amplitude plasma wave (wake field), which can be used for acceleration of plasma electrons. Analytical expressions for the linear growth rate and the number of exponentiations are given. We use the full three-dimensional particle-in-cell (PIC) simulations to study the beam self-modulation and the transition to the nonlinear stage. It is shown that the self-modulation of the proton bunch competes with the hosing instability which tends to destroy the plasma wave. A method is proposed and studied through PIC simulations to circumvent this problem which relies on the seeding of the self-modulation instability in the bunch.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Numerical simulations of electron acceleration driven by heavy ion beams in plasma with alternating density gradients

    physics.acc-ph 2025-07 conditional novelty 5.0 of 10

    An alternating density gradient profile keeps the witness electron bunch in the accelerating phase of a heavy-ion-driven plasma wakefield, reaching about 1.2 GeV over one meter in simulation.

  2. An electron injector for the Electron-Ion Collider based on proton-driven plasma wakefield acceleration

    physics.acc-ph 2026-05 unverdicted novelty 4.0 of 10

    Proton-driven plasma wakefield acceleration can serve as an electron injector for the EIC, reaching 70% polarization and 10^34 cm^{-2}s^{-1} luminosity.

  3. Numerical investigations of heavy ion driven plasma wakefield acceleration

    physics.acc-ph 2025-06 conditional novelty 4.0 of 10

    Heavy-ion beams, especially a 0.1 mm bismuth bunch at HIAF-like parameters, can excite multi-GV/m plasma wakefields and accelerate electrons to hundreds of MeV in meter-scale plasmas, according to LCODE simulations.

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