TITLE

# Relaxation of intense inhomogeneous charged beams

AUTHOR(S)
Nunes, R. P.; Pakter, R.; Rizzato, F. B.; Endler, A.; Souza, E. G.
PUB. DATE
March 2009
SOURCE
Physics of Plasmas;Mar2009, Vol. 16 Issue 3, p033107
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
This work analyzes the dynamics of inhomogeneous, magnetically focused high intensity beams of charged particles. Initial inhomogeneities lead to density waves propagating transversely in the beam core, and the presence of transverse waves eventually results in particle scattering. Particle scattering off waves in the beam core ultimately generates a halo of particles with concomitant emittance growth. Emittance growth indicates a beam relaxing to its final stationary state, and the purpose of the present paper is to describe halo and emittance in terms of test particles moving under the action of the inhomogeneous beam. To this end an average Lagrangian approach for the beam is developed. This approach, aided by the use of conserved quantities, produces results in nice agreement with those obtained with full N-particle numerical simulations.
ACCESSION #
37258865

## Related Articles

• The ÏƒK coupling in the chiral unitary approach and the isoscalar Â¯N , Â¯A interaction. Torres, A. Martínez; Khemchandani, K. P.; Oset, E. // European Physical Journal A -- Hadrons & Nuclei;May2008, Vol. 36 Issue 2, p211

We evaluate the â€œÏƒ " exchange contribution to the Â¯ N â†’ Â¯ N scattering within a chiral unitary approach. We show that the chiral transition potentials for Ï€Ï€ â†’ KÂ¯ in the t -channel lead to a â€œÏƒ " contribution that vanishes in the Â¯ forward...

• f0(980)-meson as a $$\bar K$$ molecule in a phenomenological Lagrangian approach. Branz, T.; Gutsche, T.; Lyubovitskij, V. // European Physical Journal A -- Hadrons & Nuclei;Sep2008, Vol. 37 Issue 3, p303

We discuss a possible interpretation of the f 0(980)-meson as a hadronic molecule â€”a bound state of K and $$\bar K$$ mesons. Using a phenomenological Lagrangian approach we calculate the strong f 0(980) â†’ Ï€Ï€ and electromagnetic f 0(980) â†’ Î³Î³ decays. The...

• A Lagrangian Stochastic Model for the concentration fluctuations. Mortarini, L.; Ferrero, E. // Atmospheric Chemistry & Physics Discussions;2005, Vol. 5 Issue 3, p3621

A Lagrangian Stochastic Model for the two-particles dispersion, aiming at simulating the pollutant concentration fluctuations, is presented. Three model versions (1-D, 2-D and 3-D) are tested. Firstly the ability of the model to reproduce the two-particle statistics in a homogeneous isotropic...

• Scalar-Pseudoscalar scattering and pseudoscalar resonances. Albaladejo, M.; Oller, J. A.; Roca, L. // AIP Conference Proceedings;5/23/2011, Vol. 1343 Issue 1, p299

The interactions between the f0(980) and a0(980) scalar resonances and the lightest pseudoscalar mesons are studied. We first obtain the interacting kernels, without including any ad hoc free parameter, because the lightest scalar resonances are dynamically generated. These kernels are...

• Hadronic Decays of Î· and Î·â€². Borasoy, B.; Nißler, R. // AIP Conference Proceedings;2005, Vol. 796 Issue 1, p150

The hadronic decays Î·, Î·â€² â†’ 3Ï€ and Î·â€² â†’ Î·Ï€Ï€ are investigated within the framework of U(3) chiral effective field theory in combination with a relativistic coupled-channels approach. Final state interactions are included by deriving s- and p-wave...

• Î·â€²N scattering at low energies. Oset, E.; Ramos, A. // AIP Conference Proceedings;4/16/2012, Vol. 1432 Issue 1, p367

We calculate the Î·â€² amplitude at low energies considering chiral Lagrangians and Î· Î·â€² mixing, the coupling of Î·â€²N to the victor-baryon channels and one Lagrangian allowed for singlet meson-baryon interaction. We obtain cross sections for elastic Î·â€²...

• Lagrangian motion of fluid particles induced by three-dimensional standing surface waves. Umeki, Makoto // Physics of Fluids A;Sep92, Vol. 4 Issue 9, p1968

Lagrangian motion of fluid particles on three-dimensional weakly nonlinear standing surface waves is studied by inviscid irrotational theory. The three-dimensional flow inside the fluid in a square cylinder is derived when two internally resonant modes (m,n) and (n,m) are excited. Using the...

• Derivation of the Kinetic Equation for the Density Matrix of Two-Level Particles by the Greenâ€™s Function Method. Titov, E.A. // Optics & Spectroscopy;Jun2004, Vol. 96 Issue 6, p869

On the basis of the Greenâ€™s function method for nonequilibrium systems, the kinetic equation for the density matrix of two-level particles used in laser spectroscopy is derived. The assumptions made in deriving the kinetic equation impose certain restrictions on this equation. In the...

• Internal Waves in a Lagrangian Reference Frame. Broutman, Dave; Grimshaw, Roger H. J.; Eckermann, Stephen D. // Journal of the Atmospheric Sciences;6/1/2004, Vol. 61 Issue 11, p1308

Several recent studies of internal gravity waves have been expressed in a Lagrangian reference frame, motivated by the observation that in this frame the dispersion relation then excludes the Eulerian Doppler shifting term due to a background flow. Here the dispersion relation in a Lagrangian...

Share