Rutherford Scattering with Radiation Damping
نویسنده
چکیده
We study the effect of radiation damping on the classical scattering of charged particles. Using a perturbation method based on the Runge-Lenz vector, we calculate radiative corrections to the Rutherford cross section, and the corresponding energy and angular momentum losses.
منابع مشابه
Rutherford Scattering with Retardation
Numerical solutions for Sommerfeld model in nonrelativistic case are presented for the scattering of a spinless extended charged body in a static Coulomb field of a fixed point charge. It is shown that differential cross section for extended body preserves the form of the Rutherford result with multiplier, not equal to one (as in classical case), but depending on the size of Sommerfeld particle...
متن کاملThe Effect of Damping on Radiative Corrections to Electron Scattering and the Problem of Infra-red Catastrophe
The· reaction of radiation on the scattering of electrons with radiative corrections is treated on the basis of covariant theory of radiation damping. It is shown that the ultra-violet divergences are removed by the process of usual mass. and charge renormalisations; and the infra-red divergence, which still persists in the second order corrections to radiationless electron scattering is exactl...
متن کامل22.51 Quantum Theory of Radiation Interactions, 2011 Final
100 years ago, in 1911, Rutherford explained the observed surprising behavior of alpha particles scattering from a gold foil, leading to the discovery of the nucleus. In this problem we want to derive from quantum-mechanics scattering theory the expression for Rutherford cross-section for electrons. The system is described by an electron and a nucleus, for convenience enclosed in a cavity of vo...
متن کاملDark-field microscopy studies of single metal nanoparticles: understanding the factors that influence the linewidth of the localized surface plasmon resonance.
This article provides a review of our recent Rayleigh scattering measurements on single metal nanoparticles. Two different systems will be discussed in detail: gold nanorods with lengths between 30 and 80 nm, and widths between 8 and 30 nm; and hollow gold-silver nanocubes (termed nanoboxes or nanocages depending on their exact morphology) with edge lengths between 100 and 160 nm, and wall thic...
متن کاملDrastic reduction of plasmon damping in gold nanorods.
The dephasing of particle plasmons is investigated using light-scattering spectroscopy on individual gold nanoparticles. We find a drastic reduction of the plasmon dephasing rate in nanorods as compared to small nanospheres due to a suppression of interband damping. The rods studied here also show very little radiation damping, due to their small volumes. These findings imply large local-field ...
متن کامل