Measuring the phase of the scattering amplitude with vortex beams
arXiv:1201.5040 · doi:10.1103/PhysRevD.85.076001
Abstract
We show that colliding vortex beams instead of (approximate) plane waves can lead to a direct measurement of how the overall phase of the plane wave scattering amplitude changes with the scattering angle. Since vortex beams are coherent superpositions of plane waves with different momenta, their scattering amplitude receives contributions from plane wave amplitudes with distinct kinematics. These contributions interfere, leading to the measurement of their phase difference. Although interference exists for any generic wave packet collision, we show that using vortex beams dramatically enhances sensitivity to the phase in comparison with non-vortex beams. Since the overall phase is inaccessible in a plane wave collision, this measurement would be of great importance for a number of topics in hadronic physics, for example, meson production in the resonance region, physics of nucleon resonances, and small angle elastic hadron scattering.
18 pages, 5 figures; v2: introduction rewritten and expanded, matches the published version
References in corpus (13)
- Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices
- Relativistic Electron Vortex Beams: Angular Momentum and Spin-Orbit Interaction
- Generation of High-Energy Photons with Large Orbital Angular Momentum by Compton Backscattering
- Compton Upconversion of Twisted Photons: Backscattering of Particles with Non-Planar Wave Functions
- Atomic scale electron vortices for nanoresearch
- Colliding particles carrying non-zero orbital angular momentum
- Determining pseudoscalar meson photo-production amplitudes from complete experiments
- Scattering of twisted particles: extension to wave packets and orbital helicity
- Creation of two vortex-entangled beams in a vortex beam collision with a plane wave
- How precisely will the total cross section be measured at the LHC?
- Elastic and scattering in the models of unitarized pomeron
- 13th International Conference on Elastic and Diffractive Scattering (Blois Workshop) - Moving Forward into the LHC Era
- High-energy physics with particles carrying non-zero orbital angular momentum
Cited by in corpus (32)
- Theory and applications of free-electron vortex states
- Probing the symmetry of the potential of localized surface plasmon resonances with phase-shaped electron beams
- Light Baryon Spectroscopy
- Inelastic electron-vortex-beam scattering
- Compton scattering of twisted light: angular distribution and polarization of scattered photons
- Elastic scattering of vortex electrons provides direct access to the Coulomb phase
- Scattering of wave packets with phases
- The complete experiment for photoproduction of pseudoscalar mesons in a truncated partial wave analysis
- Relativistic quantum dynamics of twisted electron beams in arbitrary electric and magnetic fields
- Doing spin physics with unpolarized particles
- Effects of the transverse coherence length in relativistic collisions
- Nonuniform currents and spins of relativistic electron vortices in a magnetic field
- Kinematic surprises in twisted particle collisions
- Electric quadrupole moment and the tensor magnetic polarizability of twisted electrons and a potential for their measurements
- Gaussian and Airy wave packets of massive particles with orbital angular momentum
- Generation of vortex particles via generalized measurements
- Quantum mechanical formulation of the Busch theorem
- Generation of electron vortex states in ionization by intense and short laser pulses
- Decay of the vortex muon
- A Stern-Gerlach-like approach to electron orbital angular momentum measurement
- Probing phase of a scattering amplitude beyond the plane-wave approximation
- Double-slit experiment in momentum space
- Threshold effects in high-energy vortex state collisions
- Fractional Angular Momenta, Gouy and Berry phases in Relativistic Bateman-Hillion-Gaussian Beams of Electrons
- Radiative spin polarization in an ultrastrong magnetic field
- Fate of the Landau-Yang theorem for twisted photons
- Transfer of spin to orbital angular momentum in the Bethe-Heitler process
- Universal Analytic Solution for the Quantum Transport of Structured Matter-Waves in Magnetic Optics
- Angular momentum dynamics of vortex particles in accelerators
- Universal features of high-energy scattering of Laguerre-Gaussian states
- New graphical criterion for the selection of complete sets of polarization observables and its application to single-meson photoproduction as well as electroproduction
- Vortex particles in axially symmetric fields and applications of the quantum Busch theorem