Cherenkov Radiation from $e^{+}{e}^{-}$ Pairs and Its Effect on ${\nu }_e$ Induced Showers

Abstract

We calculate the Cherenkov radiation from an $e^{+}{e}^{-}$ pair at small separations, as occurs shortly after a pair conversion. The radiation is reduced (compared to that from two independent particles) when the pair separation is smaller than the wavelength of the emitted light. We estimate the reduction in light in large electromagnetic showers, and discuss the implications for detectors that observe Cherenkov radiation from showers in the Earth's atmosphere, as well as in oceans and Antarctic ice.

Final version, with minor changes, to appear in PRD. 5 pages with 4 figures

References in corpus (7)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Suppression of Bremsstrahlung and Pair Production due to Environmental Factors
• The LPM effect for EeV hadronic showers in ice: implications for radio detection of neutrinos
• Search for Neutrino-Induced Cascades with AMANDA
• Addendum to "Coherent radio pulses from GEANT generated electromagnetic showers in ice"
• Comparative study of simulations of Cerenkov radio emission from high energy showers in dense media
• Role of Group and Phase Velocity in High-Energy Neutrino Observatories

Cited by in corpus (2)

• RICE Limits on the Diffuse Ultra-High Energy Neutrino Flux
• Updated Results from the RICE Experiment and Future Prospects for Ultra-High Energy Neutrino Detection at the South Pole