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Erratum to: Search for PeVatrons at the Galactic Center using a radio air-shower array at the South Pole

  • A. Balagopal V.Email author
  • A. Haungs
  • T. Huege
  • F. G. Schröder
Open Access
Erratum
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1 Erratum to: Eur. Phys. J. C (2018) 78:111  https://doi.org/10.1140/epjc/s10052-018-5537-2

The original article contains typographic errors in the Appendix B, which deals with the process of generating a noise trace. The results presented in the article are unaffected as they were derived with the correct versions of these equations.

The correction concerns a missing square root in Eqs. (7) and (9). The corrected equations are given here. The electric field developed on the antenna arm is given by
$$\begin{aligned} \begin{aligned} |\overrightarrow{E}|=\,&\sqrt{S_{\mathrm {rec}}2Z_0} \quad [ \text {V/m}]\\ =\,&\sqrt{\frac{1}{2}2Z_0\frac{2k_\mathrm {B}\nu ^2 \delta \nu }{c^2} \int T(\theta , \phi ) \; \mathrm {d}\varOmega }. \end{aligned} \end{aligned}$$
(7)
The resulting voltage (Eq. (9) in the original article) can then be then re-written as
$$\begin{aligned} V(\nu ) = \sqrt{2Z_0\frac{k_\mathrm {B} \nu ^2 \delta \nu }{c^2} \int T(\theta ,\phi )\; |\overrightarrow{l_{\mathrm {eff}}}(\theta , \phi )|^2 \; \mathrm {d}\varOmega }. \end{aligned}$$
(9)

Copyright information

© The Author(s) 2018

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Funded by SCOAP3.

Authors and Affiliations

  1. 1.Institut für Experimentelle Teilchenphysik, Karlsruhe Institute of Technology (KIT)KarlsruheGermany
  2. 2.Institut für Kernphysik, Karlsruhe Institute of Technology (KIT)KarlsruheGermany

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