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Aharonian F, Benkhali FA, Aschersleben J, Ashkar H, Backes M, Martins VB, Batzofin R, Becherini Y, Berge D, Bernlöhr K, Bi B, Böttcher M, Boisson C, Bolmont J, de Lavergne MDB, Borowska J, Bouyahiaoui M, Brose R, Brown A, Brun F, Bruno B, Bulik T, Burger-Scheidlin C, Bylund T, Casanova S, Celic J, Cerruti M, Chand T, Chandra S, Chen A, Chibueze J, Chibueze O, Collins T, Cotter G, Mbarubucyeye JD, Devin J, Djuvsland J, Dmytriiev A, Egberts K, Einecke S, Ernenwein JP, Fegan S, Feijen K, Fontaine G, Funk S, Gabici S, Gallant YA, Glicenstein JF, Glombitza J, Grolleron G, Heß B, Hofmann W, Holch TL, Holler M, Horns D, Huang Z, Jamrozy M, Jankowsky F, Joshi V, Jung-Richardt I, Kasai E, Katarzyński K, Kerszberg D, Khatoon R, Khélifi B, Kluźniak W, Komin N, Kosack K, Kostunin D, Kundu A, Lang RG, Le Stum S, Leitl F, Lemière A, Lemoine-Goumard M, Lenain JP, Leuschner F, Luashvili A, Mackey J, Malyshev D, Malyshev D, Marandon V, Marinos P, Martí-Devesa G, Marx R, Meyer M, Mitchell A, Moderski R, Moghadam MO, Mohrmann L, Montanari A, Moulin E, de Naurois M, Niemiec J, Ohm S, Olivera-Nieto L, Wilhelmi EDO, Ostrowski M, Panny S, Panter M, Parsons D, Pensec U, Peron G, Pühlhofer G, Punch M, Quirrenbach A, Ravikularaman S, Regeard M, Reimer A, Reimer O, Reis I, Ren H, Reville B, Rieger F, Rowell G, Rudak B, Ruiz-Velasco E, Sahakian V, Salzmann H, Santangelo A, Sasaki M, Schäfer J, Schüssler F, Schutte HM, Shapopi JNS, Sharma A, Sol H, Spencer S, Stawarz Ł, Steinmassl S, Steppa C, Suzuki H, Takahashi T, Tanaka T, Taylor AM, Terrier R, Tsirou M, van Eldik C, Vecchi M, Venter C, Vink J, Wach T, Wagner SJ, Wierzcholska A, Zacharias M, Zdziarski AA, Zech A, Żywucka N. High-Statistics Measurement of the Cosmic-Ray Electron Spectrum with H.E.S.S. PHYSICAL REVIEW LETTERS 2024; 133:221001. [PMID: 39672149 DOI: 10.1103/physrevlett.133.221001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/15/2024] [Accepted: 09/24/2024] [Indexed: 12/15/2024]
Abstract
Owing to their rapid cooling rate and hence loss-limited propagation distance, cosmic-ray electrons and positrons (CRe) at very high energies probe local cosmic-ray accelerators and provide constraints on exotic production mechanisms such as annihilation of dark matter particles. We present a high-statistics measurement of the spectrum of CRe candidate events from 0.3 to 40 TeV with the High Energy Stereoscopic System, covering 2 orders of magnitude in energy and reaching a proton rejection power of better than 10^{4}. The measured spectrum is well described by a broken power law, with a break around 1 TeV, where the spectral index increases from Γ_{1}=3.25±0.02(stat)±0.2(sys) to Γ_{2}=4.49±0.04(stat)±0.2(sys). Apart from the break, the spectrum is featureless. The absence of distinct signatures at multi-TeV energies imposes constraints on the presence of nearby CRe accelerators and the local CRe propagation mechanisms.
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Affiliation(s)
- F Aharonian
- Dublin Institute for Advanced Studies, 31 Fitzwilliam Place, Dublin 2, Ireland
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
- Yerevan State University, 1 Alek Manukyan Street, Yerevan 0025, Armenia
| | - F Ait Benkhali
- Landessternwarte, Universität Heidelberg, Königstuhl, D 69117 Heidelberg, Germany
| | - J Aschersleben
- Kapteyn Astronomical Institute, University of Groningen, Landleven 12, 9747 AD Groningen, The Netherlands
| | - H Ashkar
- Laboratoire Leprince-Ringuet, École Polytechnique, CNRS, Institut Polytechnique de Paris, F-91128 Palaiseau, France
| | - M Backes
- University of Namibia, Department of Physics, Private Bag 13301, Windhoek 10005, Namibia
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | - V Barbosa Martins
- Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany
| | | | - Y Becherini
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
- Department of Physics and Electrical Engineering, Linnaeus University, 351 95 Växjö, Sweden
| | - D Berge
- Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany
- Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, D 12489 Berlin, Germany
| | - K Bernlöhr
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - B Bi
- Institut für Astronomie und Astrophysik, Universität Tübingen, Sand 1, D 72076 Tübingen, Germany
| | - M Böttcher
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | - C Boisson
- Laboratoire Univers et Théories, Observatoire de Paris, Université PSL, CNRS, Université Paris Cité, 5 place Jules Janssen, 92190 Meudon, France
| | - J Bolmont
- Sorbonne Université, CNRS/IN2P3, Laboratoire de Physique Nucléaire et de Hautes Energies, LPNHE, 4 place Jussieu, 75005 Paris, France
| | | | - J Borowska
- Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, D 12489 Berlin, Germany
| | - M Bouyahiaoui
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - R Brose
- Dublin Institute for Advanced Studies, 31 Fitzwilliam Place, Dublin 2, Ireland
| | - A Brown
- Department of Physics, University of Oxford, Denys Wilkinson Building, Keble Road, Oxford OX1 3RH, United Kingdom
| | - F Brun
- IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - B Bruno
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - T Bulik
- Astronomical Observatory, The University of Warsaw, Aleje Ujazdowskie 4, 00-478 Warsaw, Poland
| | - C Burger-Scheidlin
- Dublin Institute for Advanced Studies, 31 Fitzwilliam Place, Dublin 2, Ireland
| | - T Bylund
- IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - S Casanova
- Instytut Fizyki Jądrowej PAN, ulica Radzikowskiego 152, 31-342 Kraków, Poland
| | - J Celic
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - M Cerruti
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - T Chand
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | - S Chandra
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | - A Chen
- School of Physics, University of the Witwatersrand, 1 Jan Smuts Avenue, Braamfontein, Johannesburg 2050, South Africa
| | - J Chibueze
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | - O Chibueze
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | | | - G Cotter
- Department of Physics, University of Oxford, Denys Wilkinson Building, Keble Road, Oxford OX1 3RH, United Kingdom
| | | | - J Devin
- Laboratoire Univers et Particules de Montpellier, Université Montpellier, CNRS/IN2P3, CC 72, Place Eugène Bataillon, F-34095 Montpellier Cedex 5, France
| | - J Djuvsland
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - A Dmytriiev
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | | | - S Einecke
- School of Physical Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia
| | - J-P Ernenwein
- Aix Marseille Université, CNRS/IN2P3, CPPM, Marseille, France
| | - S Fegan
- Laboratoire Leprince-Ringuet, École Polytechnique, CNRS, Institut Polytechnique de Paris, F-91128 Palaiseau, France
| | - K Feijen
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - G Fontaine
- Laboratoire Leprince-Ringuet, École Polytechnique, CNRS, Institut Polytechnique de Paris, F-91128 Palaiseau, France
| | - S Funk
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - S Gabici
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - Y A Gallant
- Laboratoire Univers et Particules de Montpellier, Université Montpellier, CNRS/IN2P3, CC 72, Place Eugène Bataillon, F-34095 Montpellier Cedex 5, France
| | - J F Glicenstein
- IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - J Glombitza
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - G Grolleron
- Sorbonne Université, CNRS/IN2P3, Laboratoire de Physique Nucléaire et de Hautes Energies, LPNHE, 4 place Jussieu, 75005 Paris, France
| | - B Heß
- Institut für Astronomie und Astrophysik, Universität Tübingen, Sand 1, D 72076 Tübingen, Germany
| | - W Hofmann
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - T L Holch
- Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany
| | - M Holler
- Universität Innsbruck, Institut für Astro- und Teilchenphysik, Technikerstraße 25, 6020 Innsbruck, Austria
| | - D Horns
- Institut für Experimentalphysik, Universität Hamburg, Luruper Chaussee 149, D 22761 Hamburg, Germany
| | - Zhiqiu Huang
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - M Jamrozy
- Obserwatorium Astronomiczne, Uniwersytet Jagielloński, ulica Orla 171, 30-244 Kraków, Poland
| | - F Jankowsky
- Landessternwarte, Universität Heidelberg, Königstuhl, D 69117 Heidelberg, Germany
| | - V Joshi
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - I Jung-Richardt
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - E Kasai
- University of Namibia, Department of Physics, Private Bag 13301, Windhoek 10005, Namibia
| | - K Katarzyński
- Institute of Astronomy, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Torun, Poland
| | - D Kerszberg
- Sorbonne Université, CNRS/IN2P3, Laboratoire de Physique Nucléaire et de Hautes Energies, LPNHE, 4 place Jussieu, 75005 Paris, France
| | - R Khatoon
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | - B Khélifi
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - W Kluźniak
- Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences, ulica Bartycka 18, 00-716 Warsaw, Poland
| | - Nu Komin
- School of Physics, University of the Witwatersrand, 1 Jan Smuts Avenue, Braamfontein, Johannesburg 2050, South Africa
| | - K Kosack
- IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - D Kostunin
- Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany
| | - A Kundu
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | - R G Lang
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - S Le Stum
- Aix Marseille Université, CNRS/IN2P3, CPPM, Marseille, France
| | - F Leitl
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - A Lemière
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - M Lemoine-Goumard
- Université Bordeaux, CNRS, LP2I Bordeaux, UMR 5797, F-33170 Gradignan, France
| | - J-P Lenain
- Sorbonne Université, CNRS/IN2P3, Laboratoire de Physique Nucléaire et de Hautes Energies, LPNHE, 4 place Jussieu, 75005 Paris, France
| | - F Leuschner
- Institut für Astronomie und Astrophysik, Universität Tübingen, Sand 1, D 72076 Tübingen, Germany
| | - A Luashvili
- Laboratoire Univers et Théories, Observatoire de Paris, Université PSL, CNRS, Université Paris Cité, 5 place Jules Janssen, 92190 Meudon, France
| | - J Mackey
- Dublin Institute for Advanced Studies, 31 Fitzwilliam Place, Dublin 2, Ireland
| | - D Malyshev
- Institut für Astronomie und Astrophysik, Universität Tübingen, Sand 1, D 72076 Tübingen, Germany
| | - D Malyshev
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - V Marandon
- IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - P Marinos
- School of Physical Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia
| | - G Martí-Devesa
- Universität Innsbruck, Institut für Astro- und Teilchenphysik, Technikerstraße 25, 6020 Innsbruck, Austria
| | - R Marx
- Landessternwarte, Universität Heidelberg, Königstuhl, D 69117 Heidelberg, Germany
| | - M Meyer
- University of Southern Denmark, 5230 Odense, Denmark
| | - A Mitchell
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - R Moderski
- Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences, ulica Bartycka 18, 00-716 Warsaw, Poland
| | | | - L Mohrmann
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - A Montanari
- Landessternwarte, Universität Heidelberg, Königstuhl, D 69117 Heidelberg, Germany
| | - E Moulin
- IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - M de Naurois
- Laboratoire Leprince-Ringuet, École Polytechnique, CNRS, Institut Polytechnique de Paris, F-91128 Palaiseau, France
| | - J Niemiec
- Instytut Fizyki Jądrowej PAN, ulica Radzikowskiego 152, 31-342 Kraków, Poland
| | - S Ohm
- Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany
| | - L Olivera-Nieto
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - E de Ona Wilhelmi
- Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany
| | - M Ostrowski
- Obserwatorium Astronomiczne, Uniwersytet Jagielloński, ulica Orla 171, 30-244 Kraków, Poland
| | - S Panny
- Universität Innsbruck, Institut für Astro- und Teilchenphysik, Technikerstraße 25, 6020 Innsbruck, Austria
| | - M Panter
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - D Parsons
- Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, D 12489 Berlin, Germany
| | - U Pensec
- Sorbonne Université, CNRS/IN2P3, Laboratoire de Physique Nucléaire et de Hautes Energies, LPNHE, 4 place Jussieu, 75005 Paris, France
| | - G Peron
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - G Pühlhofer
- Institut für Astronomie und Astrophysik, Universität Tübingen, Sand 1, D 72076 Tübingen, Germany
| | - M Punch
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - A Quirrenbach
- Landessternwarte, Universität Heidelberg, Königstuhl, D 69117 Heidelberg, Germany
| | - S Ravikularaman
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - M Regeard
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - A Reimer
- Universität Innsbruck, Institut für Astro- und Teilchenphysik, Technikerstraße 25, 6020 Innsbruck, Austria
| | - O Reimer
- Universität Innsbruck, Institut für Astro- und Teilchenphysik, Technikerstraße 25, 6020 Innsbruck, Austria
| | - I Reis
- IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - H Ren
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - B Reville
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - F Rieger
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - G Rowell
- School of Physical Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia
| | - B Rudak
- Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences, ulica Bartycka 18, 00-716 Warsaw, Poland
| | - E Ruiz-Velasco
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | - V Sahakian
- Yerevan Physics Institute, 2 Alikhanian Brothers Street, 0036 Yerevan, Armenia
| | - H Salzmann
- Institut für Astronomie und Astrophysik, Universität Tübingen, Sand 1, D 72076 Tübingen, Germany
| | - A Santangelo
- Institut für Astronomie und Astrophysik, Universität Tübingen, Sand 1, D 72076 Tübingen, Germany
| | - M Sasaki
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - J Schäfer
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - F Schüssler
- IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - H M Schutte
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | - J N S Shapopi
- University of Namibia, Department of Physics, Private Bag 13301, Windhoek 10005, Namibia
| | - A Sharma
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - H Sol
- Laboratoire Univers et Théories, Observatoire de Paris, Université PSL, CNRS, Université Paris Cité, 5 place Jules Janssen, 92190 Meudon, France
| | - S Spencer
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - Ł Stawarz
- Obserwatorium Astronomiczne, Uniwersytet Jagielloński, ulica Orla 171, 30-244 Kraków, Poland
| | - S Steinmassl
- Max-Planck-Institut für Kernphysik, P.O. Box 103980, D 69029 Heidelberg, Germany
| | | | - H Suzuki
- Department of Physics, Konan University, 8-9-1 Okamoto, Higashinada, Kobe, Hyogo 658-8501, Japan
| | - T Takahashi
- Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study (UTIAS), The University of Tokyo, 5-1-5 Kashiwa-no-Ha, Kashiwa, Chiba 277-8583, Japan
| | - T Tanaka
- Department of Physics, Konan University, 8-9-1 Okamoto, Higashinada, Kobe, Hyogo 658-8501, Japan
| | - A M Taylor
- Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany
| | - R Terrier
- Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
| | - M Tsirou
- Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany
| | - C van Eldik
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - M Vecchi
- Kapteyn Astronomical Institute, University of Groningen, Landleven 12, 9747 AD Groningen, The Netherlands
| | - C Venter
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | - J Vink
- GRAPPA, Anton Pannekoek Institute for Astronomy, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
| | - T Wach
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Nikolaus-Fiebiger-Strasse 2, 91058 Erlangen, Germany
| | - S J Wagner
- Landessternwarte, Universität Heidelberg, Königstuhl, D 69117 Heidelberg, Germany
| | - A Wierzcholska
- Instytut Fizyki Jądrowej PAN, ulica Radzikowskiego 152, 31-342 Kraków, Poland
| | - M Zacharias
- Landessternwarte, Universität Heidelberg, Königstuhl, D 69117 Heidelberg, Germany
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
| | - A A Zdziarski
- Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences, ulica Bartycka 18, 00-716 Warsaw, Poland
| | - A Zech
- Laboratoire Univers et Théories, Observatoire de Paris, Université PSL, CNRS, Université Paris Cité, 5 place Jules Janssen, 92190 Meudon, France
| | - N Żywucka
- Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
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