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By using an array of prototype underground muon detectors, we have performed the first direct measurement, by the Auger Collaboration, of the muon content of air showers between<jats:inline-formula><jats:alternatives><jats:tex-math>$$2\\times 10^{17}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mn>2<\/mml:mn><mml:mo>\u00d7<\/mml:mo><mml:msup><mml:mn>10<\/mml:mn><mml:mn>17<\/mml:mn><\/mml:msup><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>and<jats:inline-formula><jats:alternatives><jats:tex-math>$$2\\times 10^{18}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mn>2<\/mml:mn><mml:mo>\u00d7<\/mml:mo><mml:msup><mml:mn>10<\/mml:mn><mml:mn>18<\/mml:mn><\/mml:msup><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>eV. We have studied the energy evolution of the attenuation-corrected muon density, and compared it to predictions from air shower simulations. The observed densities are found to be larger than those predicted by models. We quantify this discrepancy by combining the measurements from the muon detector with those from the Auger fluorescence detector at<jats:inline-formula><jats:alternatives><jats:tex-math>$$10^{{17.5}}\\, {\\mathrm{eV}} $$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:msup><mml:mn>10<\/mml:mn><mml:mrow><mml:mn>17.5<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mspace\/><mml:mi>eV<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>and<jats:inline-formula><jats:alternatives><jats:tex-math>$$10^{{18}}\\, {\\mathrm{eV}} $$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:msup><mml:mn>10<\/mml:mn><mml:mn>18<\/mml:mn><\/mml:msup><mml:mspace\/><mml:mi>eV<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>. We find that, for the models to explain the data, an increase in the muon density of<jats:inline-formula><jats:alternatives><jats:tex-math>$$38\\%$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mn>38<\/mml:mn><mml:mo>%<\/mml:mo><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula><jats:inline-formula><jats:alternatives><jats:tex-math>$$\\pm 4\\% (12\\%)$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mo>\u00b1<\/mml:mo><mml:mn>4<\/mml:mn><mml:mo>%<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>12<\/mml:mn><mml:mo>%<\/mml:mo><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula><jats:inline-formula><jats:alternatives><jats:tex-math>$$\\pm {}^{21\\%}_{18\\%}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mo>\u00b1<\/mml:mo><mml:msubsup><mml:mrow\/><mml:mrow><mml:mn>18<\/mml:mn><mml:mo>%<\/mml:mo><\/mml:mrow><mml:mrow><mml:mn>21<\/mml:mn><mml:mo>%<\/mml:mo><\/mml:mrow><\/mml:msubsup><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>for<jats:sc>EPOS-LHC<\/jats:sc>, and of<jats:inline-formula><jats:alternatives><jats:tex-math>$$50\\% (53\\%)$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mn>50<\/mml:mn><mml:mo>%<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>53<\/mml:mn><mml:mo>%<\/mml:mo><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula><jats:inline-formula><jats:alternatives><jats:tex-math>$$\\pm 4\\% (13\\%)$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mo>\u00b1<\/mml:mo><mml:mn>4<\/mml:mn><mml:mo>%<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>13<\/mml:mn><mml:mo>%<\/mml:mo><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula><jats:inline-formula><jats:alternatives><jats:tex-math>$$\\pm {}^{23\\%}_{20\\%}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mo>\u00b1<\/mml:mo><mml:msubsup><mml:mrow\/><mml:mrow><mml:mn>20<\/mml:mn><mml:mo>%<\/mml:mo><\/mml:mrow><mml:mrow><mml:mn>23<\/mml:mn><mml:mo>%<\/mml:mo><\/mml:mrow><\/mml:msubsup><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>for<jats:sc>QGSJetII-04<\/jats:sc>, is respectively needed.<\/jats:p>","DOI":"10.1140\/epjc\/s10052-020-8055-y","type":"journal-article","created":{"date-parts":[[2020,8,18]],"date-time":"2020-08-18T13:05:30Z","timestamp":1597755930000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":52,"title":["Direct measurement of the muonic content of extensive air showers between $$\\mathbf { 2\\times 10^{17}}$$ and $$\\mathbf {2\\times 10^{18}}~$$eV at the Pierre Auger Observatory"],"prefix":"10.1140","volume":"80","author":[{"given":"A.","family":"Aab","sequence":"first","affiliation":[]},{"given":"P.","family":"Abreu","sequence":"additional","affiliation":[]},{"given":"M.","family":"Aglietta","sequence":"additional","affiliation":[]},{"given":"J. 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