Measurement of the Inelastic Proton-Proton Cross Section at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>13</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>TeV</mml:mi></mml:math> with the ATLAS Detector at the LHC

This Letter presents a measurement of the inelastic proton-proton cross section using $60\text{ }\text{ }{\ensuremath{\mu}\mathrm{b}}^{\ensuremath{-}1}$ of $pp$ collisions at a center-of-mass energy $\sqrt{s}$ of 13 TeV with the ATLAS detector at the LHC. Inelastic interactions are selected using rings of plastic scintillators in the forward region ($2.07&lt;|\ensuremath{\eta}|&lt;3.86$) of the detector. A cross section of $68.1\ifmmode\pm\else\textpm\fi{}1.4\text{ }\text{ }\mathrm{mb}$ is measured in the fiducial region $\ensuremath{\xi}={M}_{X}^{2}/s&gt;{10}^{\ensuremath{-}6}$, where ${M}_{X}$ is the larger invariant mass of the two hadronic systems separated by the largest rapidity gap in the event. In this $\ensuremath{\xi}$ range the scintillators are highly efficient. For diffractive events this corresponds to cases where at least one proton dissociates to a system with ${M}_{X}&gt;13\text{ }\text{ }\mathrm{GeV}$. The measured cross section is compared with a range of theoretical predictions. When extrapolated to the full phase space, a cross section of $78.1\ifmmode\pm\else\textpm\fi{}2.9\text{ }\text{ }\mathrm{mb}$ is measured, consistent with the inelastic cross section increasing with center-of-mass energy.

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