Measurement of inelastic, single- and double-diffraction cross sections in proton-proton collisions at the LHC with ALICE

Abstract

Measurements of cross sections of inelastic and diffractive processes in proton--proton collisions at LHC energies were carried out with the ALICE detector. The fractions of diffractive processes in inelastic collisions were determined from a study of gaps in charged particle pseudorapidity distributions: for single diffraction (diffractive mass $M_X<200$ GeV/$c^2$) ${\sigma }_{\mathrm{SD}}/{\sigma }_{\mathrm{INEL}}=0.21\pm 0.03,0.20_{-0.08}^{+0.07}$, and $0.20_{-0.07}^{+0.04}$, respectively at centre-of-mass energies $\sqrt{s}=0.9,2.76$, and 7~TeV; for double diffraction (for a pseudorapidity gap $\Delta \eta >3$) ${\sigma }_{\mathrm{DD}}/{\sigma }_{\mathrm{INEL}}=0.11\pm 0.03,0.12\pm 0.05$, and $0.12_{-0.04}^{+0.05}$, respectively at $\sqrt{s}=0.9,2.76$, and 7~TeV. To measure the inelastic cross section, beam properties were determined with van der Meer scans, and, using a simulation of diffraction adjusted to data, the following values were obtained: ${\sigma }_{\mathrm{INEL}}=62.8_{-4.0}^{+2.4}(model)\pm 1.2(lumi)$ mb at $\sqrt{s}=$ 2.76~TeV and $73.2_{-4.6}^{+2.0}(model)\pm 2.6(lumi)$ mb at $\sqrt{s}$ = 7~TeV. The single- and double-diffractive cross sections were calculated combining relative rates of diffraction with inelastic cross sections. The results are compared to previous measurements at proton--antiproton and proton--proton colliders at lower energies, to measurements by other experiments at the LHC, and to theoretical models.

28 pages, 11 captioned figures, 8 tables, authors from page 23, figures at http://aliceinfo.cern.ch/ArtSubmission/node/2834

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