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

TL;DR

This paper reports precise measurements of inelastic and diffractive cross sections in proton-proton collisions at LHC energies using the ALICE detector, providing new data to compare with models and previous experiments.

Contribution

It presents the first detailed measurements of single- and double-diffraction cross sections at multiple LHC energies, improving understanding of diffraction in high-energy collisions.

Findings

Diffractive fractions are approximately 20% for single diffraction and 12% for double diffraction at 7 TeV.

Inelastic cross sections measured are about 73 mb at 7 TeV and 63 mb at 2.76 TeV.

Results are consistent with some models and previous measurements, refining the understanding of diffraction processes.

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/$c^2$) $\sigma_{\rm SD}/\sigma_{\rm INEL} = 0.21 \pm 0.03, 0.20^{+0.07}_{-0.08}$, and $0.20^{+0.04}_{-0.07}$, respectively at centre-of-mass energies $\sqrt{s} = 0.9, 2.76$, and 7~TeV; for double diffraction (for a pseudorapidity gap $\Delta\eta > 3$) $\sigma_{\rm DD}/\sigma_{\rm INEL} = 0.11 \pm 0.03, 0.12 \pm 0.05$, and $0.12^{+0.05}_{-0.04}$, 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: $\sigma_{\rm INEL} = 62.8^{+2.4}_{-4.0} (model) \pm 1.2 (lumi)$ mb at $\sqrt{s} =$ 2.76~TeV and $73.2^{+2.0}_{-4.6} (model) \pm 2.6 (lumi)$ 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.