Revision of absorption corrections for the $pp\to pp{\pi }^{+}{\pi }^{-}$ process

Abstract

We include new additional absorption corrections into the Lebiedowicz-Szczurek (non-resonant) model for $pp\to pp{\pi }^{+}{\pi }^{-}$ or $p\bar{p}\to p\bar{p}{\pi }^{+}{\pi }^{-}$ processes. They are related to the $\pi N$ nonperturbative interaction in the final state of the reaction. The role of the absorption corrections is quantified for several differential distributions for $\sqrt{s}$ = 0.2, 1.96, 7, and 8 TeV. The new absorption corrections lead to further decrease of the cross section by about a factor of two. They change the shape of some distributions ($d\sigma /dt$, $d\sigma /d{p}_{t,p}$, $d\sigma /d{\varphi }_{pp}$) but leave almost unchanged shape of other distributions ($d\sigma /d{M}_{\pi \pi }$, $d\sigma /d{y}_{\pi }$, $d\sigma /d{p}_{t,\pi }$, $d\sigma /d{\varphi }_{\pi \pi }$). The effect may have important impact on the interpretation of the recent STAR and CDF data as well as the forthcoming data of the ALICE, ATLAS + ALFA and CMS + TOTEM collaborations.

24 pages, 15 figures, 1 table, some figures were removed, a discussion concerning large dipion transverse momenta and ISR data was added

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• Measurement of the central exclusive production of charged particle pairs in proton-proton collisions at $\sqrt{s}=200$ GeV with the STAR detector at RHIC
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• Central exclusive diffractive production of axial-vector $f_1(1285)$ and $f_1(1420)$ mesons in proton-proton collisions
• Central production of ${\rho }^0$ in $pp$ collisions with single proton diffractive dissociation at the LHC
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• Extracting the pomeron-pomeron-$f_2(1270)$ coupling in the $pp\to pp{\pi }^{+}{\pi }^{-}$ reaction through angular distributions of the pions
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• Central exclusive diffractive production of two-pions from continuum and decays of resonances in the Regge-eikonal model
• Central exclusive diffractive $p$ $\bar{p}$ production in the Regge-eikonal model in the "scalar'' proton approximation
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