Exclusive $pp\to nn{\pi }^{+}{\pi }^{+}$ reaction at LHC and RHIC

Abstract

We evaluate differential distributions for the four-body $pp\to nn{\pi }^{+}{\pi }^{+}$ reaction. The amplitude for the process is calculated in the Regge approach including many diagrams. We make predictions for possible future experiments at RHIC and LHC energies. Very large cross sections are found which is partially due to interference of a few mechanisms. Presence of several interfering mechanisms precludes extraction of the elastic ${\pi }^{+}{\pi }^{+}$ scattering cross section. Absorption effects are estimated. Differential distributions in pseudorapidity, rapidity, invariant two-pion mass, transverse-momentum and energy distributions of neutrons are presented for proton-proton collisions at $\sqrt{s}$ = 500 GeV (RHIC) and $\sqrt{s}$ = 0.9, 2.36 and 7 TeV (LHC). Cross sections with experimental cuts are presented.

22 pages, 18 figures, calculations have been corrected, new processes added, discussion expanded in print in Phys. Rev.D

References in corpus (8)

• Exclusive photoproduction of $J/\psi$ in proton-proton and proton-antiproton scattering
• Phenomenological analysis of the double pion production in nucleon-nucleon collisions up to 2.2 GeV
• Exclusive scalar $f_0(1500)$ meson production for energy ranges available at the GSI Facility for Antiproton and Ion Research (GSI-FAIR) and at the Japan Proton Accelerator Research Complex (J-PARC)
• Theoretical study on pp --> p n pi+ reaction at medium energies
• Elastic ${\pi }^{+}p$ and ${\pi }^{+}{\pi }^{+}$ scattering at LHC
• Modeling pion and proton total cross-sections at LHC
• The Interplay between Data and Theory in Recent Unitarity Models
• Low-energy pion-pion scattering in the $pp\to pp{\pi }^{+}{\pi }^{-}$ and $p\bar{p}\to p\bar{p}{\pi }^{+}{\pi }^{-}$ reactions

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