Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-08-26
Int.J.Mod.Phys.A26:748-750,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
3 pages, 2 figures, talk given at MESON2010 conference, Krakow, Poland, 10-15 June 2010
Scientific paper
10.1142/S0217751X11052724
We report on a detailed investigation of four-body $p p \to p p \pi^+ \pi^-$ and $p \bar{p} \to p \bar{p} \pi^+ \pi^-$) reactions which constitute an irreducible background to three-body processes $p p \to p p M$, where $M$ is a broad resonance in the $\pi^+ \pi^-$ channel, e.g. $M=\sigma, \rho^{0}, f_{0}(980), f_{2}(1275), f_{0}(1500)$. We include double-diffractive contribution (both pomeron and reggeon exchanges) as well as the pion-pion rescattering contributions. The first process dominates at higher energies and small pion-pion invariant masses while the second becomes important at lower energies and higher pion-pion invariant masses. We compare our results with the experimental data. We make predictions for future experiments at PANDA, RHIC, Tevatron and LHC energies. The two-dimensional distribution in rapidity space of pions $(y_{\pi^+}, y_{\pi^-})$ is particularly interesting. The higher the incident energy, the higher preference for the same-hemisphere emission of pions. The processes considered constitute a sizeable contribution to the total nucleon-nucleon cross section as well as to pion inclusive cross section.
Lebiedowicz Piotr
Szczurek Antoni
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