/ hep-ph arXiv:1706.00205

Antiproton-proton annihilation into charged light meson pairs within effective meson theory

Wang, Ying (Orsay, IPN) ; Bystritskiy, Yury M. (Dubna, JINR) ; Tomasi-Gustafsson, Egle (IRFU, Saclay)

Published in: Phys.Rev.
Year: 2017
Vol.: C95    Num./Issue: 4
Page No: 045202
Pages: 9
Year: 2017-04-07 published

Abstract: Antiproton--proton annihilation into light neutral mesons in the few GeV energy domain is investigated in view of a global description of the existing data and predictions for future experiments at PANDA, FAIR. An effective meson model earlier developed, with mesonic and baryonic degrees of freedom in $s$, $t$, and $u$ channels, is applied here to $\pi^0\pi^0$ production. Form factors with logarithmic $s$ and $t(u)$ dependencies are applied. A fair agreement with the existing angular distributions is obtained. Applying SU(3) symmetry, it is straightforward to recover the angular distributions for $\pi^0\eta$, and $\eta\eta$ production in the same energy range. A good agreement is generally obtained with all existing data.
We revisit antiproton-proton annihilation into light mesons in the energy domain relevant to the antiproton annihilation at Darmstadt (PANDA) experiment at the GSI Facility for Antiproton and Ion Research (FAIR) [2.25(1.5)≤s(pL)≤5.47(15) GeV (GeV/c) where s(pL) is the total energy (the beam momentum in the laboratory frame)]. An effective meson model is developed, with mesonic and baryonic degrees of freedom. Form factors are added to take into account the composite nature of the interacting hadrons. A comparison is made with the existing data for charged pion pair production and predictions for angular distributions and energy dependence in the range 3.362(5)≤s(pL)≤4.559(10.1) GeV (GeV/c). The model is applied to π±p elastic scattering, using crossing symmetry, and to charged kaon pair production, on the basis of SU(3) symmetry. In all cases the results illustrate a nice agreement with the data.

Note: 20 pages, 9 Figures

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DOI: 10.1103/PhysRevC.95.045202