Phenomenological study on the $\bar{p}N\to \bar{N}N\pi \pi$ reactions

Abstract

We extend our recent phenomenological study of $pN\to NN\pi \pi$ reactions to the $\bar{p}N\to \bar{N}N\pi \pi$ reactions for anti-proton beam momenta up to 3.0 GeV within an effective Lagrangian approach. The contribution of $N^{\ast }(1440)$ with its $N\sigma$ decay mode is found to be dominant at the energies close to threshold for $\bar{N}N{\pi }^{+}{\pi }^{-}$ and $\bar{N}N{\pi }^0{\pi }^0$ channels. At higher energies or for $p\bar{n}{\pi }^{-}{\pi }^{-}$ and $\bar{N}N{\pi }^{\pm }{\pi }^0$ channels where $N^{\ast }(1440)\to N\sigma$ mode cannot contribute, large contributions from double-$\Delta$, $\Delta (1600)\to N^{\ast }(1440)\pi$, $\Delta (1600)\to \Delta \pi$ and $\Delta (1620)\to \Delta \pi$ are found. In the near-threshold region, sizeable contributions from $\Delta \to \Delta \pi$, $\Delta \to N\pi$, $N\to \Delta \pi$ and nucleon pole are also indicated. Although these results are similar to those for $pN\to NN\pi \pi$ reactions, the antinucleon-nucleon collisions are shown to be complementary to the nucleon-nucleon collisions and may even have advantages in some aspects. The PANDA/FAIR experiment is suggested to be an excellent place for studying the properties of relevant $N^{\ast }$ and ${\Delta }^{\ast }$ resonances.

14 pages+7 figures

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