On the treatment of $NN$ interaction effects in meson production in $NN$ collisions

Abstract

We clarify under what circumstances the nucleon--nucleon final state interaction fixes the energy dependence of the total cross--section for the reaction $NN\to NNx$ close to production threshold, where $x$ can be any meson whose interaction with the nucleon is not too strong. We strongly criticize the procedure used recently by several authors to include the final state interaction in the reactions under discussion. In addition, we give a formula that allows one to estimate the effect of the initial state interaction for the production of heavy mesons.

9 pages, 1 figure, submitted to Phys. Lett. B

References in corpus (3)

• Nucleon-nucleon bremsstrahlung: An example of the impossibility of measuring off-shell amplitudes
• Low-Energy $Λ-\p$ Scattering Parameters from the $pp\to p{K}^{+}\Lambda$ Reaction
• ${\eta }^{\prime }$ Production in Proton-Proton Collisions near Threshold

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• eta' meson production in proton-proton collisions
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• eta-prime Meson Production in Nucleon-Nucleon Collisions Near The Threshold
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• Eta and eta' mesons production at COSY-11
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• Role of the low-lying nucleon resonances in the $p\bar{p}\to \psi \eta$ reaction
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