Momentum dependence of pion-induced $\varphi$ meson production on nuclei near threshold

Abstract

We study the near-threshold pion-induced production of $\varphi$ mesons off nuclei in the kinematical conditions of the HADES experiment, recently performed at GSI. The calculations have been performed within a collision model based on the nuclear spectral function. The model accounts for both the primary ${\pi }^{-}$ meson--proton ${\pi }^{-}p\to \varphi n$ and the secondary pion--nucleon $\pi N\to \varphi N$ $\varphi$ production processes as well as the effects of the nuclear $\varphi$ and nucleon mean-field potentials. We find that the primary reaction channel ${\pi }^{-}p\to \varphi n$ dominates in the $\varphi$ production off ${}^{12}$C and ${}^{184}$W target nuclei in the HADES acceptance window at incident pion momentum of 1.7 GeV/c. We calculate the momentum dependence of the absolute and relative (transparency ratio) $\varphi$ meson yields from the above direct channel. The calculations have been performed for this initial pion momentum allowing for different options for the $\varphi N$ absorption cross section ${\sigma }_{\varphi N}$ and different scenarios for the in-medium mass shifts of the $\varphi$ meson and secondary neutron, produced together with $\varphi$ in this channel. We demonstrate that the transparency ratio for the $\varphi$ mesons has, contrary to the absolute cross sections, an insignificant sensitivity to the $\varphi$ meson and secondary neutron in-medium mass shifts at $\varphi$ momenta studied in the HADES experiment. On the other hand, we show that there are measurable changes in the transparency ratio due to the $\varphi N$ absorption cross section, which means that such relative observable can be useful to help determine this cross section from the data taken in the HADES experiment.

21 pages, 9 figures

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• Probing the structure of $X(3872)$ in photoproduction
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• Near-threshold ${\eta }^{\prime }$ meson production in ${\pi }^{-}A$ reactions
• Momentum dependence of near-threshold photoproduction of ${\Xi }^{-}$ hyperons off nuclei and their properties in the nuclear medium