Measuring the $ϕ$ meson width in the medium from $p$ induced $ϕ$ production in nuclei

We study the $A$ dependence of the $ϕ$ meson production cross section in proton nucleus reactios at energies just above threshold, which are accessible in an experimental facility like COSY. This $A$ dependence has two sources: the distortion of the incident proton and the absorption of the $ϕ$ in its way out of the nucleus. This second process reduces the cross section in about a factor two in heavy nuclei. Thus we show that the $A$ dependence of the cross section contains valuable information on the $ϕ$ width in the nuclear medium.

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