Abstract
The possibility of observing formation of hidden-charm pentaquarks as $s$-channel resonances in antiproton - deuteron collisions is discussed. It is pointed out that the masses of the reported by LHCb pentaquark resonances in the $J/\psi \, p$ channel are very close to a special value of the mass at which formation of a pentaquark by antiproton incident on a deuteron at rest requires exactly the same momentum of the $\bar p$ as needed for the formation in the $s$ channel of the charmonium resonance in $\bar p p$ collisions with the proton being at rest. For this reason the former process can be rather completely described within the notion of the deuteron being a shallow bound state of two nucleons without resorting to models describing its short-distance structure. It is argued that a similar kinematical coincidence can be expected for (yet) hypothetical pentaquark resonances in the $\eta_c \, N$ channel, and that these can be sought for once antiproton - deuterium collisions become available for experimentation.
Highlights
The possibility of observing formation of hidden-charm pentaquarks as s-channel resonances in antiproton-deuteron collisions is discussed
Pentaquarks can be effected by arranging an interaction of a nucleon with any other state that couples to charmonium. It is the purpose of this paper to point out that a realistic and largely model-independent possibility of producing hidden-charm pentaquarks is offered by the collisions of antiprotons with a deuterium target, which process is possible due to coupling of charmonium states to the ppchannel, e.g., J=ψ → pp [7]
The discussed formation of hidden-charm pentaquarks is not suppressed by the “softness” of the deuteron due to a kinematical coincidence, making it plausible that actual experimental searches can be performed by the PANDA experiment [8] at FAIR using a deuterium target
Summary
The possibility of observing formation of hidden-charm pentaquarks as s-channel resonances in antiproton-deuteron collisions is discussed. This process is possible with other states of charmonium, e.g., it can be used for a search of resonances in the ηcn channel, which, as will be discussed, has a certain advantage over the J=ψ due to a significantly larger ppdecay width of ηc.
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