Revisiting ${\eta }^{\prime }(958)$ nuclear states

Abstract

Observing ${\eta }^{\prime }$-nuclear quasibound states requires that the ${\eta }^{\prime }$-nuclear potential is both sufficiently attractive and weakly absorptive, as confirmed by the CBELSA/TAPS collaboration analysis of inclusive ${\eta }^{\prime }$ production experiments on nuclear targets, including liquid hydrogen (LH${}_2$). Here we present an alternative derivation of the ${\eta }^{\prime }$-nuclear potential, constrained by near-threshold $pp\to pp{\eta }^{\prime }$ and $\gamma p\to {\eta }^{\prime }p$ production experiments on a free proton. The resulting ${\eta }^{\prime }$-nuclear potential is weakly attractive and strongly absorptive, to the extent that observation of clear signals of ${\eta }^{\prime }$-nuclear quasibound states is unlikely. Possible exceptions resulting from the dynamics of the nearby $I=\frac{1}{2}$ $J=(\frac{1}{2}{)}^{-}$ nucleon resonance $N^{\ast }$(1895) are briefly discussed.

arXiv commentv1: 8 pages, 2 tables, no figures, to be submitted for publication, comments are welcome. v2: slight editorial changes, two references added, submitted for publication. v3: 9 pages, 2 tables, no figure, two references added and some related discussion, accepted for publication in PLB. v4: typos corrected, footnote added

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• Feasibility of the observation of ${\eta }^{\prime }$ mesic nuclei in the semi-exclusive ${}^{12}$C($p,dp$) reaction