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

Abstract

We study theoretically the feasibility of the semi-exclusive ${}^{12}$C($p,dp$)$X$ reaction for the observation of ${\eta }^{\prime }$ mesic nuclei using the microscopic transport model JAM. The semi-exclusive measurements of the ($p,d$) reaction with protons from ${\eta }^{\prime }$ absorption are found to be significant for the observation of the ${\eta }^{\prime }$ bound states. Especially, the measurements of the energetic protons from ${\eta }^{\prime }$ non-mesic two-body absorption (${\eta }^{\prime }NN\to NN$) are considered to be critically important. The Green's function method is used to calculate the expected spectrum of forward going deuterons corresponding to the excitation energy spectrum of the ${\eta }^{\prime }\otimes {}^{11}$C system in the semi-exclusive measurement. The semi-exclusive measurements are shown to be important in general for the ${\eta }^{\prime }$ mesic nucleus observation.

11 pages, 5 figures, 3 tables

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