$\eta$-nucleus interaction from the $d+d$ reaction around the $\eta$ production threshold

Abstract

The $\eta$ mesic nucleus is considered to be one of the interesting exotic many body systems and has been studied since 1980's theoretically and experimentally. Recently, the formation of the $\eta$ mesic nucleus in the fusion reactions of the light nuclei such as $d+d\to (\eta +\alpha )\to X$ has been proposed and the experiments have been performed by WASA-at-COSY. We develop a theoretical model to evaluate the formation rate of the $\eta$ mesic nucleus in the fusion reactions and show the calculated results. We find that the $\eta$ bound states could be observed in the reactions in cases with the strong attractive and small absorptive $\eta$-nucleus interactions. We compare our results with existing data of the $d+d\to \eta +\alpha$ and the $d+d\to {}^3\mathrm{He}+N+\pi$ reactions. We find that the analyses by our theoretical model with the existing data can provide new information on the $\eta$-nucleus interaction.

14 pages, 31 figures, 1 table, submitted to EPJA

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Cited by in corpus (1)

• Structure of double pionic atoms