$\eta$-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.

arXiv comment14 pages, 31 figures, 1 table, submitted to EPJA

References in corpus (33)

• Photoproduction of eta-mesic 3He
• Are eta- and omega-nuclear states bound ?
• Eta-Helium Quasi-Bound States
• eta in the nuclear medium within a chiral unitary approach
• $\eta$ bound states in nuclei
• Formation of $\eta$-mesic Nuclei Using the Recoilless (d,${}^3$He) Reaction
• Medium effects to N(1535) resonance and eta mesic nuclei
• Near threshold eta meson production in the d+d->alpha+eta reaction
• Formation of mesic nuclei by (γ,p) reactions
• Quantum reflection and dwell times of metastable states
• Level crossing of particle-hole and mesonic modes in eta mesic nuclei
• eta-Nucleus interactions and in-medium properties of N*(1535) in chiral models
• Search for eta-mesic 4He in the dd->3He n pi0 and dd->3He p pi- reactions with the WASA-at-COSY facility
• In-medium Eta-Nucleon interactions and Eta nuclear bound states
• Formation of eta-mesic nuclei by (pi,N) reaction and N^*(1535) in medium
• Determination of the ${\mathbf{\eta }}^3\mathrm{He}$ threshold structure from the low energy $\mathbf{pd}\to {\mathbf{\eta }}^3\mathrm{He}$ reaction
• omega-nucleus bound states in the Walecka model
• Onset of $\eta$-meson binding in the He isotopes
• Eta-mesic nuclei: past, present, future
• Comment on 'Photoproduction of $\eta$--Mesic ${}^3$He'
• Chirally motivated separable potential model for $\eta N$ amplitudes
• Search for He-eta bound states with the WASA-at-COSY facility
• Study of the $\eta$-nucleus interaction in the $pd{\to }^{3}He\eta$ reaction near threshold
• Solution of the eta-4He problem with quasi-particle formalism
• Possible eta-mesic 3He states within the finite rank approximation
• Momentum distribution of N${}^{\ast }$ in nuclei
• Three-body mechanism of $\eta$ production
• Upper limits for the production of the eta-mesic Helium in the dd ->3Henpi0 and dd -> 3Heppi- reactions
• Medium effects to the N(1535) resonance and eta mesic nuclei
• Eta-mesic nuclei in relativistic mean-field theory
• Comment on "Hadronic ${}^3$He$\eta$ production near threshold"
• Search for the manifestation of the mesic-nuclei on the dd-->3HeNpi excitation function measured with WASA-at-COSY
• Search for eta-mesic nuclei with WASA-at-COSY

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• Constraining the optical potential in the search for eta-mesic 4He
• The ${\chi }_{cJ}$ decay to $\varphi K^{\ast }\bar{K},\varphi h_1(1380)$ testing the nature of axial vector meson resonances
• $\eta$ and ${\eta }^{\prime }$ mesons in nuclear matter and nuclei
• Search for eta mesic 3He with the WASA-at-COSY facility in the pd-> 3He 2gamma and pd-> 3He 6gamma reactions
• Luminosity determination for the proton-deuteron reaction using pd -> 3He eta channel with WASA-at-COSY detector
• Systematic few-body analysis of eta-d, eta-3He and eta-4He interaction at low energies
• Structure of double pionic atoms
• On the determination of the $D$ meson width in the nuclear medium with the transparency ratio
• Status of the search for $\eta$-mesic nuclei with particular focus on $\eta$-Helium bound states
• The ${\eta }^{\prime }N$ interaction from the ${\eta }^{\prime }p$ correlation function