eta-prime nucleus optical potential and possible eta-prime bound states

Abstract

Starting from a recent model of the eta'N interaction, we evaluate the eta'-nucleus optical potential, including the contribution of lowest order in density, t rho/2m_eta', together with the second order terms accounting for eta' absorption by two nucleons. We also calculate the formation cross section of the eta' bound states from (pi+,p) reactions on nuclei. The eta'-nucleus potential suffers from uncertainties tied to the poorly known eta'N interaction, which can be partially constrained by the experimental modulus of the eta'N scattering length and/or the recently measured transparency ratios in eta' nuclear photoproduction. Assuming an attractive interaction and taking the claimed experimental value |a_eta'N| = 0.1 fm, we obtain a eta' optical potential in nuclear matter at saturation density of V_eta' = -(8.7 + 1.8i) MeV, not attractive enough to produce eta' bound states in light nuclei. Larger values of the scattering length give rise to deeper optical potentials, with moderate enough imaginary parts. For a value |a_eta'| = 0.3 fm, which can still be considered to lie within the uncertainties of the experimental constraints, the spectra of light and medium nuclei show clear structures associated to eta'-nuclear bound states and to threshold enhancements in the unbound region.

11 pages, 4 figures, 2 tables

References in corpus (4)

• η- and η'-mesic nuclei and U_A(1) anomaly at finite density
• Pseudoscalar neutral mesons in hot and dense matter
• Formation of eta-mesic nuclei by (pi,N) reaction and N^*(1535) in medium
• Chiral unitary approach to η' N scattering at low energies

Cited by in corpus (43)

• Meson-nucleus potentials and the search for meson-nucleus bound states
• Nuclear-bound quarkonia and heavy-flavor hadrons
• Transparency ratio in γA -> η' A' and the in-medium η' width
• Determination of the η'-nucleus optical potential
• Etaprime and Eta Mesons with Connection to Anomalous Glue
• Formation of eta-prime(958)-mesic nuclei by (p,d) reaction
• Determination of the eta'-proton scattering length in free space
• In medium eta' mass and eta' N interaction based on chiral effective theory
• Measurement of excitation spectra in the ${}^{12}$C$(p,d)$ reaction near the ${\eta }^{\prime }$ emission threshold
• Determination of the real part of the η'-Nb optical potential
• Missing-mass spectroscopy of the ${}^{12}\mathrm{C}(p,d)$ reaction near the ${\eta }^{\prime }$-meson production threshold
• Photoproduction of ${\eta }^{\prime }$ mesons off nuclei and their properties in the nuclear medium
• Search for ${\eta }^{\prime }$ bound nuclei in the ${}^{12}\mathrm{C}(\gamma ,p)$ reaction with simultaneous detection of decay products
• Application of a coupled-channel Complex Scaling Method with Feshbach projection to the $K^{-}pp$ system
• Experimental constraints on the $\omega$-nucleus real potential
• A renewed look at eta' in medium
• Single- and two-nucleon antikaon absorption in nuclear matter with chiral meson-baryon interactions
• Double-pole nature of $\Lambda (1405)$ studied with coupled-channel complex scaling method using complex-range Gaussian basis
• (d,3He) reaction on odd-neutron nuclear target for the formation of deeply bound pionic atoms
• Few-body aspects of the near threshold pseudoscalar meson production
• $\eta$ and ${\eta }^{\prime }$ mesons in nuclear matter and nuclei
• First application of a microscopic $K^{-}NN$ absorption model in calculations of kaonic atoms
• ${\eta }^{\prime }$ meson under partial restoration of chiral symmetry in nuclear medium
• Chiral and U_A(1) symmetry in correlation functions in medium
• Spectroscopy of ${\eta }^{\prime }$-nucleus bound states at GSI and FAIR --- very preliminary results and future prospects ---
• Structure of eta' mesonic nuclei in a relativistic mean field theory
• Study of the N N eta' production with COSY-11
• Spectroscopy of eta' mesic nuclei with (p,d) reaction
• Spectral function of the ${\eta }^{\prime }$ meson in nuclear medium based on phenomenological models
• Search for the manifestation of the mesic-nuclei on the dd-->3HeNpi excitation function measured with WASA-at-COSY
• Study of in-medium ${\eta }^{\prime }$ properties in the ($\gamma$, ${\eta }^{\prime }p$) reaction on nuclei
• Theoretical study of photoproduction of ${\eta }^{\prime }N$ bound state on deuteron target with forward proton emission
• Possible ${\eta }^{\prime }d$ bound state and its $s$-channel formation in the $\gamma d\to \eta d$ reaction
• From $\bar{K}N$ Interactions to $\bar{K}$-Nuclear Quasi-Bound States
• Effect of the final state interaction of ${\eta }^{\prime }N$ on the ${\eta }^{\prime }$ photoproduction off nucleon
• The ${\eta }^{\prime }N$ interaction from the ${\eta }^{\prime }p$ correlation function
• Near-threshold ${\eta }^{\prime }$ meson production in ${\pi }^{-}A$ reactions
• Formation of eta'(958) Meson Bound States by the 6Li(gamma,d) reaction
• Search for the 4He-eta bound state in dd->(4He-eta)_{bound}->3He n pi0 and dd->(4He-eta)_{bound}->3He p pi- reactions with the WASA-at-COSY facility
• QCD symmetries and the eta and etaprime in nuclei
• Close to threshold eta' meson production in proton-proton collisions at COSY-11
• Feasibility of the observation of ${\eta }^{\prime }$ mesic nuclei in the semi-exclusive ${}^{12}$C($p,dp$) reaction
• Lifetime of the eta' meson at low temperature