η- and η'-mesic nuclei and U_A(1) anomaly at finite density

Abstract

We discuss theoretically the possibility of observing the bound states of the ηand η'(958) mesons in nuclei. We apply the NJL model to study the ηand η' meson properties at finite density and calculate the formation cross sections of the ηand η' bound states with the Green function method for (γ,p) reaction. We also discuss the experimental feasibility at photon facilities like SPring-8. The contributions due to the ωmeson production are also included to obtain the realistic (γ,p) spectra. We conclude that we can expect to observe resonance peaks in (γ,p) spectra for the formation of meson bound states and we can deduce new information on ηand η' properties at finite density. These observations are believed to be essential to know the possible mass shift of η' and deduce new information on the effective restoration of the U_A(1) anomaly in the nuclear medium.

arXiv comment10 pages, 7 figures, a few references and comments are added, published in PRC

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Cited by in corpus (52)

• Meson-nucleus potentials and the search for meson-nucleus bound states
• 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
• Nuclear bound state of eta'(958) and partial restoration of chiral symmetry in the eta' mass
• eta-prime nucleus optical potential and possible eta-prime bound states
• 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
• Level crossing of particle-hole and mesonic modes in eta mesic nuclei
• Determination of the real part of the η'-Nb optical potential
• Interactions of Non-Abelian Global Strings
• Thermal properties and evolution of the $U_A(1)$ factor for 2+1 flavors
• Missing-mass spectroscopy of the ${}^{12}\mathrm{C}(p,d)$ reaction near the ${\eta }^{\prime }$-meson production threshold
• U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface
• 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
• Non-Abelian Global Vortices
• Study of possible ωbound states in nuclei with the (γ,p) reaction
• Formation spectra of light kaonic nuclei by in-flight ($\bar{K},N$) reactions with chiral unitary amplitude
• Experimental constraints on the $\omega$-nucleus real potential
• The η'-carbon potential at low meson momenta
• Axial anomaly and hadronic properties in a nuclear medium
• Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model
• Interference and nuclear medium effects on the eta-mesic nuclear spectrum
• Mesonic and nucleon fluctuation effects at finite baryon density
• (d,3He) reaction on odd-neutron nuclear target for the formation of deeply bound pionic atoms
• New Insight about the Effective Restoration of U_A(1) Symmetry
• $\eta$ and ${\eta }^{\prime }$ mesons in nuclear matter and nuclei
• ${\eta }^{\prime }$ meson under partial restoration of chiral symmetry in nuclear medium
• Formation of Deeply Bound Kaonic Atoms in (K^-,N) Reactions
• Spectroscopy of ${\eta }^{\prime }$-nucleus bound states at GSI and FAIR --- very preliminary results and future prospects ---
• Medium effects in $\Lambda K^{+}$ pair production by 2.83 GeV protons on nuclei
• Structure of eta' mesonic nuclei in a relativistic mean field theory
• Search for the rare decay ${\eta }^{\prime }\to {\pi }^0{\pi }^0{\pi }^0{\pi }^0$ at BESIII
• 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
• In-medium Properties of η' Meson
• 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
• 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
• Formation of Heavy Meson Bound States by Two Nucleon Pick-up Reactions
• Formation of eta'(958) Meson Bound States by the 6Li(gamma,d) reaction
• Mesons in Nuclei and Partial Restoration of Chiral Symmetry
• Recent topics of mesic atoms and mesic nuclei -- $\varphi$ mesic nuclei exist ?--
• Feasibility of the observation of ${\eta }^{\prime }$ mesic nuclei in the semi-exclusive ${}^{12}$C($p,dp$) reaction
• Direct measurement of the in-medium ${\eta }^{\prime }$ mass spectrum through the $\gamma \gamma$ decay channel
• Backward-angle electroproduction of ${\eta }^{\prime }$ mesons off protons at $W=2.13\text{GeV}$ and $Q^2=0.46{\left(\text{GeV}/c\right)}^2$