In medium eta' mass and eta' N interaction based on chiral effective theory

Abstract

The in-medium eta' mass and the eta'N interaction are investigated in an effective theory based on the linear realization of the SU(3) chiral symmetry. We find that a large part of the eta' mass is generated by the spontaneous breaking of chiral symmetry through the U_A (1) anomaly. As a consequence of this observation, the eta' mass is reduced in nuclear matter where chiral symmetry is partially restored. In our model, the mass reduction is found to be 80MeV at the saturation density. Estimating the eta' N interaction based on the same effective theory, we find that the eta' N interaction in the scalar channel is attractive sufficiently to form a bound state in the eta' N system with a several MeV binding energy. We discuss the origin of attraction by emphasizing the special role of the sigma meson in the linear sigma model for the mass generation of eta' and N.

15 pages, 6 figures

References in corpus (14)

• The nature of the Lambda(1405) resonance in chiral dynamics
• Origin of resonances in the chiral unitary approach
• η- and η'-mesic nuclei and U_A(1) anomaly at finite density
• Transparency ratio in γA -> η' A' and the in-medium η' width
• Nuclear bound state of eta'(958) and partial restoration of chiral symmetry in the eta' mass
• Pseudoscalar neutral mesons in hot and dense matter
• eta-prime nucleus optical potential and possible eta-prime bound states
• Conformal anomaly and the vector coupling in dense matter
• Chiral unitary approach to η' N scattering at low energies
• Structure of Lambda(1405) and threshold behavior of piSigma scattering
• η' Multiplicity and the Witten-Veneziano relation at finite temperature
• A renewed look at eta' in medium
• Chiral and U_A(1) symmetry in correlation functions in medium
• ${\eta }^{\prime }$ meson under partial restoration of chiral symmetry in nuclear medium

Cited by in corpus (28)

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• 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
• Search for Quasi Bound $\eta$ Mesons
• Search for ${\eta }^{\prime }$ bound nuclei in the ${}^{12}\mathrm{C}(\gamma ,p)$ reaction with simultaneous detection of decay products
• Fate of the ${\eta }^{\prime }$ in the Quark Gluon Plasma
• Probing the hadron mass spectrum in dense two-color QCD with the linear sigma model
• 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
• Mesonic and nucleon fluctuation effects at finite baryon density
• $\eta$ and ${\eta }^{\prime }$ mesons in nuclear matter and nuclei
• New Insight about the Effective Restoration of U_A(1) Symmetry
• A $U_A(1)$ symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution
• 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
• Spectral function of the ${\eta }^{\prime }$ meson in nuclear medium based on phenomenological models
• Role of U${}_A$(1) breaking term in dynamical chiral symmetry breaking of chiral effective theories
• Theoretical study of photoproduction of ${\eta }^{\prime }N$ bound state on deuteron target with forward proton emission
• Study of in-medium ${\eta }^{\prime }$ properties in the ($\gamma$, ${\eta }^{\prime }p$) reaction on nuclei
• Effect of the final state interaction of ${\eta }^{\prime }N$ on the ${\eta }^{\prime }$ photoproduction off nucleon
• Possible ${\eta }^{\prime }d$ bound state and its $s$-channel formation in the $\gamma d\to \eta d$ reaction
• Near-threshold ${\eta }^{\prime }$ meson production in ${\pi }^{-}A$ reactions
• The ${\eta }^{\prime }N$ interaction from the ${\eta }^{\prime }p$ correlation function
• Mesons in Nuclei and Partial Restoration of Chiral Symmetry
• Lifetime of the eta' meson at low temperature
• Direct measurement of the in-medium ${\eta }^{\prime }$ mass spectrum through the $\gamma \gamma$ decay channel