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The η ′ N interaction from a chiral effective model and η ′-N bound state

2014/12/04 by Shuntaro Sakai, Daisuke Jido · 9 citations
Physics and Astronomy · #Bound state #Chiral symmetry breaking #Degeneracy (biology) #Meson #Nuclear physics research studies #Octet #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #Scalar meson #Sigma #Sigma model #Singlet state #Strong interaction #Symmetry breaking #Weak interaction #nucl-th

paper · pdf · doi:10.1007/s10751-015-1162-8

published in Hyperfine Interactions 234(1-3), 71-76 (Springer Science+Business Media) · 6 pages, 2 figures, Contribution to the proceedings of International Conference on Exotic Atoms and Related Topics - EXA2014, September 15-19, 2014, Wien, Austria

arxiv created 2014/12/04 · openalex publication_date 2015/03/24 · arxiv updated 2015/04/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The η' mass reduction in the nuclear medium is expected from the degeneracy of the pseudoscalar-singlet and octet mesons when chiral symmetry is manifest. In this study, we investigate the η'N 2body interaction which is the foundation of the in-medium η' properties using the linear sigma model as a chiral effective model. The η'N interaction in the linear sigma model comes from the scalar meson exchange with UA(1) symmetry effect and is found to be fairly strong attraction. Moreover, the ηN transition is included in our calculation, and is important for the imaginary part of the η'-optical potential. The transition amplitude of η'N to the ηN channel is relatively small compared to that of elastic channel. From the analysis of the η'N 2body system, we find a η'N bound state with the binding energy 12.3-3.3iMeV. We expect that this strongly attractive two body interaction leads to a deep and attractive optical potential.

Citations