The Quenched $g_A$ in Nuclei and Emergent Scale Symmetry in Baryonic Matter

Abstract

A recent RIKEN experiment on the quenched $g_A$ in the superallowed Gamow-Telller transition from ${}^{100}$Sn indicates a role of scale anomaly encoded in the anomalous dimension ${\beta }^{\prime }$ of the gluonic stress tensor ${\mathrm{Tr}\mathrm{G}}_{\mu \nu }^2$. This observation provides a support to the notion of hidden scale symmetry emerging by strong nuclear correlations with an IR fixed point realized -- in the chiral limit -- in the Nambu-Goldstone mode. We suggest there is an analogy in the way scale symmetry manifests in nuclear medium to the continuity from the unitarity limit at low density (in light nuclei) to the dilaton limit at high density (in compact stars). In between the limits, say, at normal nuclear matter density, the symmetry is not visible, hence hidden.

Note added to version that will appear in PRL

References in corpus (4)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• Genuine Dilatons in Gauge Theories
• Resolving the Quenched $g_A$ Puzzle in Nuclei and Nuclear Matter

Cited by in corpus (12)

• Cusp in the Symmetry Energy, Speed of Sound in Neutron Stars and Emergent Pseudo-Conformal Symmetry
• Topology and emergent symmetries in dense compact star matter
• Manifestation of Hidden Symmetries in Baryonic Matter: From Finite Nuclei to Neutron Stars
• Topology change, emergent symmetries and compact star matter
• Nuclear medium meson structures from the Schwinger proper-time Nambu--Jona-Lasinio model
• Scale symmetry and composition of compact star matter
• Dichotomy of Baryons as Quantum Hall Droplets and Skyrmions In Compact-Star Matter
• Multifarious roles of hidden chiral-scale symmetry:"Quenching" $g_A$ in nuclei
• Topology change and emergent scale symmetry in compact star matter via gravitational wave detection
• Fractionalized Quasiparticles in Dense Baryonic Matter
• The "Folk Theorem" on Effective Field Theory: A Case for Nuclear Physics
• Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter