Manifestation of Hidden Symmetries in Baryonic Matter: From Finite Nuclei to Neutron Stars

Abstract

The hadron-quark/gluon duality formulated in terms of a topology change at a density $n\gsim 2n_0$ $n_0\simeq 0.16$fm${}^{-3}$ is found to describe the core of massive compact stars in terms of quasiparticles of fractional baryon charges, behaving neither like pure baryons nor like deconfined quarks. This can be considered as the Cheshire-Cat mechanism~\cite{CC} for the hadron-quark continuity arrived at bottom-up from skyrmions that is equivalent to the "MIT-bag"-to-skyrmion continuity arrived at top-down from quarks/gluons. Hidden symmetries, both local gauge and pseudo-conformal (or broken scale), emerge and give rise both to the long-standing "effective $g_A^{\ast }\approx 1$" in nuclear Gamow-Teller transitions at $\lsim n_0$ and to the pseudo-conformal sound velocity $v_{pcs}^2/c^2\approx 1/3$ at $\gsim 3n_0$. It is suggested that what has been referred to, since a long time, as "quenched $g_A$" in light nuclei reflects what leads to the dilaton-limit $g_A^{\mathrm{DL}}=1$ at near the (putative) infrared fixed point of scale invariance. These properties are confronted with the recent observations in Gamow-Teller transitions and in astrophysical observations.

arXiv comment17 page, 8 figures, published version

References in corpus (24)

• "Deconfined" quantum critical points
• Renormalization Group Approach to Interacting Fermions
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• New Neutron Star Equation of State with Quark-Hadron Crossover
• Nuclear Physics Around the Unitarity Limit
• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Vector Mesons and an Interpretation of Seiberg Duality
• Towards the Hadron-Quark Continuity Via a Topology Change in Compact Stars
• From Chiral Lagrangians to Landau Fermi Liquid Theory of Nuclear Matter
• The Dilated Chiral Quark Model
• Chiral-scale effective theory including a dilatonic meson
• The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order
• Explorations beyond dilaton chiral perturbation theory in the eight-flavor SU(3) gauge theory
• Skyrmions, Quantum Hall Droplets, and one current to rule them all
• Baryon as a Quantum Hall Droplet and the Cheshire Cat Principle
• The Quenched $g_A$ in Nuclei and Emergent Scale Symmetry in Baryonic Matter
• The Inhomogeneous Phase of Dense Skyrmion Matter
• Inevitable emergence of composite gauge bosons
• From physical symmetries to emergent gauge symmetries

Cited by in corpus (5)

• Dilaton and Massive Hadrons in a Conformal Phase
• Topology and emergent symmetries in dense compact star matter
• Multifarious roles of hidden chiral-scale symmetry:"Quenching" $g_A$ in nuclei
• Strongly interacting matter in extreme magnetic fields
• Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter