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We examine critically how tightly the density dependence of nuclear symmetry energy esym is constrained by the universal equation of state (EOS) of the unitary Fermi gas $E_{rm{UG}}(rho)$ considering currently known uncertainties of higher order parameters describing the density dependence of the Equation of State of isospin-asymmetric nuclear matter. We found that $E_{rm{UG}}(rho)$ does provide a useful lower boundary for the esym. However, it does not tightly constrain the correlation between the magnitude $E_{rm{sym}}(rho_0)$ and slope $L$ unless the curvature $K_{rm{sym}}$ of the symmetry energy at saturation density $rho_0$ is more precisely known. The large uncertainty in the skewness parameters affects the $E_{rm{sym}}(rho_0)$ versus $L$ correlation by the same almost as significantly as the uncertainty in $K_{rm{sym}}$.
We analyze and propose a solution to the apparent inconsistency between our current knowledge of the Equation of State of asymmetric nuclear matter, the energy of the Isobaric Analog State (IAS) in a heavy nucleus such as 208Pb, and the isospin symme
We derive a microscopic relativistic point-coupling model of nuclear many-body dynamics constrained by in-medium QCD sum rules and chiral symmetry. The effective Lagrangian is characterized by density dependent coupling strengths, determined by chira
Properties of cold nuclear matter are studied within a generalized Nambu-Jona-Lasinio model formulated on the level of constituent nucleons. The model parameters are chosen to reproduce simultaneously the observed nucleon and pion masses in vacuum as
The nuclear symmetry energy is a fundamental quantity important for studying the structure of systems as diverse as the atomic nucleus and the neutron star. Considerable efforts are being made to experimentally extract the symmetry energy and its dep
In this work we present the first steps towards benchmarking isospin symmetry breaking in ab initio nuclear theory for calculations of superallowed Fermi $beta$-decay. Using the valence-space in-medium similarity renormalization group, we calculate b