Correlations between the nuclear matter symmetry energy, its slope, and   curvature from a nonrelativistic solvable approach and beyond
  By using point-coupling versions of finite range nuclear relativistic mean field models containing cubic and quartic self interactions in the scalar field $\sigma$, a nonrelativistic limit is achieved. This approach allows an analytical expression for the symmetry energy ($J$) as a function of its slope ($L$) in a unified form, namely, $\,L\,=\,3J\,+f(m^{*},\rho_{o},B_{o},K_{o})$, where the quantities $m^{*}$, $\rho_{o}$, $B_{o}$ and $K_{o}$ are bulk parameters at the nuclear matter saturation density $\rho_{o}$. This result establishes a linear correlation between $L$ and $J$ which is reinforced by exact relativistic calculations. An analogous analytical correlation is also found for $J$, $L$ and the symmetry energy curvature ($K_{sym}$). Based on these results, we propose graphic constraints in $L\times J$ and $K_{sym}\times L$ planes which finite range models must satisfy. 
B. M. Santos, M. Dutra, O. Louren\c{c}o, and A. Delfino
nucl-th astro-ph.SR