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• W3146065387 abstract "Nuclear symmetry energy ${E}_{text{sym}}(ensuremath{rho})$ at density $ensuremath{rho}$ is normally expanded or simply parameterized as a function of $ensuremath{chi}=(ensuremath{rho}ensuremath{-}{ensuremath{rho}}_{0})/3{ensuremath{rho}}_{0}$ in the form of ${E}_{text{sym}}(ensuremath{rho})ensuremath{approx}S+Lensuremath{chi}+{2}^{ensuremath{-}1}{K}_{text{sym}}{ensuremath{chi}}^{2}+{6}^{ensuremath{-}1}{J}_{text{sym}}{ensuremath{chi}}^{3}+ensuremath{cdots}$ using its magnitude $S$, slope $L$, curvature ${K}_{text{sym}}$, and skewness ${J}_{text{sym}}$ at the saturation density ${ensuremath{rho}}_{0}$ of nuclear matter. Much progress has been made in recent years in constraining especially the $S$ and $L$ parameters using various terrestrial experiments and astrophysical observations. However, such expansions/parametrizations do not converge at suprasaturation densities where $ensuremath{chi}$ is not small enough, hindering an accurate determination of high-density ${E}_{text{sym}}(ensuremath{rho})$ even if its characteristic parameters at ${ensuremath{rho}}_{0}$ are all well determined by experiments/observations. By expanding the ${E}_{text{sym}}(ensuremath{rho})$ in terms of a properly chosen auxiliary function ${mathrm{ensuremath{Pi}}}_{text{sym}}(ensuremath{chi},{mathrm{ensuremath{Theta}}}_{text{sym}})$ with a parameter ${mathrm{ensuremath{Theta}}}_{text{sym}}$ fixed accurately by an experimental ${E}_{text{sym}}({ensuremath{rho}}_{text{r}})$ value at a reference density ${ensuremath{rho}}_{text{r}}$, we show that the shortcomings of the $ensuremath{chi}$ expansion can be completely removed or significantly reduced in determining the high-density behavior of ${E}_{text{sym}}(ensuremath{rho})$. In particular, using two significantly different auxiliary functions, we show that the new approach effectively incorporates higher $ensuremath{chi}$-order contributions and converges to the same ${E}_{text{sym}}(ensuremath{rho})$ much faster than the conventional $ensuremath{chi}$ expansion at densities $ensuremath{lesssim}3{ensuremath{rho}}_{0}$. Moreover, the still poorly constrained skewness ${J}_{text{sym}}$ plays a small role in determining the ${E}_{text{sym}}(ensuremath{rho})$ at these densities in the auxiliary function approach. The new approach thus provides a nearly model-independent constraint on the ${E}_{text{sym}}(ensuremath{rho})$ at densities $ensuremath{lesssim}3{ensuremath{rho}}_{0}$. Several quantitative demonstrations using Monte Carlo simulations are given." @default.
• W3146065387 created "2021-04-13" @default.
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• W3146065387 date "2021-05-19" @default.
• W3146065387 modified "2023-10-17" @default.
• W3146065387 title "Auxiliary function approach for determining symmetry energy at suprasaturation densities" @default.
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• W3146065387 doi "https://doi.org/10.1103/physrevc.103.054611" @default.
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