Constraining slope parameter of symmetry energy from nuclear structure

Abstract

Four quantities deducible from nuclear structure experiments have been claimed to correlate to the slope parameter $L$ of the symmetry energy; the neutron skin thickness, the cross section of low-energy dipole (LED) mode, dipole polarizability ${\alpha }_D$, and ${\alpha }_D{S}_0$ (i.e. product of ${\alpha }_D$ and the symmetry energy $S_0$). By the calculations in the Hartree-Fock plus random-phase approximation with various effective interactions, we compare the correlations between $L$ and these four quantities. The correlation derived from different interactions and the correlation from a class of interactions that are identical in the symmetric matter as well as in $S_0$ are simultaneously examined. These two types of correlations may behave differently, as exemplified in the correlation of ${\alpha }_D$ to $L$. It is found that the neutron skin thickness and ${\alpha }_D{S}_0$ correlate well to $L$, and therefore are suitable for narrowing down the value of $L$ via experiments. The LED emergence and upgrowth makes the ${\alpha }_D{S}_0$-$L$ correlation strong, although these correlations are disarranged when neutron halo appears in the ground state.

8 pages, 5 figures

References in corpus (10)

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• Nuclear symmetry energy and the role of three-body forces
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Neutron-skin values and matter and neutron radii determined from reaction cross sections of proton scattering on ${}^{12}$C, ${}^{40,48}$Ca, ${}^{58}$Ni, ${}^{208}$Pb
• Evaluations of uncertainties in simulations of propagation of ultrahigh-energy cosmic-ray nuclei derived from microscopic nuclear models
• Nuclear landscape in a mapped collective Hamiltonian from covariant density functional theory