Symmetry energy at subsaturation densities and the neutron skin thickness of 208Pb

Abstract

The mass-dependent symmetry energy coefficients $a_{sym}(A)$ has been extracted by analysing the heavy nuclear mass differences reducing the uncertainties as far as possible in our previous work. Taking advantage of the obtained symmetry energy coefficient $a_{sym}(A)$ and the density profiles obtained by switching off the Coulomb interaction in ${}^{208}\text{Pb}$, we calculated the slope parameter $L_{0.11}$ of the symmetry energy at the density of $0.11{\text{fm}}^{-3}$. The calculated $L_{0.11}$ ranges from 40.5 MeV to 60.3 MeV. The slope parameter $L_{0.11}$ of the symmetry energy at the density of $0.11{\text{fm}}^{-3}$ is also calculated directly with Skyrme interactions for nuclear matter and is found to have a fine linear relation with the neutron skin thickness of ${}^{208}\text{Pb}$, which is the difference of the neutron and proton rms radii of the nucleus. With the linear relation the neutron skin thickness $\Delta R_{np}$ of ${}^{208}\text{Pb}$ is predicted to be 0.15 - 0.21 fm.

5 pages, 2 figures

References in corpus (16)

• Neutron-Rich Nuclei in Heaven and Earth
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Constraints on neutron star radii based on chiral effective field theory interactions
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• The influence of cluster emission and the symmetry energy on neutron-proton spectral double ratios
• Density dependence of nuclear symmetry energy constrained by mean-field calculations
• Constraining the high-density nuclear symmetry energy with the transverse-momentum dependent elliptic flow
• Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies
• Excitation energy dependence of symmetry energy of finite nuclei
• Density-dependent symmetry energy at subsaturation densities from nuclear mass differences
• Origin of symmetry energy in finite nuclei and density dependence of nuclear matter symmetry energy from measured alpha-decay energies
• Constraining the high-density behavior of nuclear equation of state from strangeness production in heavy-ion collisions
• Constraints on neutron skin thickness in 208Pb and density-dependent symmetry energy
• Competition between Coulomb and Symmetry Potential in Semi-peripheral Heavy-ion Collisions
• Nuclear symmetry energy and proton-rich reactions at intermediate energies

Cited by in corpus (2)

• Constraining nuclear symmetry energy with the charge radii of mirror-pair nuclei
• Influence of differential elastic nucleon-nucleon cross section on stopping and collective flows in heavy-ion collisions at intermediate energies