Charge density of light exotic nuclei and $\rho NN$ tensor coupling

Abstract

We use a relativistic mean field model to study the charge density distributions of exotic oxygen isotopes. Nonlinear isoscalar-isovector terms which are not constrained by the present data are considered and the $\rho NN$ tensor coupling that does not affect the symmetry energy in the mean field model is included. Strong correlations between the neutron radius of ${}^{208}$Pb and the charge radius of ${}^{12,13,23,24}$O are found. The $\rho NN$ tensor coupling explicitly enhances the radius correlations between ${}^{23,24}$O and ${}^{208}$Pb. This enhancement is due to the neutron occupation of the orbital $2s_{1/2}$. The charge radius is sensitive to the change of the density dependence of the symmetry energy as the isotope goes towards the proton drip line.

arXiv comment13 pages, 4 figures

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• Roles of isoscalar hyperons in probing the density dependence of the nuclear symmetry energy
• Probe the 2$s_{1/2}$ and 1$d_{3/2}$ state level inversion with electron-nucleus scattering
• Symmetry energy softening in nuclear matter with non-nucleonic constituents
• Sensitivity of deexcitation energies of superdeformed secondary minima to the density dependence of symmetry energy with the relativistic mean-field theory
• Ground-state properties of light kaonic nuclei signaling symmetry energy at high densities