Relativistic mean-field description of nuclei at the drip-lines

Abstract

We present a review of recent applications of the relativistic mean-field theory to the structure of nuclei close to the drip-lines. For systems with extreme isospin values, the relativistic Hartree-Bogoliubov model provides a unified and self-consistent description of mean-field and pairing correlations. The model has been applied in studies of structure phenomena that include: formation of neutron skin and of neutron halos in light nuclei in the mass region above the s-d neutron shell, the strong isospin dependence of the effective spin-orbit interaction and the resulting modification of surface properties, the suppression of the spherical N = 28 shell gap for neutron-rich nuclei and the related phenomenon of deformation and shape coexistence, the proton drip-line in the spherical nuclei 14 ≤ Z ≤ 28, and ground-state proton radioactivity in the region of deformed nuclei 59 ≤ Z ≤ 69.

Two-neutron drip lines of a few single lambda hypernuclei

“…Since the hyperon's mass, strangeness and nuclear size-reduction effect cause changes in the nucleus, it is plausible to assume that neutron and proton drip lines in hypernuclei (S = −1, −2 or −3) will differ from those in non-strange nuclei (S = 0). The effect of a lambda hyperon on one-neutron and oneproton drip lines for single Λ hypernuclei was reported through a phenomenological binding energy model in [4,5] and through microscopic methods in [6][7][8][9]. A similar study was carried out for He and Li hypernuclei using the no-core-shell method [10].…”