A relativistic mean field study of even-even superheavy nuclei

The study of superheavy nuclei is an interesting topic for current days research work. The existence and the stability of superheavy nuclei against the large coulomb repulsion because of shell correction added to the liquid drop binding energy. The shell closure effect provides the existence of superheavy nuclei and also produces the magic numbers in superheavy mass region. On the basis of magic numbers we predict an island of stability for superheavy mass region which may indicate the existence of doubly spherical magic nucleus heavier than 208Pb. Various magic number have been produced in island of stability using different models as: Z = 114, N = 184, Z = 124 or 126, N = 184 and Z = 120, N = 172 or 184 which is model dependent. It is well known that the neutron to proton ratio N/Z is about 1 for light mass region and this value increases with mass number to neutralise the Coulomb repulsion. Superheavy is class of exotic nuclei with neutron to proton ratio N/Z on range 1.433 - 1.614 as observed experimentally. So the saturation nature of N/Z ∼ 1.5 tells the information about the formation of doubly closed shell superheavy nuclei