Properties of Zr isotopes near the neutron drip line and beyond it

The new neutron rich nuclei

“…It is worth noting that the stability peninsulas are formed for various Skyrme forces around the same neutron numbers. As we have already mentioned the stability restoration results from low-lying quasibound states, which immerse into the bound spectrum for higher N, see [4,5,6,7,8].…”

“…The calculations were performed using the HF+BCS approach with Skyrme forces accounting for deformations (DEF HF approach). In [4,5,6,7,8] it was shown that nuclei lying close to such peninsulas possess low-lying quasistable one-particle states. By adding neutrons one makes these levels dive into the discrete spectrum, thus stabilizing the isotope.…”

“…In DEF HF calculations we include only bound one particle states. In spite of ignoring the continuum states this method still provides a good agreement with the HFB, see [4,5,6,7,8]. Since all nuclei, which lie on the stability peninsulas are spherical we also use a spherical code (SPH HF) , which solves the HF equations directly rather than using a particular basis.…”

“…This method, however, implies a simple structure of the drip line, namely, that every line corresponding to a fixed number of protons on the nuclear chart crosses the neutron drip line only once. Yet, it might happen that the drip line has a more complicated structure [2,3,4,5,6,7,8,9,10,11]. In the vicinity of "magic" numbers or "quenched magic" numbers the following scenario can take place.…”

“…1. The analysis of the phenomenon of stability restoration through adding neutrons has been undertaken in [2,3,4,5,6,7,8,9,10,11], where long isotope rows of the elements Pb, Zr, Ar, Kr, Rn, Gd, Ba, S, U were considered. Thereby, the phenomenon of stability restoration through adding neutrons was in focus.…”