Relativistic mean field study of the properties of Z=117 nucleus and the decay chains of ${}^{293,294}$117 isotopes

Abstract

We have calculated the binding energy, root-mean-square radius and quadrupole deformation parameter for the recently synthesized superheavy element Z=117, using the axially deformed relativistic mean field (RMF) model. The calculation is extended to various isotopes of Z=117 element, strarting from A=286 till A=310. We predict almost spherical structures in the ground state for almost all the isotopes. A shape transition appears at about A=292 from prolate to a oblate shape structures of Z=117 nucleus in our mean field approach. The most stable isotope (largest binding energy per nucleon) is found to be the ${}^{288}$117 nucleus. Also, the Q-value of $\alpha$-decay $Q_{\alpha }$ and the half-lives $T_{\alpha }$ are calculated for the $\alpha$-decay chains of ${}^{293}$117 and ${}^{294}$117, supporting the magic numbers at N=172 and/ or 184.

arXiv comment6 Pages and 8 Figures

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