Structural and decay properties of nuclei appearing in the α-decay chains of 296,298,300,302,304120 within the relativistic mean field formalism

Abstract

An extensive study of [Formula: see text]-decay half-lives for various decay chains of isotopes of [Formula: see text] is performed within the axially deformed relativistic mean-field (RMF) formalism by employing the NL3, NL3[Formula: see text], and DD-ME2 parameter set. The structural properties of the nuclei appearing in the decay chains are explored. The binding energy, quadrupole deformation parameter, root-mean-square charge radius, and pairing energy are calculated for the even–even isotopes of [Formula: see text], which are produced in five different [Formula: see text]-decay chains, namely, [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text]. A superdeformed prolate ground state is observed for the heavier nuclei, and gradually the deformation decreases towards the lighter nuclei in the considered decay chains. The RMF results are compared with various theoretical predictions and experimental data. The [Formula: see text]-decay energies are calculated for each decay chain. To determine the relative numerical dependency of the half-life for a specific [Formula: see text]-decay energy, the decay half-lives are calculated using four different formulas, namely, Viola–Seaborg, Alex–Brown, Parkhomenko–Sobiczewski and Royer for the above said five [Formula: see text]-decay chain. We notice a firm dependency of the half-life on the [Formula: see text]-decay formula in terms of [Formula: see text]-values for all decay chains. Further, this study also strengthens the prediction for the island of stability in terms of magic number at the superheavy valley in the laboratories.

Exploring the ground state bulk and decay properties of the nuclei in superheavy island

“…With-Respect-To Mean deviation the graphs and also from the previous study [54] that the results obtained from NL3 * parameter set gives the reliable fit with the experimental data for known superheavy nuclei. Hence, it will be interesting and also crucial to extend the work for the unknown region from Z = 122 to 126 along with two different semi-empirical formulae namely; UDL and MUDL for the calculation of decay half-lives.…”

“…In our previous works and others, various relativistic parametrizations have been successfully applied to study the ground-state properties such as binding energy, separation energy, quadrupole deformation parameter, root − mean − square rms charge radii, α-decay energies, and the alpha decay half-lives of actinides and superheavy nuclei [38,40,43,54,56,60,78,82,90,91,92,93,94,95,96]. From these analyses, it is found that the results obtained from the NL3 * parameter set provide a reasonable fit to the experimental data.…”

“…From these analyses, it is found that the results obtained from the NL3 * parameter set provide a reasonable fit to the experimental data. Since experimental data is only available for nuclei up to Z = 118, so, we have further shown the Q−values for these nuclei being calculated by using the relativistic mean-field formalism with NL3 * parameter set [54] and references therein. The α-decay half-lives for these nuclei are calculated by using the four different semi-empirical formulae namely UDL, VSS, MUDL, and MBrown (will be discussed in the subsequent subsection).…”

“…The α-decay half-lives for these nuclei are calculated by using the four different semi-empirical formulae namely UDL, VSS, MUDL, and MBrown (will be discussed in the subsequent subsection). In our previous study also [54], we have investigated the Q−values and α-decay half-lives using NL3 * parameter set with four different formulae, namely, Viola-Seaborg, Alex-Brown, Parkhomenko-Sobiczewski, and Royer. The results for Q-values and α−decay half-lives are shown in Figs.…”

“…It is a challenging issue to understand the structural properties of the nuclei in the superheavy mass region and more helpful for understanding the concept of the "Island of stability" beyond the spherical doubly magic nucleus. The theoretical model that reproduces the experimental data for the structure and decay properties at the microscopic level, can be used to predict the α-decay half-lives of those nuclei for which their experimental data have not been reported yet [54]. Here our main aim is to determine the bulk and decay properties of the superheavy island with a microscopic model.…”