Prediction of the excitation energies of the 2${}_1^{+}$ states for superheavy nuclei based on the microscopically derived Grodzins relation

Abstract

As the result of synthesis of nuclei with large proton numbers a new region of investigations of the structure of nuclei has been discovered. Due to the recent significant increase in the yield of superheavy nuclei their gamma-spectroscopic studies became possible. The purpose of paper is to predict the excitation energies of the $2_1^{+}$ states of nuclei with Z$\ge 100$ using the microscopic variant of the Grodzins relation derived based on the geometrical collective model. The excitation energies of the $2_1^{+}$ states of the even-even nuclei from ${}^{256}$Fm to ${}_{120}^{296}$X which differ from each other in the number of $\alpha$-particles are predicted. It is shown that at the beginning of the chain of the studied nuclei the excitation energies of the $2_1^{+}$ states don't exceed 100 keV. Then $E(2_1^{+})$ sharply increases with $A$ and reaches maximum value of $400-500$ keV in ${}^{284}$Fl or ${}^{292}$Og.

Comments: 7 pages, 2 figures