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

TL;DR

This paper predicts the excitation energies of the first 2+ states in superheavy nuclei with Z≥100 using a microscopic Grodzins relation, revealing a sharp increase in energies along the nuclear chain.

Contribution

It introduces a microscopic variant of the Grodzins relation based on the geometrical collective model to predict excitation energies of superheavy nuclei.

Findings

Excitation energies do not exceed 100 keV at the start of the chain.

E(2+_1) sharply increases with mass number A.

Maximum excitation energies reach 400-500 keV in specific nuclei.

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 $^{296}_{120}$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.