Isoscalar giant monopole resonance for drip-line and super heavy nuclei in the framework of a relativistic mean field formalism with scaling calculation

TL;DR

This study investigates the isoscalar giant monopole resonance in drip-line and super heavy nuclei using a relativistic mean field model with scaling, revealing how excitation energies vary across isotopic chains and super heavy elements.

Contribution

It applies a relativistic mean field approach with scaling to analyze monopole resonances in both light and super heavy nuclei, extending previous models to predict behaviors near drip-lines and super heavy regions.

Findings

Monopole energy decreases toward drip-lines in lighter nuclei.

In super heavy nuclei, monopole energy decreases monotonically.

Maximum and minimum energies correspond to nuclei with minimum and maximum isospin.

Abstract

We study the isoscalar giant monopole resonance for drip-lines and super heavy nuclei in the frame work of a relativistic mean field theory with scaling approach. The well known extended Thomas-Fermi approximation in the non-linear $\sigma$-$\omega$ model is used to estimate the giant monopole excitation energy for some selected light spherical nuclei starting from the region of proton to neutron drip-lines. The application is extended to super heavy region for Z=114 and 120, which are predicted by several models as the next proton magic number beyond Z=82. We compared the excitation energy obtained by four successful force parameters NL1, NL3, NL3$^*$ and FSUGold. The monopole energy decreases toward the proton and neutron drip-lines in an isotopic chain for lighter mass nuclei contrary to a monotonous decrease for super heavy isotopes. The maximum and minimum monopole excitation energies are obtained for nuclei with minimum and maximum isospin, respectively in an isotopic chain.