# Structural Properties of Finite and Infinite Nuclear Systems and Related Phenomena

## TL;DR

This thesis investigates nuclear structure properties, focusing on magic numbers in super-heavy nuclei, using theoretical models, and explores related phenomena like giant monopole resonances and meson effects.

## Contribution

It predicts new magic proton numbers in super-heavy nuclei and develops a novel constrained calculation method for giant monopole resonances.

## Key findings

- Predicted magic proton numbers as Z=114, 120, 126 with N=184.
- Developed a new constrained calculation method for ISGMR.
- Analyzed effects of delta meson on neutron systems.

## Abstract

In the present thesis, we have carried a thorough investigation of nuclear structure properties. We start our investigation from the study of the magic property of nucleus in the super -heavy region. We know the magic combination of proton and neutron in the light and medium heavy region. But in the super-heavy region, it is still unclear. We applied SEI (simple effective interaction ) and RMF (relativistic mean field ) formalism with a different parameter sets to predict the magic combinations and it turned out Z=114, 120, 126 with N=184. We have also studied theisoscalar giant monopole resonance energy of nucleus of Z=114, 120,126, with scaling and constrained method using RETF formalism. Isoscalar giant monopole resonance (ISGMR) is also known as the breathing mode. We have a developed a new constrained type calculation for the ISGMR and IVGDR. Effects of delta meson on the neutron system also discuses extensively.