The study of nuclear structure for some nuclei

Zahraa A. Abdul Muhsin

doi:10.30723/ijp.v16i36.30

Abstract

An analytical form of the ground state charge density distributionsfor the low mass fp shell nuclei ( 40  A  56 ) is derived from asimple method based on the use of the single particle wave functionsof the harmonic oscillator potential and the occupation numbers ofthe states, which are determined from the comparison between theoryand experiment.For investigating the inelastic longitudinal electron scattering formfactors, an expression for the transition charge density is studiedwhere the deformation in nuclear collective modes is taken intoconsideration besides the shell model space transition density. Thecore polarization transition density is evaluated by adopting theshape of Tassie model together with the derived form of the groundstate charge density distribution. In this work, we devote ourinvestigation on 0 3 2 3 1 1   transition of Ti 50 , 0 1 2 1 1 1   transitionof Cr 50 and 0 2 2 2 1 1   of Cr 52 nuclei. It is found that the corepolarization effects, which represent the collective modes, areessential for reproducing a remarkable agreement between thecalculated inelastic longitudinal C2 form factors and those ofexperimental data.

Highlights

IntroductionTransition densities and form factors are considered as fundamental characteristics of the nucleus
Charge density distributions, transition densities and form factors are considered as fundamental characteristics of the nucleus
The deformation in nuclear collective modes is taken into consideration by using the shape of Tassie model [5], that depends on the ground state charge density distributions (CDD)

Summary

Introduction

Transition densities and form factors are considered as fundamental characteristics of the nucleus. These quantities are usually determined experimentally from the scattering of high energy electrons by the nucleus. Core polarization effects can be treated either by connecting the ground state to the J-multipole n giant resonances [4], where the shape of the transition densities for these excitations is given by Tassie model [5] or by using a microscopic theory [6,7,8,9,10] which permits one particle-one hole (1p-1h) excitations of the core and of the model space to describe these longitudinal excitations. Comparisons between theoretical and observed longitudinal electron scattering form factors have long been used as stringent test of models of nuclear structure

Objectives

Conclusion