Quadrupole moments of exotic carbon isotopes (9C, 11C, 17C and 19C) including core polarization effect

Wael A Saeed A Saeed

doi:10.30723/ijp.v12i24.328

Abstract

Quadrupole Q moments and effective charges are calculated for 9C, 11C, 17C and 19C exotic nuclei using shell model calculations. Excitations out of major shell space are taken into account through a microscopic theory which are called core-polarization effects. The simple harmonic oscillator potential is used to generate the single particle matrix elements of 9,11,17,19C. The present calculations with core-polarization effects reproduced the experimental and theoretical data very well.

Highlights

Nuclei far from the stability lines open a new test ground for nuclear models
In the description of the halo nuclei it is important to take into account a model space for the core different from that of the halo neutrons which have to be treated separately in order to explain their properties. This assumption is supported by the fact that the valence neutrons are distributed in a spatial region which is much larger than the core
We study the properties of the ground states of C isotopes by performing shell model calculations

Summary

Introduction

Nuclei far from the stability lines open a new test ground for nuclear models. Recently, many experimental and theoretical efforts have been paid to study structure and reaction mechanism in nuclei near drip lines. Electromagnetic observables will provide useful information to study the structure of nuclei, ground states and excited states. These observables are expected to pin down precise information of deformations and unknown spin parities of both stable and unstable nuclei since the deformation is intimately related to observables such as Q moments and E2 transitions[4]. The role of the core and the truncated space can be taken into consideration through a microscopic theory, which allows one particleone hole (1p-1h) excitations of the core and of the model space to describe these Q properties These effects provide a more practical alternative for calculating nuclear collectivity. These effects are essential in describing transitions involving collective modes such as E2 transition between states in the ground-state rotational band, such as in 18O[14]

The aim of the present work

Ti Tz f Tf

Results and discussion

Conclusions