Quadrupole moments of odd-odd near-magic nuclei

D Voitenkov,O Achakovskiy,S Tolokonnikov,S Kamerdzhiev

doi:10.1051/epjconf/20123817012

Abstract

Ground state quadrupole moments of odd-odd near double magic nuclei are calculated in the approximation of no interaction between odd particles. Under such a simple approximation, the problem is reduced to the calculations of quadrupole moments of corresponding odd-even nuclei. These calculations are performed within the self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. with the known DF3-a parameters. A reasonable agreement with the available experimental data has been obtained for odd-odd nuclei and odd near-magic nuclei investigated. The self-consistent approach under consideration allowed us to predict the unknown quadrupole moments of odd-even and odd-odd nuclei near the double-magic $^{56,78}$Ni, $^{100,132}$Sn ones.

Highlights

One of the challenging goals of modern nuclear theory is to elaborate the approaches which would enable to predict the characteristics of unstable nuclei
Ground state quadrupole moments of odd-odd near-double-magic nuclei are calculated in the approximation of non-interacting odd neutron and odd proton
These calculations are performed within the self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al with the known DF3-a parameters

Summary

Introduction

One of the challenging goals of modern nuclear theory is to elaborate the approaches which would enable to predict the characteristics of unstable nuclei. A good description of the ground state quadrupole [3, 4] and magnetic[5] moments of odd nearand semi-magic nuclei has been obtained within this selfconsistent approach where the “single quasi-particle approximation” developed in the framework of the standard TFFS [6] was used. This approximation means that one quasi-particle with the local charge eq is added to the eveneven core and the core is polarized due to the LandauMigdal (LM) interaction between the particle considered and the core nucleons. As we will see, such a simple approximation allows us to check this approximation rather successfully in a pure phenomenological way

Quadrupole moments of odd and odd-odd near-magic nuclei

Phenomenological approach

Self-consistent calculations

Odd near-magic nuclei

Odd-odd near-magic nuclei

Conclusion