Hyperfine Anomaly in Eu Isotopes and the Universiability of the Moskowitz–Lombardi Formula

Jonas R Persson

doi:10.3390/atoms8010005

Abstract

A method for determining the hyperfine anomaly, without using the nuclear magnetic moments, is used on a series of unstable isotopes of Eu. The large number of experimental data in Eu makes it possible to extract the hyperfine anomaly for a number of unstable isotopes. Calculations of the Bohr–Weisskopf effect and hence the hyperfine anomaly are performed using the particle-rotor formalism. The result from the calculations and experiments is compared with other theoretical calculations and the empirical Moskowitz–Lombardi formula. The results show that the Moskowitz–Lombardi formula is not universal.

Highlights

IntroductionThe study of hyperfine structure (hfs) in atoms has provided information of the electromagnetic moments of the nucleus, as well as information on the electronic properties’ of atoms [1,2]
The study of hyperfine structure in atoms has provided information of the electromagnetic moments of the nucleus, as well as information on the electronic properties’ of atoms [1,2].The magnetic hfs has in addition proven to give information on the distribution of magnetization in the nucleus through the so called Bohr–Weisskopf effect (BW effect) [3,4,5]
They calculated the hyperfine interaction of s1/2 and p1/2 electrons in the field of an extended nucleus and showed that the magnetic dipole hyperfine interaction constant (A) for an extended nucleus is generally smaller than that expected for a point nucleus

Summary

Introduction

The study of hyperfine structure (hfs) in atoms has provided information of the electromagnetic moments of the nucleus, as well as information on the electronic properties’ of atoms [1,2]. One is led to the conclusion that one needs independent measurements of the nuclear magnetic moments and the A constants in order to obtain the hfa; this is not true It has been shown by Persson [13] that it is possible to extract the anomaly solely from the A constants of two different atomic levels, provided the ratio AAs differs substantially for the different levels. The uncertainty in this value originates mainly from the nuclear magnetic dipole moment measurements [16] The hfs in this state is not entirely due to contact interaction, but has a small non-contact interaction, as can be deduced from the experimental g J factor. A calculation of the hyperfine anomaly using the particle-rotor model is presented

Hyperfine Anomaly in Unstable Eu Isotopes

Calculations of the Hyperfine Anomaly

Findings

Conclusions