Electric and Magnetic Moments and Transition Probabilities in $^{208}$Pb $\pm 1$ Nuclei

TL;DR

This paper calculates electromagnetic moments and transition probabilities in neighboring odd-mass nuclei of $^{208}$Pb using self-consistent methods, achieving good agreement with experimental data and exploring the effects of polarization and many-body corrections.

Contribution

It introduces a fully self-consistent calculation approach for moments and transition probabilities in $^{208}$Pb neighbors, incorporating polarization corrections and mesonic effects.

Findings

Electric moments agree well with experimental data.

Magnetic moments show similar agreement, with some discrepancies.

Modified operators improve the description of $M1$ transitions.

Abstract

We present moments and transition probabilities in the neighboring odd-mass nuclei of $^{208}$Pb calculated fully self-consistently from the s.p. properties of $^{208}$Pb with polarization corrections from its excitations, both given from previous Skyrme-Hartree-Fock and RPA calculations. The electric results agree nicely with the data with two very interesting exceptions. In the magnetic case we obtain similar results. We discuss also polarization contributions to the $l$-forbidden $M1$ transitions, which are, however, much too small compared to the data. With a modified external field operator which accounts effectively for mesonic and many-body effects the description of the data can be substantially improved.