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arXiv · 1307.2044

Relativistic description of magnetic moments in nuclei with doubly closed shells plus or minus one nucleon

J. Li·J. X. Wei·J. N. Hu·P. Ring·J. Meng
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Abstract

Using the relativistic point-coupling model with density functional PC-PK1, the magnetic moments of the nuclei $^{207}$Pb, $^{209}$Pb, $^{207}$Tl and $^{209}$Bi with a $jj$ closed-shell core $^{208}$Pb are studied on the basis of relativistic mean field (RMF) theory. The corresponding time-odd fields, the one-pion exchange currents, and the first- and second-order corrections are taken into account. The present relativistic results reproduce the data well. The relative deviation between theory and experiment for these four nuclei is 6.1% for the relativistic calculations and somewhat smaller than the value of 13.2% found in earlier non-relativistic investigations. It turns out that the $π$ meson is important for the description of magnetic moments, first by means of one-pion exchange currents and second by the residual interaction provided by the $π$ exchange.

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J. Li, J. X. Wei, J. N. Hu, P. Ring, J. Meng. 2013-07-08. Relativistic description of magnetic moments in nuclei with doubly closed shells plus or minus one nucleon. https://doi.org/10.1103/physrevc.88.064307

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