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

2013/07/08 by J. Li, J. X. Wei, J. N. Hu +2 · 1 citation
Physics and Astronomy · #nucl-th

paper · pdf · doi:10.1103/physrevc.88.064307

published as Phys. Rev. C 88, 064307 (2013) · 11 pages, 7 figures

arxiv created 2013/07/08 · arxiv updated 2013/12/09

Abstract

Using the relativistic point-coupling model with density functional PC-PK1, the magnetic moments of the nuclei ²⁰⁷Pb, ²⁰⁹Pb, ²⁰⁷Tl and ²⁰⁹Bi with a jj closed-shell core ²⁰⁸Pb 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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