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Effective field theory approach to electroweak transitions of nuclei far from stability

M. A. Huertas
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Abstract

In a previous paper, the convergence of the effective field theory approach of Furnstahl, Serot and Tang to the nuclear many-body problem was studied by applying it to selected doubly-magic, and neighboring single-particle and single-hole, nuclei far from stability. The success of that approach, interpreted through density functional theory, would imply reliable densities. In this paper, the single-particle (Kohn-Sham) wave functions are probed using weak transitions near the Fermi surface. The weak currents are the Noether currents derived from the effective Lagrangian. The general single-particle transition matrix elements, from which any semi-leptonic weak rate can be calculated, are obtained in terms of upper and lower components of the Dirac wave functions. Here beta-decays in nuclei neighboring 132-Sn are studied and compared with available experimental data. Calibration of the theoretical results for such decays may also have useful application in element formation.

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M. A. Huertas. 2003-01-30. Effective field theory approach to electroweak transitions of nuclei far from stability. https://arxiv.org/abs/nucl-th/0301076

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