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arxiv: 1208.6034 · v1 · pith:ZLTU6EYOnew · submitted 2012-08-29 · ⚛️ nucl-th

Quantum Monte Carlo calculations of magnetic moments and M1 transitions in A le 9 nuclei

classification ⚛️ nucl-th
keywords magneticmomentscurrentstransitionstwo-bodycalculationscarlocontributions
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We present Quantum Monte Carlo calculations of magnetic moments and M1 transitions in $A\le 9$ nuclei which take into account contributions of two-body electromagnetic currents. The Hamiltonian utilized to generate the nuclear wave functions includes the realistic Argonne-{\it v}$_{18}$ two-nucleon and the Illinois-7 three-nucleon interactions. The nuclear two-body electromagnetic currents are derived from a pionful chiral effective field theory including up to one-loop corrections. These currents involve unknown Low Energy Constants which have been fixed so as to reproduce a number of experimental data for the two- and three-nucleon systems, such as $np$ phase shifts and deuteron, triton, and $^3$He magnetic moments. This preliminary study shows that two-body contributions provide significant corrections which are crucial to bring the theory in agreement with the experimental data in both magnetic moments and M1 transitions.

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