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We present a method based on mean-field states generated by triaxialquadrupole constraints which are projected on particle number and angularmomentum and mixed by the generator coordinate method on the quadrupole moment.This method is equivalent to a seven-dimensional GCM calculation, mixing allfive degrees of freedom of the quadrupole operator and the gauge angles forprotons and neutrons. A first application to Mg24 permits to analyze in detailthe effects of triaxial deformations and of K-mixing.

Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional