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Deformed Gaussian orthogonal ensemble description of isospin mixing and spectral fluctuation properties

Deformed Gaussian orthogonal ensemble description of isospin mixing and spectral fluctuation properties

An analysis of isospin symmetry breaking in the case of pure spectral observables is made within the recently developed deformed Gaussian orthogonal ensemble. The low-energy spectrum of $^{26}\mathrm{Al}$ recently studied by Mitchell et al. is used to perform the analysis. Both the spacing and eigenvector distributions are considered. The value …