Mirror symmetry breaking in He isotopes and their mirror nuclei

Abstract

We study the mirror symmetry breaking of 6He–6Be and 8He–8C using the 4He+XN(X=2,4) cluster model. The many-body resonances are treated for the correct boundary condition using the complex scaling method. We find that the ground state radius of 8C is larger than that of 8He due to the Coulomb repulsion in 8C. On the other hand, the 0+2 resonances of the two nuclei exhibit the inverse relation; the 8C radius is smaller than the 8He radius. This is due to the Coulomb barrier of the valence protons around the 4He cluster core in 8C, which breaks the mirror symmetry of the radius in the two nuclei. A similar variation in the radius is obtained in the mirror nuclei, 6He and 6Be. A very large spatial extension of valence nucleons is observed in the 0+2 states of 8He and 8C. This property is related to the dominance of the (p3/2)2(p1/2)2 configuration for four valence nucleons, which is understood from the reduction in the strength of the couplings to other configurations by involving the spatially extended components of valence nucleons.

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