Mirror symmetry breaking in He isotopes and their mirror nuclei

Abstract

We study the mirror symmetry breaking of ${}^6$He-${}^6$Be and ${}^8$He-${}^8$C using the ${}^4$He + $X$N ($X$=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 ${}^8$C is larger than that of ${}^8$He due to the Coulomb repulsion in ${}^8$C. On the other hand, the $0_2^{+}$ resonances of the two nuclei exhibit the inverse relation; the ${}^8$C radius is smaller than the ${}^8$He radius. This is due to the Coulomb barrier of the valence protons around the ${}^4$He cluster core in ${}^8$C, which breaks the mirror symmetry of the radius in the two nuclei. A similar variation in the radius is obtained in the mirror nuclei, ${}^6$He and ${}^6$Be. A very large spatial extension of valence nucleons is observed in the $0_2^{+}$ states of ${}^8$He and ${}^8$C. This property is related to the dominance of the $(p_{3/2}{)}^2(p_{1/2}{)}^2$ 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.

arXiv comment9 pages, 5 figures

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Cited by in corpus (8)

• Complex scaling : physics of unbound light nuclei and perspective
• Possible interpretation of the complex expectation values associated with resonances
• Five-body resonances in ${}^8$He and ${}^8$C using the complex scaling method
• Effects of the Coulomb interaction on parameters of resonance states in mirror three-cluster nuclei
• Soft dipole resonance in neutron-rich ${}^8$He
• Soft dipole resonance in ${}^8$C and its isospin symmetry with ${}^8$He
• Radii of proton emitters
• Physics of many-body resonances with complex scaling and applications to light unstable nuclei