Quadrupole transitions of 10C and their isospin symmetry with 10Be

Abstract

We investigate the structures of 10C focusing on the quadrupole properties in comparison with the mirror nucleus 10Be. We describe 10C and 10Be in the variation of the multiple bases of the antisymmetrized molecular dynamics (AMD), in which the multiple AMD bases are optimized simultaneously in the total-energy variation. In the monopole transitions, we confirm the isospin symmetry between 10C and 10Be by exchanging protons and neutrons. In the quadrupole transitions, most cases show larger values in 10C than those of 10Be, except for the transition of 2+1 0+1. The transition of 2+1 0+1 shows similar values in the two nuclei in spite of the different proton numbers, which agrees with the experimental situation as an anomaly. This relation comes from the small proton deformation in 10C due to its subclosed nature and the large proton deformation in 10Be due to two-α clustering. This property can also be seen in the quadrupole moments of the two nuclei. In the neutron deformations of 10C and 10Be, the opposite tendency of protons is confirmed and these results ensure the isospin symmetry between the two nuclei. We also confirm the large quadrupole transitions between the elongated linear-chain states. It would be desirable for future experiments to investigate the present characteristics of the transitions in the two nuclei.

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