Deformation of Ne isotopes in the region of the island of inversion

Abstract

The deformation of Ne isotopes in the island-of-inversion region is determined by the doublefolding model with the Melbourne g-matrix and the density calculated by the antisymmetrized molecular dynamics (AMD). The double-folding model reproduces, with no adjustable parameter, the measured reaction cross sections for the scattering of 28−32 Ne from 12 C at 240MeV/nucleon. The quadrupole deformation thus determined is around 0.4 in the island-of-inversion region and 31 Ne is a halo nuclei with large deformation. We propose the Woods-Saxon model with a suitably chosen parameterization set and the deformation given by the AMD calculation as a convenient way of simulating the density calculated directly by the AMD. The deformed Woods-Saxon model provides the density with the proper asymptotic form. The pairing effect is investigated, and the importance of the angular momentum projection for obtaining the large deformation in the island-of-inversion region is pointed out.

New candidate for deformed halo nucleus in Mg isotopes through analysis of reaction cross sections

“…[3,4], the DFM was applied to the analysis of σ R for the scattering of Ne isotopes on 12 C at 240 MeV/nucleon as shown in Fig. 1 (b).…”

“…Although this approximation makes the double-folding potential spherical, it is quite good as shown in Ref. [4].…”

“…In the previous studies [3,4], the measured cross sections of Ne isotopes on a 12 C target at 240 MeV/nucleon have been analyzed by means of the double folding model (DFM) with the densities calculated by antisymmetrized molecular dynamics (AMD). This model is a fully microscopic framework for calculating σ R .…”

“…In particular for 31 Ne, the σ I is much larger than any other Ne isotopes that was measured. This remarkable behavior has stimulated many research activities [3][4][5][6].…”

Measurements of Interaction Cross Sections for 19–27F Isotopes

“…Owing to the very systematic and precise measurements of σ I and σ R at RIBF and also extensive theoretical studies, it is indicated that the cross section measurements can be considered not only as the tool to study the halo structures, but also the strong method to probe the gradual development of deformed structures in nuclei as a function of mass number from stable to the drip-line region [3][4][5][7][8][9][10]. In the present study, σ I of fluorine isotopes have been measured systematically from the stable nucleus 19 F to neutron-rich 27 F, the nucleus in the vicinity of the island-of-inversion region.…”