The N=20 and N=28 "islands of inversion" are described by large scale shell model calculations with an extension of the interaction sdpf-u that makes it possible to mix configurations with different Nhw or equivalently with different number of particles promoted from the sd-shell to the pf-shell. It allows to connect the classical sd-shell calculations below N=18 with the sd(protons)-pf(neutrons) calculations beyond N=24-26, for all the isotopes from Oxygen to Calcium, using the same interaction. For some isotopes this range contains all the nuclei between the proton and the neutron drip lines and includes the N=20 and N=28 islands of inversion. We shall pay particular attention to the properties of the states at fix Nhw which turn out to be the real protagonists of the physics at N=20. The existence of islands of inversion/deformation will be explained as the result of the competition between the spherical mean field which favors the 0hw configurations and the nuclear correlations which favor the deformed Nhw configurations. The Magnesium chain is exceptional because in it, the N=20 and N=28 "islands of inversion" merge, enclosing all the isotopes between N=19 and N=30. Indeed, this would be also the case for the Neon and Sodium chains if their drip lines would reach N=28.

Merging of the islands of inversion at N =20 and N =28

https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/58281/1/PPNP_79_p1-.pdf

Recent development of complex scaling method for many-body resonances and continua in light nuclei

Cross sections of 1n-removal reactions from the neutron-rich nucleus Mg37 on C and Pb targets and the parallel momentum distributions of the Mg37 residues from the C target have been measured at 240  MeV/nucleon. A combined analysis of these distinct nuclear- and Coulomb-dominated reaction data shows that the Mg37 ground state has a small 1n separation energy of 0.22+0.12−0.09  MeV and an appreciable p-wave neutron single-particle strength. These results confirm that Mg37 lies near the edge of the “island of inversion” and has a sizable p-wave neutron halo component, the heaviest such system identified to date.

/pdf/observation-of-a-p-wave-one-neutron-halo-configuration-in-3enf6y4n2t.pdf

Observation of a p-Wave One-Neutron Halo Configuration in 37Mg

Exotic nuclei explored at in-flight separators

The complex scaling method (CSM) is a useful similarity transformation of the Schr\"odinger equation, in which bound-state spectra are not changed but continuum spectra are separated into resonant and non-resonant continuum ones. Because the asymptotic wave functions of the separated resonant states are regularized by the CSM, many-body resonances can be obtained by solving an eigenvalue problem with the $L^2$ basis functions. Applying this method to a system consisting of a core and valence nucleons, we investigate many-body resonant states in weakly bound nuclei very far from the stability lines. Non-resonant continuum states are also obtained with the discretized eigenvalues on the rotated branch cuts. Using these complex eigenvalues and eigenstates in CSM, we construct the extended completeness relations and Green's functions to calculate strength functions and breakup cross sections. Various kinds of theoretical calculations and comparisons with experimental data are presented.

/pdf/recent-development-of-complex-scaling-method-for-many-body-5cnw4zhyg0.pdf

Interaction cross sections for Ne isotopes towards the island of inversion and halo structures of 29Ne and 31Ne

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Interaction cross sections for Ne isotopes towards the island of inversion and halo structures of 29Ne and 31Ne