Density matrix renormalization group description of the island of inversion isotopes ${}^{28-33}$F

Abstract

Recent experiments have confirmed that the neutron-rich isotopes ${}^{28,29}$F belong to the so-called island of inversion (IOI), a region of the nuclear chart around $Z=10$ and $N=20$ where nuclear structure deviates from the standard shell model predictions due to deformation and continuum effects. However, while the general principles leading to the IOI are relatively well understood, the details of the low-lying structure of the exotic fluorine isotopes ${}^{28-33}$F are basically unknown. In this work, we perform large-scale shell model calculations including continuum states to investigate the properties of the neutron-rich isotopes ${}^{25-33}$F, using a core of ${}^{24}$O and an effective two-body interaction with only three adjustable parameters. We adjust the core potential and interaction on experimentally confirmed states in ${}^{25,26}$O and ${}^{25-27}$F and solve the many-body problem using the density matrix renormalization group method for open quantum systems in a $sd$-$fp$ model space. We obtain the first detailed spectroscopy of ${}^{25-33}$F in the continuum and show how the interplay between continuum effects and deformation explains the recent data on ${}^{28,29}$F, and produces an inversion of the ${5/2}^{+}$ and ${1/2}^{+}$ states in ${}^{29,31,33}$F. Several deformed one- and two-neutron halo states are predicted in ${}^{29,31}$F, and we predict the ground state of ${}^{30}$F to have a structure similar to that of the first ${5/2}^{+}$ state of ${}^{29}$F. We also suggest several experimental studies to constraint models and test the present predictions. The complex structure of neutron-rich fluorine isotopes offers a trove of information about the formation of the southern shore of the IOI through a subtle interplay of deformation and continuum couplings driven by the occupation of the quasi-degenerate neutron shells $0d_{3/2}$ and $1p_{3/2}$.

References in corpus (20)

• Nuclear magic numbers: new features far from stability
• Shell Model in the Complex Energy Plane
• Direct mass measurements of 19B, 22C, 29F, 31Ne, 34Na and other light exotic nuclei
• A two-neutron halo is unveiled in ${}^{29}$F
• Density matrix renormalization group approach for many-body open quantum systems
• Nilsson diagrams for light neutron-rich nuclei with weakly-bound neutrons
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Neutron shell structure and deformation in neutron-drip-line nuclei
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• Density matrix renormalization group and wave function factorization for nuclei
• Electric dipole response of low-lying excitations in the two-neutron halo nucleus ${}^{29}$F
• Spectroscopy of ${}^{26}$F to probe proton-neutron forces close to the drip line
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Exploring two-neutron halo formation in the ground-state of ${}^{29}$F within a three-body model
• The ${}^{29}$F nucleus as a lighthouse on the coast of the island of inversion
• Effective proton-neutron interaction near the drip line from unbound states in ${}^{25,26}$F
• Search for excited states in ${}^{25}$O
• Excited states in the neutron-rich nucleus 25F
• Role of quadrupole deformation and continuum effects in the "island of inversion'' nuclei ${}^{28,29,31}$F
• New concept for pairing anti-halo effect as a localized wave packet of quasi-particle

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• Collapse of the $N=28$ shell closure in the newly discovered ${}^{39}$Na and the development of deformed halos towards the neutron dripline
• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Perspectives on few-body cluster structures in exotic nuclei
• A Vision for the Science of Rare Isotopes
• Gamow shell model predictions for six-proton unbound nucleus ${}^{20}$Si