Gamow shell-model calculations of drip-line oxygen isotopes

Abstract

We employ the Gamow shell model (GSM) to describe low-lying states of the oxygen isotopes 24O and 25O. The many-body Schrodinger equation is solved starting from a two-body Hamiltonian defined by a renormalized low-momentum nucleon-nucleon (NN) interaction, and a spherical Berggren basis. The Berggren basis treats bound, resonant, and continuum states on an equal footing, and is therefore an appropriate representation of loosely bound and unbound nuclear states near threshold. We show that such a basis is necessary in order to obtain a detailed and correct description of the low-lying 1+ and 2+ excited states in 24O. On the other hand, we find that a correct description of binding energy systematics of the ground states is driven by proper treatment and inclusion of many-body correlation effects. This is supported by the fact that we get 25O unstable with respect to 24O in both oscillator and Berggren representations starting from a 22O core. Furthermore, we show that the structure of these loosely bound or unbound isotopes are strongly influenced by the 1S0 component of the NN interaction. This has important consequences for our understanding of nuclear stability.

5 pages, 3 figures

References in corpus (13)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Evolution of Nuclear Spectra with Nuclear Forces
• Shell Model in the Complex Energy Plane
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Accurate Nucleon-Nucleon Potential Based upon Chiral Perturbation Theory
• Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States
• Continuum Shell Model
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Density matrix renormalization group approach for many-body open quantum systems
• Gamow shell model and realistic nucleon-nucleon interactions
• Ab-initio computation of neutron-rich oxygen isotopes

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• Ab-initio approach to effective single-particle energies in doubly closed shell nuclei
• Chiral three-nucleon forces and bound excited states in neutron-rich oxygen isotopes
• Continuum effects in neutron-drip-line oxygen isotopes
• An {\it ab-initio} Gamow shell model approach with a core
• Emergence of the N=16 shell gap in 21O
• The roles of three-nucleon force and continuum coupling in mirror symmetry breaking of oxygen mass region
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• Chiral three-nucleon force and continuum for dripline nuclei and beyond
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• Neutron-rich calcium isotopes within realistic Gamow shell model calculations with continuum coupling
• Continuum and three-nucleon force in Borromean system: The 17Ne case
• Recent progress in configuration-interaction shell model
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• Search for excited states in ${}^{25}$O
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• Excited states in the neutron-rich nucleus 25F
• Effective interactions and operators in no-core shell model
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