Antibound States and Halo Formation in the Gamow Shell Model

Abstract

The open quantum system formulation of the nuclear shell model, the so-called Gamow Shell Model (GSM), is a multi-configurational SM that employs a single-particle basis given by the Berggren ensemble consisting of Gamow states and the non-resonant continuum of scattering states. The GSM is of particular importance for weakly bound/unbound nuclear states where both many-body correlations and the coupling to decay channels are essential. In this context, we investigate the role of l=0 antibound (virtual) neutron single-particle states in the shell model description of loosely bound wave functions, such as the ground state wave function of a halo nucleus 11Li.

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Cited by in corpus (14)

• Shell Model in the Complex Energy Plane
• Roles of the tensor and pairing correlations on the halo formation in 11Li
• First observation of unbound ${}^{11}$O, the mirror of the halo nucleus ${}^{11}$Li
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Structures and decay properties of extremely proton-rich nuclei ${}^{11,12}$O
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• The rigged Hilbert space approach to the Gamow states
• Gamow Shell Model description of Li isotopes and their mirror partners
• Complex energy approaches for calculating isobaric analogue states
• The resonance amplitude associated with the Gamow states
• Bound states of dipolar molecules studied with the Berggren expansion method
• Analysis of the unbound spectrum of ${}^{12}$Li
• Resonant spectra of multipole-bound anions
• The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries