Gamow Shell Model description of Li isotopes and their mirror partners

Abstract

Background: Weakly bound and unbound nuclei close to particle drip lines are laboratories of new nuclear structure physics at the extremes of neutron/proton excess. The comprehensive description of these systems requires an open quantum system framework that is capable of treating resonant and nonresonant many-body states on equal footing. Purpose: In this work, we construct the minimal complex-energy configuration interaction approach to describe binding energies and spectra of selected 5 $\le$ A $\le$ 11 nuclei. Method: We employ the complex-energy Gamow shell model (GSM) assuming a rigid ${}^4$He core. The effective Hamiltonian, consisting of a core-nucleon Woods-Saxon potential and a simplified version of the Furutani-Horiuchi-Tamagaki interaction with the mass-dependent scaling, is optimized in the sp space. To diagonalize the Hamiltonian matrix, we employ the Davidson method and the Density Matrix Renormalization Group technique. Results: Our optimized GSM Hamiltonian offers a good reproduction of binding energies and spectra with the root-mean-square (rms) deviation from experiment of 160 keV. Since the model performs well when used to predict known excitations that have not been included in the fit, it can serve as a reliable tool to describe poorly known states. A case in point is our prediction for the pair of unbound mirror nuclei ${}^{10}$Li-${}^{10}$N in which a huge Thomas-Ehrman shift dramatically alters the pattern of low-energy excitations. Conclusion: The new model will enable comprehensive studies of structure and reactions aspects of light drip-line nuclei.

arXiv comment11 pages, 3 figures

References in corpus (52)

• Effective Field Theory for Few-Nucleon Systems
• Coupled-cluster computations of atomic nuclei
• Microscopic Clustering in Light Nuclei
• Error Estimates of Theoretical Models: a Guide
• Shell Model in the Complex Energy Plane
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Unified ab initio approaches to nuclear structure and reactions
• Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States
• Shell Structure of Exotic Nuclei
• Narrow Resonances in Effective Field Theory
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Three-body monopole corrections to the realistic interactions
• Continuum Shell Model
• Ab initio description of the exotic unbound 7He nucleus
• Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}$Be?
• Theory of the two-proton radioactivity in the continuum shell model
• Density matrix renormalization group approach for many-body open quantum systems
• Generic strong coupling behavior of Cooper pairs in the surface of superfluid nuclei
• Gamow shell model and realistic nucleon-nucleon interactions
• From bound states to the continuum
• Can tetraneutron be a narrow resonance?
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Living on the edge of stability, the limits of the nuclear landscape
• Isospin mixing and the continuum coupling in weakly bound nuclei
• Ab initio no-core solutions for ${}^6$Li
• Continuum effects in neutron-drip-line oxygen isotopes
• Open problems in theory of nuclear open quantum systems
• First observation of unbound ${}^{11}$O, the mirror of the halo nucleus ${}^{11}$Li
• Reaction models to probe the structure of light exotic nuclei
• Convenient location of a near-threshold proton-emitting resonance in ${}^{11}$B
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Above threshold s-wave resonances illustrated by the 1/2${}^{+}$ states in ${}^9$Be and ${}^9$B
• Structures and decay properties of extremely proton-rich nuclei ${}^{11,12}$O
• Structure and three-body decay of ${}^9$Be resonances
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Energy Spectrum of Neutron-Rich Helium Isotopes: Complex Made Simple
• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• Antibound States and Halo Formation in the Gamow Shell Model
• Toward Scalable Many-Body Calculations for Nuclear Open Quantum Systems using the Gamow Shell Model
• Effective interactions for light nuclei: an effective (field theory) approach
• Description of proton-rich nuclei in the $A\sim 20$ region with the Gamow shell model
• Structure of the exotic ${}^9$He nucleus from the no-core shell model with continuum
• Structure of 10N in 9C+p resonance scattering
• Search for excited states in ${}^{25}$O
• Spectroscopy of 9C via resonance scattering of protons on 8B
• Shell-model interactions from chiral effective field theory
• A study of nuclei of astrophysical interest in the continuum shell model
• Investigating the 10Li continuum through 9Li(d,p)10Li reactions
• Application of an ab-initio S-matrix to data analysis of transfer to the continuum reactions populating 11Be
• Gamow Shell-Model Description of Weakly Bound and Unbound Nuclear States
• The 9Li(d,p) reaction, a specific probe of 10Li, paradigm of parity--inverted nuclei around N=6 closed shell

Cited by in corpus (8)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Proton decays in ${}^{16}$Ne and ${}^{18}$Mg and isospin-symmetry breaking in carbon isotopes and isotones
• Nucleon-nucleon correlations in the extreme oxygen isotopes
• Spectroscopic factors in dripline nuclei
• Calculation of the Thomas-Ehrman shift in ${}^{16}$F and ${}^{15}$O(p,p) cross section with the Gamow shell model
• Density matrix renormalization group description of the island of inversion isotopes ${}^{28-33}$F
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
• Complex-energy eigenvector continuation for nuclear many-body broad resonances