Perturbation calculations of nucleon–nucleon effective interactions in the Hartree–Fock basis

Wu, Qiang; Fang, Xu; Hu, B.; Li, J G

doi:10.1088/1361-6471/ab0ef1

Cited by 7 publications

(11 citation statements)

References 51 publications

(205 reference statements)

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“…Using this method, we can avoid introducing the WS parameters in the Hamiltonian. The MBPT calculations performed within the GHF basis can provide a convergence of the same quality as that of nonperturbative approach [36,37]. In addition, many perturbation diagrams are canceled out within the GHF basis, but not within the WS basis [38,37,39].…”

Section: Introductionmentioning

confidence: 99%

An ab-initio Gamow shell model approach with a core

et al. 2020

Physics Letters B

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Gamow shell model (GSM) is usually performed within the Woods-Saxon (WS) basis in which the WS parameters need to be determined by fitting experimental single-particle energies including their resonance widths. In the multi-shell case, such a fit is difficult due to the lack of experimental data of cross-shell single-particle energies and widths. In this paper, we develop an abinitio GSM by introducing the Gamow Hartree-Fock (GHF) basis that is obtained using the same interaction as the one used in the construction of the shell-model Hamiltonian. GSM makes use of the complex-momentum Berggren representation, then including resonance and continuum components. Hence, GSM gives a good description of weakly bound and unbound nuclei. Starting from chiral effective field theory and employing many-body perturbation theory (MBPT) (called nondegenerateQ-box folded-diagram renormalization) in the GHF basis, a multi-shell Hamiltonian (sd-pf shells in this work) can be constructed. The single-particle energies and their resonance widths can also been obtained using MBPT. We investigated 23−28 O and 23−31 F isotopes, for which multi-shell calculations are necessary. Calculations show that continuum effects and the inclusion of the pf shell are important elements to understand the structure of nuclei close to and beyond driplines.

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Section: Introductionmentioning

confidence: 99%

An ab-initio Gamow shell model approach with a core

et al. 2020

Physics Letters B

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“…Along with GSM calculations done with the FHT and EFT interactions and experimental data, results issued from other theoretical calculations employing the HO basis, i.e. many-body perturbation theory method (MPBT) based on a bound Hartree-Fock (HF) basis in an sdpf cross-shell model space [37,38], and the in-medium similarity renormalization group (IM-SRG) method utilized in a sd or pf single-shell valence space (VS) [39,40], with bound HF basis states as well, are depicted. 25 F has been fixed to its experimental energy in all used models on Fig.(1).…”

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confidence: 99%

Two-neutron halo structure of F31

Michel

Fang

et al. 2020

Phys. Rev. C

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We apply the Gamow shell model to study 25−31 F isotopes. As both inter-nucleon correlations and continuum coupling are properly treated therein, the structure shape of 31 F at large distance can be analyzed precisely. For this, one-nucleon densities, root-mean square radii and correlation densities are calculated in neutron-rich fluorine isotopes. It is then suggested that 31 F exhibits a two-neutron halo structure, built from both continuum coupling and nucleon-nucleon correlations.

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“…Energies of 25−31 F with respect to the 24 O core, calculated within different theoretical frameworks and compared to experimental data [78]. Besides the GSM calculations using FHT and EFT interactions, calculations in the Hartree-Fock many-body perturbation theory (HF-MBPT) [88] and VS-IMSRG [84] frameworks, utilizing the harmonic-oscillator (HO) basis, hence being without continuum coupling, are presented (with permissions from Ref. [18]).…”

Section: G S M -F H T G S M -E F T H F -M B P T V S -I M S R Gmentioning

confidence: 99%

Recent Progress in Gamow Shell Model Calculations of Drip Line Nuclei

Michel

et al. 2021

Physics

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The Gamow shell model (GSM) is a powerful method for the description of the exotic properties of drip line nuclei. Internucleon correlations are included via a configuration interaction framework. Continuum coupling is directly included at basis level by using the Berggren basis, in which, bound, resonance, and continuum single-particle states are treated on an equal footing in the complex momentum plane. Two different types of Gamow shell models have been developed: its first embodiment is that of the GSM defined with phenomenological nuclear interactions, whereas the GSM using realistic nuclear interactions, called the realistic Gamow shell model, was introduced later. The present review focuses on the recent applications of the GSM to drip line nuclei.

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Perturbation calculations of nucleon–nucleon effective interactions in the Hartree–Fock basis

Cited by 7 publications

References 51 publications

An ab-initio Gamow shell model approach with a core

An ab-initio Gamow shell model approach with a core

Two-neutron halo structure of F31

Recent Progress in Gamow Shell Model Calculations of Drip Line Nuclei

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