An investigation of ab initio shell-model interactions derived by no-core shell model

Wang, Xiaobao; Dong, G. X.; Li, Qingfeng; Chun-lin, Shen; Yu, Shicheng

doi:10.1007/s11433-016-0105-8

Sci. China Phys. Mech. Astron.

2016

DOI: 10.1007/s11433-016-0105-8

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An investigation of ab initio shell-model interactions derived by no-core shell model

Xiaobao Wang

G. X. Dong

Qingfeng Li

et al.

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“…Previously, we have studied [19][20][21][22] the systematics of the shell model effective interactions, and the effects of monopole components on the shell evolution. We have found that the three-body (3bd) force is essential for a good description of the neutron-rich oxygen isotopes, and that it involves a central force and an increased spin-orbit splitting [23].…”

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The structure of neutron-rich calcium isotopes studied by the shell model with realistic effective interactions *

Wang¹,

YuHang²,

Tu³

et al. 2019

Chinese Phys. C

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We study the structure of neutron-rich calcium isotopes in the shell model with realistic interactions. The CD-Bonn and Kuo-Brown (KB) interactions are used. As these interactions do not include the three-body force, their direct use leads to poor results. We tested whether the adjustment of the single particle energies (SPEs) would be sufficient to include the three-body correlations empirically. It turns out that the CD-Bonn interaction, after the adjustment of SPEs, gives good agreement with the experimental data for the energies and spectroscopy. For the KB interaction, both the SPEs and monopole terms require adjustments. Thus, the monopole problem is less serious for modern realistic interactions which include perturbations up to the third order. We also tested the effect of the non-central force on the shell structure. It is found that the effect of the tensor force in the CD-Bonn interaction is weaker than in the KB interaction.

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mentioning

confidence: 99%

The structure of neutron-rich calcium isotopes studied by the shell model with realistic effective interactions *

Wang¹,

YuHang²,

Tu³

et al. 2019

Chinese Phys. C

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Many-body correlations in shell model effective interactions derived by ab initio methods and the V _low-k approach

Wang¹,

Dong

Wang

et al. 2018

Chinese Phys. C

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We investigate many-body correlations caused by two-and three-body (2-, 3bd) forces. Shell-model effective interactions derived from ab initio methods (coupled-cluster method, no-core shell model) are adopted. V low-k potentials, based on many-body perturbation theory, are also tested, especially for their cut-off dependence. We compare the central, tensor and spin-orbit interactions from microscopic theory to the fitted interactions. After the inclusion of the three-body force, the matrix elements become fairly close to those fitted directly to experimental data. Calculations of neutron-rich oxygen isotopes are performed, to clarify the effects of 3bd forces, tensor, and spin-orbit interactions on the nuclear binding and excitation energies. We find that the 3bd force can influence the binding energies greatly, which also determines the drip line position, while its effect on excitation energies is not very pronounced. The spin-orbit force, which is part of the 2bd force, can affect the shell structure explicitly, at least for neutron-rich systems.

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Recent progress in configuration–interaction shell model

Liu,

Yuan

2023

Int. J. Mod. Phys. E

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Since Mayer and Jensen employed the single-particle shell model to interpret the magic numbers, various microscopic nuclear models have been developed to study the nuclear force and structure. The configuration–interaction shell model (CISM), performed in truncated model space with the inclusion of the residual interaction, is one widely-used nuclear structure model. In the last decade, CISM has progressed in investigating the cross-shell excitation in exotic light nuclei, the similarity and difference in mirror nuclei, and the isomerism and seniority conservation in medium and heavy nuclei. Additionally, researchers have attempted to construct effective Hamiltonians for nuclei near [Formula: see text]Sn and [Formula: see text]Pb through a unified way in the CISM framework. In parallel, related models, including the nucleon-pair approximation (NPA) approach, the Monte Carlo shell model (MCSM), the projected shell model (PSM), the Gamow shell model (GSM), etc., have also been extensively developed and validated in the last decade. This paper reviews the recent progress in CISM and some related models.

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An investigation of ab initio shell-model interactions derived by no-core shell model

Cited by 3 publications

References 41 publications

The structure of neutron-rich calcium isotopes studied by the shell model with realistic effective interactions *

The structure of neutron-rich calcium isotopes studied by the shell model with realistic effective interactions *

Many-body correlations in shell model effective interactions derived by ab initio methods and the V _low-k approach

Recent progress in configuration–interaction shell model

Contact Info

Product

Resources

About

An investigation of ab initio shell-model interactions derived by no-core shell model

Cited by 3 publications

References 41 publications

The structure of neutron-rich calcium isotopes studied by the shell model with realistic effective interactions *

The structure of neutron-rich calcium isotopes studied by the shell model with realistic effective interactions *

Many-body correlations in shell model effective interactions derived by ab initio methods and the V low-k approach

Recent progress in configuration–interaction shell model

Contact Info

Product

Resources

About

Many-body correlations in shell model effective interactions derived by ab initio methods and the V _low-k approach