Ab initio many-body perturbation theory and no-core shell model

B. S. Hu; Q. Wu; F. R. Xu

doi:10.1088/1674-1137/41/10/104101

Ab initio many-body perturbation theory and no-core shell model

B. S. Hu, Q. Wu, F. R. Xu

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In many-body perturbation theory (MBPT) we always introduce a parameter N_shell to measure the maximal allowed major harmonic-oscillator (HO) shells for the single-particle basis, while the no-core shell model (NCSM) uses N_maxℏΩ HO excitation truncation above the lowest HO configuration for the many-body basis. It is worth comparing the two different methods. Starting from "bare" and Okubo-Lee-Suzuki renormalized modern nucleon-nucleon interactions, NNLO_opt and JISP16, we show that MBPT within Hartree-Fock bases is in reasonable agreement with NCSM within harmonic oscillator bases for ⁴He and ¹⁶O in "close" model space. In addition, we compare the results using "bare" force with the Okubo-Lee-Suzuki renormalized force.

Original language	English
Article number	104101
Journal	Chinese Physics C
Volume	41
Issue number	10
DOIs	https://doi.org/10.1088/1674-1137/41/10/104101
State	Published - Oct 2017
Externally published	Yes

Funding

Received 16 May 2017 ∗ Supported by National Key Basic Research Program of China (2013CB834402), National Natural Science Foundation of China (11235001, 11320101004, 11575007) and the CUSTIPEN (China-U.S. Theory Institute for Physics with Exotic Nuclei) funded by the U.S. Department of Energy, Office of Science (DE-SC0009971) 1) E-mail: [email protected] ©2017 Chinese Physical Society and the Institute of High Energy Physics Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd

Funders	Funder number
Chinese Physical Society
IOP Publishing Ltd
Institute of High Energy Physics Modern Physics
U.S. Department of Energy
Office of Science	DE-SC0009971
National Natural Science Foundation of China	11320101004, 11235001, 11575007
Chinese Academy of Sciences
National Key Research and Development Program of China	2013CB834402

Keywords

MBPT
NCSM
Okubo-Lee-Suzuki
nuclear force

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10.1088/1674-1137/41/10/104101

Cite this

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AU - Hu, B. S.

AU - Wu, Q.

AU - Xu, F. R.

N1 - Publisher Copyright: © 2017 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

PY - 2017/10

Y1 - 2017/10

N2 - In many-body perturbation theory (MBPT) we always introduce a parameter Nshell to measure the maximal allowed major harmonic-oscillator (HO) shells for the single-particle basis, while the no-core shell model (NCSM) uses NmaxℏΩ HO excitation truncation above the lowest HO configuration for the many-body basis. It is worth comparing the two different methods. Starting from "bare" and Okubo-Lee-Suzuki renormalized modern nucleon-nucleon interactions, NNLOopt and JISP16, we show that MBPT within Hartree-Fock bases is in reasonable agreement with NCSM within harmonic oscillator bases for 4He and 16O in "close" model space. In addition, we compare the results using "bare" force with the Okubo-Lee-Suzuki renormalized force.

AB - In many-body perturbation theory (MBPT) we always introduce a parameter Nshell to measure the maximal allowed major harmonic-oscillator (HO) shells for the single-particle basis, while the no-core shell model (NCSM) uses NmaxℏΩ HO excitation truncation above the lowest HO configuration for the many-body basis. It is worth comparing the two different methods. Starting from "bare" and Okubo-Lee-Suzuki renormalized modern nucleon-nucleon interactions, NNLOopt and JISP16, we show that MBPT within Hartree-Fock bases is in reasonable agreement with NCSM within harmonic oscillator bases for 4He and 16O in "close" model space. In addition, we compare the results using "bare" force with the Okubo-Lee-Suzuki renormalized force.

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KW - NCSM

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KW - nuclear force

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Ab initio many-body perturbation theory and no-core shell model

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