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

  • 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 Nmax 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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B. S. Hu, Q. Wu and F. R. Xu. Ab initio many-body perturbation theory and no-core shell model[J]. Chinese Physics C, 2017, 41(10): 104101. doi: 10.1088/1674-1137/41/10/104101
B. S. Hu, Q. Wu and F. R. Xu. Ab initio many-body perturbation theory and no-core shell model[J]. Chinese Physics C, 2017, 41(10): 104101.  doi: 10.1088/1674-1137/41/10/104101 shu
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Received: 2017-05-16
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    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)

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

  • 1. State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
Fund Project:  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)

Abstract: 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 Nmax 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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