Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces.

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Title: Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces.
Authors: Liu, Jun1 (AUTHOR), Wang, Teng2 (AUTHOR), Lu, Bing-Nan1 (AUTHOR) bnlv@gscaep.ac.cn
Source: European Physical Journal A -- Hadrons & Nuclei. Apr2025, Vol. 61 Issue 4, p1-19. 19p.
Subjects: Nuclear structure, Many-body problem, Binding energy, Symmetry, Algorithms
Abstract: Quantum Monte Carlo (QMC) is a family of powerful tools for addressing quantum many-body problems. However, its applications are often plagued by the fermionic sign problem. A promising strategy is to simulate an interaction without sign problem as the zeroth order and treat the other pieces as perturbations. According to this scheme, we construct precision nuclear chiral forces on the lattice and make perturbative calculations around a sign-problem-free interaction respecting the Wigner-SU4 symmetry. We employ the recently developed perturbative QMC (ptQMC) method to calculate the perturbative energies up to the second order. This work presents the first ptQMC calculations for two-body next-to-next-to-next-to leading order ( N 3 LO) chiral forces and elucidates how the hierarchical nature of the chiral interactions helps organize and simplify the ptQMC calculations. We benchmark the algorithm for the deuteron, where exact solutions serve as rigorous reference points. We also reproduce the famous Tjon line by correlating the perturbative 4 He binding energies with the non-perturbative 3 H binding energies. These comprehensive demonstrations underscore the efficacy of ptQMC in resolving high-fidelity nuclear interactions, establishing its potential as a robust tool for ab initio nuclear structure studies. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal A -- Hadrons & Nuclei is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces.
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Liu%2C+Jun%22">Liu, Jun</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Teng%22">Wang, Teng</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lu%2C+Bing-Nan%22">Lu, Bing-Nan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> bnlv@gscaep.ac.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+A+--+Hadrons+%26+Nuclei%22">European Physical Journal A -- Hadrons & Nuclei</searchLink>. Apr2025, Vol. 61 Issue 4, p1-19. 19p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Nuclear+structure%22">Nuclear structure</searchLink><br /><searchLink fieldCode="DE" term="%22Many-body+problem%22">Many-body problem</searchLink><br /><searchLink fieldCode="DE" term="%22Binding+energy%22">Binding energy</searchLink><br /><searchLink fieldCode="DE" term="%22Symmetry%22">Symmetry</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Quantum Monte Carlo (QMC) is a family of powerful tools for addressing quantum many-body problems. However, its applications are often plagued by the fermionic sign problem. A promising strategy is to simulate an interaction without sign problem as the zeroth order and treat the other pieces as perturbations. According to this scheme, we construct precision nuclear chiral forces on the lattice and make perturbative calculations around a sign-problem-free interaction respecting the Wigner-SU4 symmetry. We employ the recently developed perturbative QMC (ptQMC) method to calculate the perturbative energies up to the second order. This work presents the first ptQMC calculations for two-body next-to-next-to-next-to leading order ( N 3 LO) chiral forces and elucidates how the hierarchical nature of the chiral interactions helps organize and simplify the ptQMC calculations. We benchmark the algorithm for the deuteron, where exact solutions serve as rigorous reference points. We also reproduce the famous Tjon line by correlating the perturbative 4 He binding energies with the non-perturbative 3 H binding energies. These comprehensive demonstrations underscore the efficacy of ptQMC in resolving high-fidelity nuclear interactions, establishing its potential as a robust tool for ab initio nuclear structure studies. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal A -- Hadrons & Nuclei is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1140/epja/s10050-025-01568-8
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 19
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    Subjects:
      – SubjectFull: Nuclear structure
        Type: general
      – SubjectFull: Many-body problem
        Type: general
      – SubjectFull: Binding energy
        Type: general
      – SubjectFull: Symmetry
        Type: general
      – SubjectFull: Algorithms
        Type: general
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      – TitleFull: Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces.
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            NameFull: Liu, Jun
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            NameFull: Wang, Teng
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            NameFull: Lu, Bing-Nan
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            – D: 01
              M: 04
              Text: Apr2025
              Type: published
              Y: 2025
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              Value: 61
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            – TitleFull: European Physical Journal A -- Hadrons & Nuclei
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