Implementation of Local Chiral Interactions in the Hyperspherical Harmonics Formalism

Simone Salvatore Li Muli; Sonia Bacca; Nir Barnea

doi:10.3389/fphy.2021.671869

Implementation of Local Chiral Interactions in the Hyperspherical Harmonics Formalism

Simone Salvatore Li Muli^*, Sonia Bacca, Nir Barnea

^*Corresponding author for this work

Racah Institute of Physics

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

2 Scopus citations

Abstract

With the goal of using chiral interactions at various orders to explore the properties of the few-body nuclear systems, we write the recently developed local chiral interactions as spherical irreducible tensors and implement them in the hyperspherical harmonics expansion method. We devote particular attention to three-body forces at next-to-next-to leading order, which play an important role in reproducing experimental data. We check our implementation by benchmarking the ground-state properties of ³H, ³He, and ⁴He against the available Monte Carlo calculations. We then confirm their order-by-order truncation error estimates and further investigate uncertainties in the charge radii obtained by using the precise muonic atom data for single-nucleon radii. Having local chiral Hamiltonians at various orders implemented in our hyperspherical harmonics suites of codes opens up the possibility to test such interactions on other light-nuclei properties, such as electromagnetic reactions.

Original language	American English
Article number	671869
Journal	Frontiers in Physics
Volume	9
DOIs	https://doi.org/10.3389/fphy.2021.671869
State	Published - 24 May 2021

Bibliographical note

Funding Information:
SSL and SB would like to acknowledge Joel Lynn, Ingo Tews, and Diego Lonardoni for useful discussions. Funding. This work was supported by the Deutsche Forschungsgemeinschaft (DFG) through the Collaborative Research Center [The Low-Energy Frontier of the Standard Model (SFB 1044)], and through the Cluster of Excellence Precision Physics, Fundamental Interactions, and Structure of Matter (PRISMA+ EXC 2118/1) funded by the DFG within the German Excellence Strategy (Project ID 39083149). Calculations were performed on the mogon2 cluster in Mainz.

Funding Information:
This work was supported by the Deutsche Forschungsgemeinschaft (DFG) through the Collaborative Research Center [The Low-Energy Frontier of the Standard Model (SFB 1044)], and through the Cluster of Excellence Precision Physics, Fundamental Interactions, and Structure of Matter (PRISMA+EXC 2118/1) funded by the DFG within the German Excellence Strategy (Project ID 39083149), and by the Israel Science Foundation (grant 1308/16). Calculations were performed on the mogon2 cluster in Mainz.

Publisher Copyright:
© Copyright © 2021 Li Muli, Bacca and Barnea.

Keywords

ab-initio theory
chiral effective field theory
hyperspherical harmonics
light nuclei
nuclear interactions

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10.3389/fphy.2021.671869

Cite this

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title = "Implementation of Local Chiral Interactions in the Hyperspherical Harmonics Formalism",

abstract = "With the goal of using chiral interactions at various orders to explore the properties of the few-body nuclear systems, we write the recently developed local chiral interactions as spherical irreducible tensors and implement them in the hyperspherical harmonics expansion method. We devote particular attention to three-body forces at next-to-next-to leading order, which play an important role in reproducing experimental data. We check our implementation by benchmarking the ground-state properties of 3H, 3He, and 4He against the available Monte Carlo calculations. We then confirm their order-by-order truncation error estimates and further investigate uncertainties in the charge radii obtained by using the precise muonic atom data for single-nucleon radii. Having local chiral Hamiltonians at various orders implemented in our hyperspherical harmonics suites of codes opens up the possibility to test such interactions on other light-nuclei properties, such as electromagnetic reactions.",

keywords = "ab-initio theory, chiral effective field theory, hyperspherical harmonics, light nuclei, nuclear interactions",

author = "{Li Muli}, {Simone Salvatore} and Sonia Bacca and Nir Barnea",

note = "Funding Information: SSL and SB would like to acknowledge Joel Lynn, Ingo Tews, and Diego Lonardoni for useful discussions. Funding. This work was supported by the Deutsche Forschungsgemeinschaft (DFG) through the Collaborative Research Center [The Low-Energy Frontier of the Standard Model (SFB 1044)], and through the Cluster of Excellence Precision Physics, Fundamental Interactions, and Structure of Matter (PRISMA+ EXC 2118/1) funded by the DFG within the German Excellence Strategy (Project ID 39083149). Calculations were performed on the mogon2 cluster in Mainz. Funding Information: This work was supported by the Deutsche Forschungsgemeinschaft (DFG) through the Collaborative Research Center [The Low-Energy Frontier of the Standard Model (SFB 1044)], and through the Cluster of Excellence Precision Physics, Fundamental Interactions, and Structure of Matter (PRISMA+EXC 2118/1) funded by the DFG within the German Excellence Strategy (Project ID 39083149), and by the Israel Science Foundation (grant 1308/16). Calculations were performed on the mogon2 cluster in Mainz. Publisher Copyright: {\textcopyright} Copyright {\textcopyright} 2021 Li Muli, Bacca and Barnea.",

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N1 - Funding Information: SSL and SB would like to acknowledge Joel Lynn, Ingo Tews, and Diego Lonardoni for useful discussions. Funding. This work was supported by the Deutsche Forschungsgemeinschaft (DFG) through the Collaborative Research Center [The Low-Energy Frontier of the Standard Model (SFB 1044)], and through the Cluster of Excellence Precision Physics, Fundamental Interactions, and Structure of Matter (PRISMA+ EXC 2118/1) funded by the DFG within the German Excellence Strategy (Project ID 39083149). Calculations were performed on the mogon2 cluster in Mainz. Funding Information: This work was supported by the Deutsche Forschungsgemeinschaft (DFG) through the Collaborative Research Center [The Low-Energy Frontier of the Standard Model (SFB 1044)], and through the Cluster of Excellence Precision Physics, Fundamental Interactions, and Structure of Matter (PRISMA+EXC 2118/1) funded by the DFG within the German Excellence Strategy (Project ID 39083149), and by the Israel Science Foundation (grant 1308/16). Calculations were performed on the mogon2 cluster in Mainz. Publisher Copyright: © Copyright © 2021 Li Muli, Bacca and Barnea.

PY - 2021/5/24

Y1 - 2021/5/24

N2 - With the goal of using chiral interactions at various orders to explore the properties of the few-body nuclear systems, we write the recently developed local chiral interactions as spherical irreducible tensors and implement them in the hyperspherical harmonics expansion method. We devote particular attention to three-body forces at next-to-next-to leading order, which play an important role in reproducing experimental data. We check our implementation by benchmarking the ground-state properties of 3H, 3He, and 4He against the available Monte Carlo calculations. We then confirm their order-by-order truncation error estimates and further investigate uncertainties in the charge radii obtained by using the precise muonic atom data for single-nucleon radii. Having local chiral Hamiltonians at various orders implemented in our hyperspherical harmonics suites of codes opens up the possibility to test such interactions on other light-nuclei properties, such as electromagnetic reactions.

AB - With the goal of using chiral interactions at various orders to explore the properties of the few-body nuclear systems, we write the recently developed local chiral interactions as spherical irreducible tensors and implement them in the hyperspherical harmonics expansion method. We devote particular attention to three-body forces at next-to-next-to leading order, which play an important role in reproducing experimental data. We check our implementation by benchmarking the ground-state properties of 3H, 3He, and 4He against the available Monte Carlo calculations. We then confirm their order-by-order truncation error estimates and further investigate uncertainties in the charge radii obtained by using the precise muonic atom data for single-nucleon radii. Having local chiral Hamiltonians at various orders implemented in our hyperspherical harmonics suites of codes opens up the possibility to test such interactions on other light-nuclei properties, such as electromagnetic reactions.

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KW - chiral effective field theory

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KW - nuclear interactions

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JF - Frontiers in Physics

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ER -

Implementation of Local Chiral Interactions in the Hyperspherical Harmonics Formalism

Abstract

Bibliographical note

Keywords

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