Unified description of 6Li structure and deuterium-4He dynamics with chiral two- and three-nucleon forces

Hupin, Guillaume; Quaglioni, Sofia; Navratil, Petr

doi:10.1103/PhysRevLett.114.212502

Title: Unified description of ⁶Li structure and deuterium-⁴He dynamics with chiral two- and three-nucleon forces

Abstract

Here, we provide a unified ab initio description of the ⁶Li ground state and elastic scattering of deuterium (d) on ⁴He (α) using two- and three-nucleon forces from chiral effective field theory. We analyze the influence of the three-nucleon force and reveal the role of continuum degrees of freedom in shaping the low-lying spectrum of ⁶Li. The calculation reproduces the empirical binding energy of ⁶Li, yielding an asymptotic D- to S-state ratio of the ⁶Li wave function in the d+α configuration of –0.027, in agreement with a determination from ⁶Li–⁴He elastic scattering, but overestimates the excitation energy of the 3⁺ state by 350 keV. The bulk of the computed differential cross section is in good agreement with data. These results endorse the application of the present approach to the evaluation of the²H(α,γ)⁶Li radiative capture, responsible for the big-bang nucleosynthesis of ⁶Li.

Authors:

Hupin, Guillaume ^[1]; Quaglioni, Sofia ^[1]; Navratil, Petr ^[2]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
TRIUMF, Vancouver, BC (Canada)

Publication Date:: Fri May 29 00:00:00 EDT 2015

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1252618

Alternate Identifier(s):: OSTI ID: 1193890

Report Number(s):: LLNL-JRNL-665027
Journal ID: ISSN 0031-9007; PRLTAO

Grant/Contract Number:: AC52-07NA27344; SCW1158

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 114; Journal Issue: 21; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Hupin, Guillaume, Quaglioni, Sofia, and Navratil, Petr. Unified description of 6Li structure and deuterium-4He dynamics with chiral two- and three-nucleon forces.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevLett.114.212502.

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                    Hupin, Guillaume, Quaglioni, Sofia, & Navratil, Petr. Unified description of 6Li structure and deuterium-4He dynamics with chiral two- and three-nucleon forces.  United States.  https://doi.org/10.1103/PhysRevLett.114.212502

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                    Hupin, Guillaume, Quaglioni, Sofia, and Navratil, Petr. Fri .  
"Unified description of 6Li structure and deuterium-4He dynamics with chiral two- and three-nucleon forces".  United States.  https://doi.org/10.1103/PhysRevLett.114.212502.  https://www.osti.gov/servlets/purl/1252618.

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@article{osti_1252618,

  title        = {Unified description of 6Li structure and deuterium-4He dynamics with chiral two- and three-nucleon forces},

  author       = {Hupin, Guillaume and Quaglioni, Sofia and Navratil, Petr},

  abstractNote = {Here, we provide a unified ab initio description of the 6Li ground state and elastic scattering of deuterium (d) on 4He (α) using two- and three-nucleon forces from chiral effective field theory. We analyze the influence of the three-nucleon force and reveal the role of continuum degrees of freedom in shaping the low-lying spectrum of 6Li. The calculation reproduces the empirical binding energy of 6Li, yielding an asymptotic D- to S-state ratio of the 6Li wave function in the d+α configuration of –0.027, in agreement with a determination from 6Li–4He elastic scattering, but overestimates the excitation energy of the 3+ state by 350 keV. The bulk of the computed differential cross section is in good agreement with data. These results endorse the application of the present approach to the evaluation of the 2H(α,γ)6Li radiative capture, responsible for the big-bang nucleosynthesis of 6Li.},

  doi          = {10.1103/PhysRevLett.114.212502},

  journal      = {Physical Review Letters},

  number       = 21,

  volume       = 114,

  place        = {United States},

  year         = {Fri May 29 00:00:00 EDT 2015},

  month        = {Fri May 29 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referenced in this record:

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Works referencing / citing this record:

Ab initio predictions for polarized deuterium-tritium thermonuclear fusion
journal, January 2019

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Nature Communications, Vol. 10, Issue 1
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Challenges in nuclear structure theory
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Nazarewicz, W.
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Low-energy bound states, resonances, and scattering of light ions
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Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
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Piarulli, Maria; Tews, Ingo
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Microscopic Clustering in Light Nuclei
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Freer, Martin; Horiuchi, Hisashi; Kanada-En'yo, Yoshiko
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Low-energy bound states, resonances, and scattering of light ions
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Luna, Benjamin K.; Papenbrock, T.
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Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
text, January 2020

Piarulli, Maria; Tews, Ingo
arXiv
DOI: 10.48550/arxiv.2002.00032

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Title: Unified description of 6Li structure and deuterium-4He dynamics with chiral two- and three-nucleon forces

Abstract

Citation Formats

Elastic scattering of deuterons by alpha particles journal, January 1968

Quantum Monte Carlo calculations of excited states in A = 6 – 8 nuclei journal, November 2004

Ab initio no core shell model journal, March 2013

Absolute cross section for recoil detection of deuterium journal, April 1986

Evolving nuclear many-body forces with the similarity renormalization group journal, March 2011

Ab Initio Description of the Exotic Unbound He 7 Nucleus journal, January 2013

Energy levels of light nuclei A=5, 6, 7 journal, September 2002

High-energy breakup of Li 6 as a tool to study the Big Bang nucleosynthesis reaction H 2 ( α , γ ) Li 6 journal, December 2010

Realistic models of pion-exchange three-nucleon interactions journal, June 2001

Properties of 12 C in the Ab Initio Nuclear Shell Model journal, June 2000

Determination of the 6 Li → α + d asymptotic D - to S -state ratio by a restricted phase shift analysis journal, February 1999

Ab initio many-body calculations of nucleon- 4 He scattering with three-nucleon forces journal, November 2013

d − He 4 Elastic Scattering at 12.000 MeV journal, May 1971

Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal, October 2003

Local three-nucleon interaction from chiral effective field theory journal, November 2007

Unitary correlation operator method from a similarity renormalization group perspective journal, May 2007

Nuclear reaction rates and primordial 6 Li journal, August 1997

Chiral effective field theory and nuclear forces journal, June 2011

Phase-shift analysis of d-α elastic scattering between 3 and 43 MeV journal, March 1983

Phase-shift analysis of d-α elastic scattering between 3 and 17 MeV journal, April 1975

Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7 He journal, March 2013

Similarity renormalization group for nucleon-nucleon interactions journal, June 2007

Coupled-channel R-matrix method on a Lagrange mesh journal, September 1998

Modern theory of nuclear forces journal, December 2009

Absolute cross section measurements for H and D elastic recoil using 1 to 2.5 MeV 4He ions, and for the 12C(d,p)13C and 16O(d,p1)17O nuclear reactions journal, October 1993

Absolute cross section for D(4He, D)4He forward scattering journal, June 1993

Ab initio many-body calculations of deuteron- He 4 scattering and Li 6 states journal, April 2011

Excited states of Li6 observed through He4(d, d)He4 journal, January 1964

Depth resolution and recoil cross section for analyzing hydrogen in solids using elastic recoil detection with 4He beam journal, February 1985

Continuum and three-nucleon force effects on Be 9 energy levels journal, February 2015

Cross-sections for the elastic recoil of hydrogen isotopes for high energy helium ions journal, June 2004

Predictive theory for elastic scattering and recoil of protons from He 4 journal, December 2014

Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory journal, September 2009

Deuteron-Helium Differential Scattering Cross Sections journal, May 1955

First Direct Measurement of the H 2 ( α , γ ) Li 6 Cross Section at Big Bang Energies and the Primordial Lithium Problem journal, July 2014

Reexamination of the astrophysical S factor for the α + d → 6 Li+ γ reaction journal, May 2011

Deformation Effects in L 6 i journal, August 1998

The Nubase2012 evaluation of nuclear properties journal, December 2012

Six-body calculation of the α -deuteron radiative capture cross section journal, January 2001

Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group journal, August 2009

Solving the resonating-group equation on a Lagrange mesh journal, October 2002

Similarity-Transformed Chiral N N + 3 N Interactions for the Ab Initio Description of C 12 and O 16 journal, August 2011

Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei journal, September 2003

Evolved chiral N N + 3 N Hamiltonians for ab initio nuclear structure calculations journal, August 2014

Determination of the α 6 + d vertex constant (asymptotic coefficient) from the He 4 + d phase-shift analysis journal, November 1993

He 4 + n + n Continuum within an Ab initio Framework journal, July 2014

Ab initio predictions for polarized deuterium-tritium thermonuclear fusion journal, January 2019

Challenges in nuclear structure theory journal, March 2016

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Title: Unified description of ⁶Li structure and deuterium-⁴He dynamics with chiral two- and three-nucleon forces

Elastic scattering of deuterons by alpha particles
journal, January 1968

Quantum Monte Carlo calculations of excited states in $A = 6 - 8$ nuclei
journal, November 2004

Ab initio no core shell model
journal, March 2013

Absolute cross section for recoil detection of deuterium
journal, April 1986

Evolving nuclear many-body forces with the similarity renormalization group
journal, March 2011

Ab Initio Description of the Exotic Unbound ${}^{7}{He}$ Nucleus
journal, January 2013

Energy levels of light nuclei A=5, 6, 7
journal, September 2002

High-energy breakup of ${}^{6}{Li}$ as a tool to study the Big Bang nucleosynthesis reaction ${}^{2}H$ ( $α$ , $γ$ ) ${}^{6}{Li}$
journal, December 2010

Realistic models of pion-exchange three-nucleon interactions
journal, June 2001

Properties of $^{12} C$ in the Ab Initio Nuclear Shell Model
journal, June 2000

Determination of the $^{6} Li \to α + d$ asymptotic D - to S -state ratio by a restricted phase shift analysis
journal, February 1999

Ab initio many-body calculations of nucleon- $^{4}$ He scattering with three-nucleon forces
journal, November 2013

$d - {}^{4}{He}$ Elastic Scattering at 12.000 MeV
journal, May 1971

Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003

Local three-nucleon interaction from chiral effective field theory
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Unitary correlation operator method from a similarity renormalization group perspective
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Nuclear reaction rates and primordial $^{6}$ Li
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Chiral effective field theory and nuclear forces
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Phase-shift analysis of d-α elastic scattering between 3 and 43 MeV
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Phase-shift analysis of d-α elastic scattering between 3 and 17 MeV
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Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to $^{7}$ He
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Similarity renormalization group for nucleon-nucleon interactions
journal, June 2007

Coupled-channel R-matrix method on a Lagrange mesh
journal, September 1998

Modern theory of nuclear forces
journal, December 2009

Absolute cross section measurements for H and D elastic recoil using 1 to 2.5 MeV 4He ions, and for the 12C(d,p)13C and 16O(d,p1)17O nuclear reactions
journal, October 1993

Absolute cross section for D(4He, D)4He forward scattering
journal, June 1993

Ab initio many-body calculations of deuteron- ${}^{4}{He}$ scattering and ${}^{6}{Li}$ states
journal, April 2011

Excited states of Li6 observed through He4(d, d)He4
journal, January 1964

Depth resolution and recoil cross section for analyzing hydrogen in solids using elastic recoil detection with 4He beam
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Continuum and three-nucleon force effects on ${}^{9}{Be}$ energy levels
journal, February 2015

Cross-sections for the elastic recoil of hydrogen isotopes for high energy helium ions
journal, June 2004

Predictive theory for elastic scattering and recoil of protons from ${}^{4}{He}$
journal, December 2014

Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009

Deuteron-Helium Differential Scattering Cross Sections
journal, May 1955

First Direct Measurement of the ${}^{2}H (α, γ) {}^{6}{Li}$ Cross Section at Big Bang Energies and the Primordial Lithium Problem
journal, July 2014

Reexamination of the astrophysical $S$ factor for the $α$ + $d \to^{6}$ Li+ $γ$ reaction
journal, May 2011

Deformation Effects in ${}^{6}L i$
journal, August 1998

The Nubase2012 evaluation of nuclear properties
journal, December 2012

Six-body calculation of the $α$ -deuteron radiative capture cross section
journal, January 2001

Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
journal, August 2009

Solving the resonating-group equation on a Lagrange mesh
journal, October 2002

Similarity-Transformed Chiral $N N + 3 N$ Interactions for the Ab Initio Description of ${}^{12}C$ and ${}^{16}O$
journal, August 2011

Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei
journal, September 2003

Evolved chiral $N N + 3 N$ Hamiltonians for ab initio nuclear structure calculations
journal, August 2014

Determination of the ${}^{6}α$ + d vertex constant (asymptotic coefficient) from the ${}^{4}{He}$ + d phase-shift analysis
journal, November 1993

${}^{4}{He} + n + n$ Continuum within an Ab initio Framework
journal, July 2014

Ab initio predictions for polarized deuterium-tritium thermonuclear fusion
journal, January 2019

Challenges in nuclear structure theory
journal, March 2016

Low-energy bound states, resonances, and scattering of light ions
journal, November 2019

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
journal, January 2020

Microscopic Clustering in Light Nuclei
text, January 2017

Low-energy bound states, resonances, and scattering of light ions
text, January 2019

Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
text, January 2020