Light and unbound nuclei: An introduction to ab initio methods in nuclear structure and reaction theory

Quaglioni, Sofia

doi:10.1140/epjp/i2018-12238-0

Title: Light and unbound nuclei: An introduction to ab initio methods in nuclear structure and reaction theory

Abstract

Light nuclei display a wide variety of phenomena: from stable bound states, to rare unstable isotopes and transient resonances, to mutual dynamical interactions during a reaction. Here, after an overview of these phenomena, basic formalism and concepts in ab initio nuclear structure and reaction theory are introduced, followed by selected examples of how powerful techniques for the description of the nuclear force and the solution of the nuclear quantum many-body problem combined with cutting-edge high-performance computing are enabling a comprehensive understanding of light exotic nuclei and thermonuclear reactions that play an important role in the Cosmos and on Earth.

Authors:

Quaglioni, Sofia ^[1]

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

Publication Date:: 2018-09-25

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

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1481096

Report Number(s):: LLNL-JRNL-753608
Journal ID: ISSN 2190-5444; 938751

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: European Physical Journal Plus

Additional Journal Information:: Journal Volume: 133; Journal Issue: 9; Journal ID: ISSN 2190-5444

Publisher:: Springer

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Quaglioni, Sofia. Light and unbound nuclei: An introduction to ab initio methods in nuclear structure and reaction theory.  United States: N. p., 2018. 
Web.  doi:10.1140/epjp/i2018-12238-0.

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                    Quaglioni, Sofia. Light and unbound nuclei: An introduction to ab initio methods in nuclear structure and reaction theory.  United States.  https://doi.org/10.1140/epjp/i2018-12238-0

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                    Quaglioni, Sofia. Tue .  
"Light and unbound nuclei: An introduction to ab initio methods in nuclear structure and reaction theory".  United States.  https://doi.org/10.1140/epjp/i2018-12238-0.  https://www.osti.gov/servlets/purl/1481096.

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@article{osti_1481096,

  title        = {Light and unbound nuclei: An introduction to ab initio methods in nuclear structure and reaction theory},

  author       = {Quaglioni, Sofia},

  abstractNote = {Light nuclei display a wide variety of phenomena: from stable bound states, to rare unstable isotopes and transient resonances, to mutual dynamical interactions during a reaction. Here, after an overview of these phenomena, basic formalism and concepts in ab initio nuclear structure and reaction theory are introduced, followed by selected examples of how powerful techniques for the description of the nuclear force and the solution of the nuclear quantum many-body problem combined with cutting-edge high-performance computing are enabling a comprehensive understanding of light exotic nuclei and thermonuclear reactions that play an important role in the Cosmos and on Earth.},

  doi          = {10.1140/epjp/i2018-12238-0},

  journal      = {European Physical Journal Plus},

  number       = 9,

  volume       = 133,

  place        = {United States},

  year         = {2018},

  month        = {9}

}

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Figures / Tables:

Fig. 1: The light sector of the nuclear landscape.

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DOI: 10.1103/PhysRevLett.111.062501

${}^{3}{He} (α, γ) {}^{7}{Be}$ and ${}^{3}H (α, γ) {}^{7}{Li}$ astrophysical S factors from the no-core shell model with continuum
journal, June 2016

Dohet-Eraly, Jérémy; Navrátil, Petr; Quaglioni, Sofia
Physics Letters B, Vol. 757
DOI: 10.1016/j.physletb.2016.04.021

State dependent effective interaction for the hyperspherical formalism
journal, March 2000

Barnea, Nir; Leidemann, Winfried; Orlandini, Giuseppina
Physical Review C, Vol. 61, Issue 5
DOI: 10.1103/PhysRevC.61.054001

Elastic proton scattering of medium mass nuclei from coupled-cluster theory
journal, August 2012

Hagen, G.; Michel, N.
Physical Review C, Vol. 86, Issue 2
DOI: 10.1103/PhysRevC.86.021602

Variational Calculation on A = 3 and 4 Nuclei with Non-Local Potentials
journal, July 2006

Viviani, M.; Marcucci, L. E.; Rosati, S.
Few-Body Systems, Vol. 39, Issue 3-4
DOI: 10.1007/s00601-006-0158-y

Nucleon-nucleon potential from an effective chiral Lagrangian
journal, March 1994

Ordóñez, C.; Ray, L.; van Kolck, U.
Physical Review Letters, Vol. 72, Issue 13
DOI: 10.1103/PhysRevLett.72.1982

Momentum-space evolution of chiral three-nucleon forces
journal, February 2012

Hebeler, K.
Physical Review C, Vol. 85, Issue 2
DOI: 10.1103/PhysRevC.85.021002

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

Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr
Physical Review C, Vol. 90, Issue 6
DOI: 10.1103/PhysRevC.90.061601

$Nd$ elastic scattering as a tool to probe properties of $3 N$ forces
journal, January 2001

Witała, H.; Glöckle, W.; Golak, J.
Physical Review C, Vol. 63, Issue 2
DOI: 10.1103/PhysRevC.63.024007

Ab Initio Many-Body Calculations of the ${}^{3}H (d, n) {}^{4}{He}$ and ${}^{3}{He} (d, p) {}^{4}{He}$ Fusion Reactions
journal, January 2012

Navrátil, Petr; Quaglioni, Sofia
Physical Review Letters, Vol. 108, Issue 4
DOI: 10.1103/PhysRevLett.108.042503

Operator evolution for ab initio electric dipole transitions of ${}^{4}{He}$
journal, July 2015

Schuster, Micah D.; Quaglioni, Sofia; Johnson, Calvin W.
Physical Review C, Vol. 92, Issue 1
DOI: 10.1103/PhysRevC.92.014320

Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $α$ clustering shape ${}^{6}{He}$
journal, March 2018

Quaglioni, Sofia; Romero-Redondo, Carolina; Navrátil, Petr
Physical Review C, Vol. 97, Issue 3
DOI: 10.1103/PhysRevC.97.034332

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

Nollett, K. M.; Wiringa, R. B.; Schiavilla, R.
Physical Review C, Vol. 63, Issue 2
DOI: 10.1103/PhysRevC.63.024003

Accurate nuclear radii and binding energies from a chiral interaction
journal, May 2015

Ekström, A.; Jansen, G. R.; Wendt, K. A.
Physical Review C, Vol. 91, Issue 5
DOI: 10.1103/PhysRevC.91.051301

Four-Body Calculation of Proton- ${}^{3}{He}$ Scattering
journal, April 2007

Deltuva, A.; Fonseca, A. C.
Physical Review Letters, Vol. 98, Issue 16
DOI: 10.1103/PhysRevLett.98.162502

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

Hesse, M.; Roland, J.; Baye, D.
Nuclear Physics A, Vol. 709, Issue 1-4
DOI: 10.1016/S0375-9474(02)01040-0

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

Roth, Robert; Langhammer, Joachim; Calci, Angelo
Physical Review Letters, Vol. 107, Issue 7
DOI: 10.1103/PhysRevLett.107.072501

Activation Measurement of the ${}^{3}{He} (α, γ) {}^{7}{Be}$ Cross Section at Low Energy
journal, September 2006

Bemmerer, D.; Confortola, F.; Costantini, H.
Physical Review Letters, Vol. 97, Issue 12
DOI: 10.1103/PhysRevLett.97.122502

Solar fusion cross sections
journal, October 1998

Adelberger, Eric G.; Austin, Sam M.; Bahcall, John N.
Reviews of Modern Physics, Vol. 70, Issue 4
DOI: 10.1103/RevModPhys.70.1265

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

Roth, Robert; Calci, Angelo; Langhammer, Joachim
Physical Review C, Vol. 90, Issue 2
DOI: 10.1103/PhysRevC.90.024325

Gamow shell model description of weakly bound nuclei and unbound nuclear states
journal, May 2003

Michel, N.; Nazarewicz, W.; Płoszajczak, M.
Physical Review C, Vol. 67, Issue 5
DOI: 10.1103/PhysRevC.67.054311

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

Romero-Redondo, Carolina; Quaglioni, Sofia; Navrátil, Petr
Physical Review Letters, Vol. 113, Issue 3
DOI: 10.1103/PhysRevLett.113.032503

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Title: Light and unbound nuclei: An introduction to ab initio methods in nuclear structure and reaction theory

Abstract

Citation Formats

Figures / Tables:

Construction of Hyperspherical Functions Symmetrized with Respect to the Orthogonal and the Symmetric Groups journal, May 1997

Similarity renormalization group evolution of three-nucleon forces in a hyperspherical momentum representation journal, June 2013

Three-body systems with Lagrange-mesh techniques in hyperspherical coordinates journal, April 2003

Ab initio no core shell model journal, March 2013

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

Microscopic description of translationally invariant core + N + N overlap functions journal, January 2014

First Direct Mass Measurement of the Two-Neutron Halo Nucleus He 6 and Improved Mass for the Four-Neutron Halo He 8 journal, January 2012

Nuclear Reactions in Stars Without Hydrogen. journal, March 1952

The “cluster model” of the atomic nuclei journal, June 1958

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

Elastic proton scattering on tritium below the n − He 3 threshold journal, May 2009

Ab initio many-body calculations of nucleon-nucleus scattering journal, April 2009

Few-nucleon forces from chiral Lagrangians journal, June 1994

Four-nucleon force in chiral effective field theory journal, August 2006

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

Coulomb-Sturmian basis for the nuclear many-body problem journal, September 2012

Four-nucleon scattering: Ab initio calculations in momentum space journal, January 2007

Unified Description of Li 6 Structure and Deuterium- He 4 Dynamics with Chiral Two- and Three-Nucleon Forces journal, May 2015

Large basis ab initio shell model investigation of Be 9 and Be 11 journal, April 2005

Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods journal, November 2012

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

N − d elastic scattering using the hyperspherical harmonics approach with realistic local and nonlocal interactions journal, September 2009

Three-body continuum states on a Lagrange mesh journal, February 2006

Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be 11 ? journal, December 2016

Nuclear reactions in stellar helium burning and later hydrostatic burning stages journal, October 2006

Proton radii of He 4 , 6 , 8 isotopes from high-precision nucleon-nucleon interactions journal, February 2006

Chiral EFT based nuclear forces: achievements and challenges journal, July 2016

Nuclear forces from chiral lagrangians journal, November 1990

Microscopic theory of cluster radioactivity journal, February 1998

Three-cluster dynamics within an ab initio framework journal, September 2013

Few-nucleon systems in a translationally invariant harmonic oscillator basis journal, March 2000

Order of Levels in the Shell Model and Spin of Be 11 journal, May 1960

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

On Nuclear Reactions Occuring in Very Hot STARS.I. the Synthesis of Elements from Carbon to Nickel. journal, September 1954

Alternative similarity renormalization group generators in nuclear structure calculations journal, September 2014

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

Halo nuclei He 6 and He 8 with the Coulomb-Sturmian basis journal, September 2014

Chiral two- and three-nucleon forces along medium-mass isotope chains journal, June 2014

Hyperspherical wave functions with orthogonal and permutational symmetry journal, January 1998

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

Radiative α -capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions journal, April 2001

In-medium similarity renormalization group for open-shell nuclei journal, June 2012

Influence of the electronic chaotic motion on the fusion dynamics at astrophysical energies journal, September 2005

New excited states in the halo nucleus 6He journal, December 2012

Structure and reactions of quantum halos journal, February 2004

Three-nucleon forces from chiral effective field theory journal, December 2002

The C 12 ( α , γ ) O 16 reaction and its implications for stellar helium burning journal, September 2017

Clustering and other exotic phenomena in nuclei journal, April 2008

Ab Initio Many-Body Calculations of n − H 3 , n − He 4 , p − He 3 , 4 , and n − Be 10 Scattering journal, August 2008

Importance truncation for large-scale configuration interaction approaches journal, June 2009

Unified ab initio approaches to nuclear structure and reactions journal, April 2016

Natural orbital description of the halo nucleus 6He journal, November 2017

Flow-equations for Hamiltonians journal, January 1994

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

The general harmonic-oscillator brackets: compact expression, symmetries, sums and Fortran code journal, December 2001

Nuclear reaction network for primordial nucleosynthesis: a detailed analysis of rates, uncertainties and light nuclei yields journal, December 2004

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

From low-momentum interactions to nuclear structure journal, July 2010

Ab Initio Calculation of the Spectrum and Structure of O 16 journal, March 2014

Resonating-group method for nuclear many-body problems journal, November 1978

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

He 4 experiments can serve as a database for determining the three-nucleon force journal, April 2008

Testing nonlocal nucleon-nucleon interactions in four-nucleon systems journal, October 2004

The R -matrix theory journal, February 2010

The structure of the resonating group equation journal, March 1982

Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions journal, September 2010

Laser Spectroscopic Determination of the H 6 e Nuclear Charge Radius journal, September 2004

Weak transitions in A = 6 and 7 nuclei journal, April 2002

Auxiliary Field Diffusion Monte Carlo Calculation of Nuclei with A ≤ 40 with Tensor Interactions journal, July 2007

Recent developments in no-core shell-model calculations journal, May 2009

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

Quantum Monte Carlo Calculations of Neutron- α Scattering journal, July 2007

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

A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states journal, May 2008

Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI journal, December 2001

Coupled-cluster computations of atomic nuclei journal, September 2014

Construction of Hyperspherical Functions Symmetrized with Respect to the Orthogonal and the Symmetric Groups
journal, May 1997

Similarity renormalization group evolution of three-nucleon forces in a hyperspherical momentum representation
journal, June 2013

Three-body systems with Lagrange-mesh techniques in hyperspherical coordinates
journal, April 2003

Ab initio no core shell model
journal, March 2013

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

Microscopic description of translationally invariant core $+ N + N$ overlap functions
journal, January 2014

First Direct Mass Measurement of the Two-Neutron Halo Nucleus ${}^{6}{He}$ and Improved Mass for the Four-Neutron Halo ${}^{8}{He}$
journal, January 2012

Nuclear Reactions in Stars Without Hydrogen.
journal, March 1952

The “cluster model” of the atomic nuclei
journal, June 1958

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

Elastic proton scattering on tritium below the $n − {}^{3}{He}$ threshold
journal, May 2009

Ab initio many-body calculations of nucleon-nucleus scattering
journal, April 2009

Few-nucleon forces from chiral Lagrangians
journal, June 1994

Four-nucleon force in chiral effective field theory
journal, August 2006

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

Coulomb-Sturmian basis for the nuclear many-body problem
journal, September 2012

Four-nucleon scattering: Ab initio calculations in momentum space
journal, January 2007

Unified Description of ${}^{6}{Li}$ Structure and Deuterium- ${}^{4}{He}$ Dynamics with Chiral Two- and Three-Nucleon Forces
journal, May 2015

Large basis ab initio shell model investigation of ${}^{9}{Be}$ and ${}^{11}{Be}$
journal, April 2005

Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods
journal, November 2012

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

$N − d$ elastic scattering using the hyperspherical harmonics approach with realistic local and nonlocal interactions
journal, September 2009

Three-body continuum states on a Lagrange mesh
journal, February 2006

Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}{Be}$ ?
journal, December 2016

Nuclear reactions in stellar helium burning and later hydrostatic burning stages
journal, October 2006

Proton radii of ${}^{4, 6, 8}{He}$ isotopes from high-precision nucleon-nucleon interactions
journal, February 2006

Chiral EFT based nuclear forces: achievements and challenges
journal, July 2016

Nuclear forces from chiral lagrangians
journal, November 1990

Microscopic theory of cluster radioactivity
journal, February 1998

Three-cluster dynamics within an ab initio framework
journal, September 2013

Few-nucleon systems in a translationally invariant harmonic oscillator basis
journal, March 2000

Order of Levels in the Shell Model and Spin of ${Be}^{11}$
journal, May 1960

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

On Nuclear Reactions Occuring in Very Hot STARS.I. the Synthesis of Elements from Carbon to Nickel.
journal, September 1954

Alternative similarity renormalization group generators in nuclear structure calculations
journal, September 2014

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

Halo nuclei ${}^{6}{He}$ and ${}^{8}{He}$ with the Coulomb-Sturmian basis
journal, September 2014

Chiral two- and three-nucleon forces along medium-mass isotope chains
journal, June 2014

Hyperspherical wave functions with orthogonal and permutational symmetry
journal, January 1998

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

Radiative α -capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions
journal, April 2001

In-medium similarity renormalization group for open-shell nuclei
journal, June 2012

Influence of the electronic chaotic motion on the fusion dynamics at astrophysical energies
journal, September 2005

New excited states in the halo nucleus 6He
journal, December 2012

Structure and reactions of quantum halos
journal, February 2004

Three-nucleon forces from chiral effective field theory
journal, December 2002

The ${}^{12}C (α, γ) {}^{16}O$ reaction and its implications for stellar helium burning
journal, September 2017

Clustering and other exotic phenomena in nuclei
journal, April 2008

Ab Initio Many-Body Calculations of $n − {}^{3}H$ , $n − {}^{4}{He}$ , $p − {}^{3, 4}{He}$ , and $n − {}^{10}{Be}$ Scattering
journal, August 2008

Importance truncation for large-scale configuration interaction approaches
journal, June 2009

Unified ab initio approaches to nuclear structure and reactions
journal, April 2016

Natural orbital description of the halo nucleus 6He
journal, November 2017

Flow-equations for Hamiltonians
journal, January 1994

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

The general harmonic-oscillator brackets: compact expression, symmetries, sums and Fortran code
journal, December 2001

Nuclear reaction network for primordial nucleosynthesis: a detailed analysis of rates, uncertainties and light nuclei yields
journal, December 2004

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

From low-momentum interactions to nuclear structure
journal, July 2010

Ab Initio Calculation of the Spectrum and Structure of ${}^{16}O$
journal, March 2014

Resonating-group method for nuclear many-body problems
journal, November 1978

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

${}^{4}{He}$ experiments can serve as a database for determining the three-nucleon force
journal, April 2008

Testing nonlocal nucleon-nucleon interactions in four-nucleon systems
journal, October 2004

The R -matrix theory
journal, February 2010

The structure of the resonating group equation
journal, March 1982

Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
journal, September 2010

Laser Spectroscopic Determination of the ${}^{6}H e$ Nuclear Charge Radius
journal, September 2004

Weak transitions in $A = 6$ and 7 nuclei
journal, April 2002

Auxiliary Field Diffusion Monte Carlo Calculation of Nuclei with $A \leq 40$ with Tensor Interactions
journal, July 2007

Recent developments in no-core shell-model calculations
journal, May 2009

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

Quantum Monte Carlo Calculations of Neutron- $α$ Scattering
journal, July 2007

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

A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
journal, May 2008

Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI
journal, December 2001

Coupled-cluster computations of atomic nuclei
journal, September 2014

Collective Modes in Light Nuclei from First Principles
journal, December 2013

Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991

Measurements of interaction cross sections and radii of He isotopes
journal, October 1985

Large-basis ab initio no-core shell model and its application to $^{12} C$
journal, October 2000