Light-Nuclei Spectra from Chiral Dynamics

Piarulli, M.; Baroni, A.; Girlanda, L.; Kievsky, A.; Lovato, A.; Lusk, Ewing; Marcucci, L. E.; Pieper, Steven C.; Schiavilla, R.; Viviani, M.; Wiringa, R. B.

doi:10.1103/PhysRevLett.120.052503

Title: Light-Nuclei Spectra from Chiral Dynamics

Abstract

In recent years local chiral interactions have been derived and implemented in quantum Monte Carlo methods in order to test to what extent the chiral effective field theory framework impacts our knowledge of few- and many-body systems. Here in this Letter, we present Green’s function Monte Carlo calculations of light nuclei based on the family of local two-body interactions presented by our group in a previous paper in conjunction with chiral three-body interactions fitted to bound- and scattering-state observables in the three-nucleon sector. These interactions include Δ intermediate states in their two-pion-exchange components. We obtain predictions for the energy levels and level ordering of nuclei in the mass range A=4–12, accurate to ≤2% of the binding energy, in very satisfactory agreement with experimental data.

Authors:

Piarulli, M. ^[1]; Baroni, A. ^[2]; Girlanda, L. ^[3]; Kievsky, A. ^[4]; Lovato, A. ^[5]; Lusk, Ewing ^[6]; Marcucci, L. E. ^[7]; Pieper, Steven C. ^[1]; Schiavilla, R. ^[8]; Viviani, M. ^[4]; Wiringa, R. B. ^[1]

Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics
Univ. of Salento, Lecce (Italy). Dept. of Mathematics and Physics; Istituto Nazionale di Fisica Nucleare (INFN), Lecce (Italy)
Istituto Nazionale di Fisica Nucleare (INFN), Pisa (Italy)
Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division; Istituto Nazionale di Fisica Nucleare (INFN), Povo (Italy). Trento Inst.
Argonne National Lab. (ANL), Argonne, IL (United States). Mathematics and Computer Science Division
Istituto Nazionale di Fisica Nucleare (INFN), Pisa (Italy); Univ. of Pisa (Italy). Dept. of Physics
Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center

Publication Date:: Thu Feb 01 00:00:00 EST 2018

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

OSTI Identifier:: 1419749

Alternate Identifier(s):: OSTI ID: 1419117; OSTI ID: 1425280

Report Number(s):: JLAB-THY-17-2516; DOE/OR/-23177-4180; arXiv:1707.02883
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1801384

Grant/Contract Number:: AC02-06CH11357; AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 120; Journal Issue: 5; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Nuclear Binding; Monte Carlo; Light Nuclei; Chiral

Citation Formats


                    Piarulli, M., Baroni, A., Girlanda, L., Kievsky, A., Lovato, A., Lusk, Ewing, Marcucci, L. E., Pieper, Steven C., Schiavilla, R., Viviani, M., and Wiringa, R. B. Light-Nuclei Spectra from Chiral Dynamics.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevLett.120.052503.

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                    Piarulli, M., Baroni, A., Girlanda, L., Kievsky, A., Lovato, A., Lusk, Ewing, Marcucci, L. E., Pieper, Steven C., Schiavilla, R., Viviani, M., & Wiringa, R. B. Light-Nuclei Spectra from Chiral Dynamics.  United States.  https://doi.org/10.1103/PhysRevLett.120.052503

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                    Piarulli, M., Baroni, A., Girlanda, L., Kievsky, A., Lovato, A., Lusk, Ewing, Marcucci, L. E., Pieper, Steven C., Schiavilla, R., Viviani, M., and Wiringa, R. B. Thu .  
"Light-Nuclei Spectra from Chiral Dynamics".  United States.  https://doi.org/10.1103/PhysRevLett.120.052503.  https://www.osti.gov/servlets/purl/1419749.

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@article{osti_1419749,

  title        = {Light-Nuclei Spectra from Chiral Dynamics},

  author       = {Piarulli, M. and Baroni, A. and Girlanda, L. and Kievsky, A. and Lovato, A. and Lusk, Ewing and Marcucci, L. E. and Pieper, Steven C. and Schiavilla, R. and Viviani, M. and Wiringa, R. B.},

  abstractNote = {In recent years local chiral interactions have been derived and implemented in quantum Monte Carlo methods in order to test to what extent the chiral effective field theory framework impacts our knowledge of few- and many-body systems. Here in this Letter, we present Green’s function Monte Carlo calculations of light nuclei based on the family of local two-body interactions presented by our group in a previous paper in conjunction with chiral three-body interactions fitted to bound- and scattering-state observables in the three-nucleon sector. These interactions include Δ intermediate states in their two-pion-exchange components. We obtain predictions for the energy levels and level ordering of nuclei in the mass range A=4–12, accurate to ≤2% of the binding energy, in very satisfactory agreement with experimental data.},

  doi          = {10.1103/PhysRevLett.120.052503},

  journal      = {Physical Review Letters},

  number       = 5,

  volume       = 120,

  place        = {United States},

  year         = {Thu Feb 01 00:00:00 EST 2018},

  month        = {Thu Feb 01 00:00:00 EST 2018}

}

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Figure 1: Diagrams illustrating schematically the contributions to the chiral 3N interaction. Nucleons, ∆’s, and pions are denoted by solid, thick-solid, and dashed lines, respectively. The circle in panel (b) represents the vertex involving the (2) LECs c₁, c₃, and c₄ inmore »

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Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
text, January 2018

Epelbaum, E.; Golak, J.; Hebeler, K.
arXiv
DOI: 10.48550/arxiv.1807.02848

Non-perturbative Extraction of the Effective Mass in Neutron Matter
text, January 2019

Buraczynski, Mateusz; Ismail, Nawar; Gezerlis, Alexandros
arXiv
DOI: 10.48550/arxiv.1901.00870

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: Light-Nuclei Spectra from Chiral Dynamics

Abstract

Citation Formats

Figures / Tables:

Quantum Monte Carlo calculations of nuclei with A <~ 7 journal, October 1997

Accurate nucleon-nucleon potential with charge-independence breaking journal, January 1995

Erratum: Tritium β decay in chiral effective field theory [Phys. Rev. C 94 , 024003 (2016)] journal, May 2017

Nucleon-mass difference in chiral perturbation theory and nuclear forces journal, October 2004

Local chiral effective field theory interactions and quantum Monte Carlo applications journal, November 2014

Pion Theory of Three-Body Forces journal, March 1957

Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order journal, May 2013

Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and He 3 journal, January 2012

The Ame2003 atomic mass evaluation journal, December 2003

On the Interaction of Elementary Particles. I * journal, January 1955

Recent Progress in Understanding Trinucleon Properties journal, December 1984

Renormalization of one-pion exchange and power counting journal, November 2005

Few-nucleon forces from chiral Lagrangians journal, June 1994

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

Subleading contributions to the three-nucleon contact interaction journal, July 2011

Construction of high-quality NN potential models journal, June 1994

Charge-symmetry-breaking three-nucleon forces journal, February 2005

Two-nucleon potential from chiral Lagrangians journal, May 1996

How Low-Energy Weak Reactions Can Constrain Three-Nucleon Forces and the Neutron-Neutron Scattering Length journal, June 2006

Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions journal, November 2017

Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism journal, July 1998

Local chiral potentials with Δ -intermediate states and the structure of light nuclei journal, November 2016

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

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

Analyzing powers of p + d scattering below the deuteron breakup threshold journal, September 1995

Low-energy neutron-deuteron reactions with N 3 LO chiral forces journal, November 2014

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

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

Charge-independence breaking in the two-pion-exchange nucleon-nucleon force journal, August 1999

Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold journal, August 2013

The Chiral Effective Pion-Nucleon Lagrangian of Order p4 journal, August 2000

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances journal, February 2015

Three-body interactions among nucleons and pions journal, November 1992

The Chiral Effective Pion–Nucleon Lagrangian of Order p4 journal, February 2001

A new expansion for nucleon-nucleon interactions journal, April 1998

Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter journal, February 2016

Nuclear axial currents in chiral effective field theory journal, January 2016

Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV journal, August 1993

Nuclear forces from chiral lagrangians journal, November 1990

Chiral effective field theory and nuclear forces journal, June 2011

Precision neutron interferometric measurements and updated evaluations of the n − p and n − d coherent neutron scattering lengths journal, April 2003

Nuclear axial current operators to fourth order in chiral effective field theory journal, March 2017

Chiral three-nucleon force at N 4 LO: Longest-range contributions journal, May 2012

Subleading contributions to the chiral three-nucleon force. II. Short-range terms and relativistic corrections journal, November 2011

Erratum: Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold [Phys. Rev. C 88 , 024002 (2013)] journal, December 2013

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

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

Two-nucleon systems from effective field theory journal, November 1998

The three-nucleon continuum: achievements, challenges and applications journal, September 1996

Power counting with one-pion exchange journal, July 2006

Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order journal, May 2015

Evolution of a minimal parallel programming model journal, April 2017

High-precision, charge-dependent Bonn nucleon-nucleon potential journal, January 2001

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

Tritium β decay in chiral effective field theory journal, August 2016

The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force conference, January 2008

Power Counting of Contact-Range Currents in Effective Field Theory journal, February 2015

Quantum Monte Carlo calculations of electromagnetic transitions in Be 8 with meson-exchange currents derived from chiral effective field theory journal, August 2014

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces journal, February 2016

Quantum Monte Carlo methods for nuclear physics journal, September 2015

Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions journal, July 2013

The Ame2003 atomic mass evaluation journal, December 2003

Local three-nucleon interaction from chiral effective field theory text, January 2007

Chiral effective field theory and nuclear forces text, January 2011

Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections text, January 2011

Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions text, January 2013

Partial Wave Analysis of Nucleon-Nucleon Scattering below pion production threshold text, January 2013

Low-energy neutron-deuteron reactions with N3LO chiral forces text, January 2014

Nuclear Axial Currents in Chiral Effective Field Theory text, January 2015

Tritium $β$-decay in chiral effective field theory text, January 2016

The chiral effective pion-nucleon Lagrangian of order p^4 text, January 2000

Precision neutron interferometric measurements and updated evaluations of the n-p and n-d coherent neutron scattering lengths text, January 2003

Realistic models of pion-exchange three-nucleon interactions text, January 2001

Three-Nucleon Forces from Chiral Effective Field Theory text, January 2002

Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory text, January 2003

Quantum Monte Carlo calculations of nuclei with $A <~ 7$
journal, October 1997

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

Erratum: Tritium $β$ decay in chiral effective field theory [Phys. Rev. C 94 , 024003 (2016)]
journal, May 2017

Nucleon-mass difference in chiral perturbation theory and nuclear forces
journal, October 2004

Local chiral effective field theory interactions and quantum Monte Carlo applications
journal, November 2014

Pion Theory of Three-Body Forces
journal, March 1957

Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order
journal, May 2013

Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and ${}^{3}{He}$
journal, January 2012

The Ame2003 atomic mass evaluation
journal, December 2003

On the Interaction of Elementary Particles. I ^*
journal, January 1955

Recent Progress in Understanding Trinucleon Properties
journal, December 1984

Renormalization of one-pion exchange and power counting
journal, November 2005

Few-nucleon forces from chiral Lagrangians
journal, June 1994

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

Subleading contributions to the three-nucleon contact interaction
journal, July 2011

Construction of high-quality NN potential models
journal, June 1994

Charge-symmetry-breaking three-nucleon forces
journal, February 2005

Two-nucleon potential from chiral Lagrangians
journal, May 1996

How Low-Energy Weak Reactions Can Constrain Three-Nucleon Forces and the Neutron-Neutron Scattering Length
journal, June 2006

Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
journal, November 2017

Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
journal, July 1998

Local chiral potentials with $Δ$ -intermediate states and the structure of light nuclei
journal, November 2016

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

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

Analyzing powers of p + d scattering below the deuteron breakup threshold
journal, September 1995

Low-energy neutron-deuteron reactions with N 3 LO chiral forces
journal, November 2014

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

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

Charge-independence breaking in the two-pion-exchange nucleon-nucleon force
journal, August 1999

Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold
journal, August 2013

The Chiral Effective Pion-Nucleon Lagrangian of Order p4
journal, August 2000

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including $Δ$ resonances
journal, February 2015

Three-body interactions among nucleons and pions
journal, November 1992

The Chiral Effective Pion–Nucleon Lagrangian of Order p4
journal, February 2001

A new expansion for nucleon-nucleon interactions
journal, April 1998

Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- $α$ Scattering, and Neutron Matter
journal, February 2016

Nuclear axial currents in chiral effective field theory
journal, January 2016

Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV
journal, August 1993

Nuclear forces from chiral lagrangians
journal, November 1990

Chiral effective field theory and nuclear forces
journal, June 2011

Precision neutron interferometric measurements and updated evaluations of the $n - p$ and $n - d$ coherent neutron scattering lengths
journal, April 2003

Nuclear axial current operators to fourth order in chiral effective field theory
journal, March 2017

Chiral three-nucleon force at N $^{4}$ LO: Longest-range contributions
journal, May 2012

Subleading contributions to the chiral three-nucleon force. II. Short-range terms and relativistic corrections
journal, November 2011

Erratum: Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold [Phys. Rev. C 88 , 024002 (2013)]
journal, December 2013

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

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

Two-nucleon systems from effective field theory
journal, November 1998

The three-nucleon continuum: achievements, challenges and applications
journal, September 1996

Power counting with one-pion exchange
journal, July 2006

Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
journal, May 2015

Evolution of a minimal parallel programming model
journal, April 2017

High-precision, charge-dependent Bonn nucleon-nucleon potential
journal, January 2001

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

Tritium $β$ decay in chiral effective field theory
journal, August 2016

The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force
conference, January 2008

Power Counting of Contact-Range Currents in Effective Field Theory
journal, February 2015

Quantum Monte Carlo calculations of electromagnetic transitions in ${}^{8}{Be}$ with meson-exchange currents derived from chiral effective field theory
journal, August 2014

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
journal, February 2016

Quantum Monte Carlo methods for nuclear physics
journal, September 2015

Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
journal, July 2013

The Ame2003 atomic mass evaluation
journal, December 2003

Local three-nucleon interaction from chiral effective field theory
text, January 2007

Chiral effective field theory and nuclear forces
text, January 2011

Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
text, January 2011

Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
text, January 2013

Partial Wave Analysis of Nucleon-Nucleon Scattering below pion production threshold
text, January 2013

Low-energy neutron-deuteron reactions with N3LO chiral forces
text, January 2014

Nuclear Axial Currents in Chiral Effective Field Theory
text, January 2015

Tritium $β$-decay in chiral effective field theory
text, January 2016

The chiral effective pion-nucleon Lagrangian of order p^4
text, January 2000

Precision neutron interferometric measurements and updated evaluations of the n-p and n-d coherent neutron scattering lengths
text, January 2003

Realistic models of pion-exchange three-nucleon interactions
text, January 2001

Three-Nucleon Forces from Chiral Effective Field Theory
text, January 2002

Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
text, January 2003

Charge-Symmetry-Breaking Three-Nucleon Forces
text, January 2004

Renormalization of One-Pion Exchange and Power Counting
text, January 2005

An accurate nucleon-nucleon potential with charge-independence breaking
text, January 1994

Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
text, January 1998