Pion-less effective field theory for atomic nuclei and lattice nuclei

Bansal, A.; Binder, S.; Ekström, A.; Hagen, G.; Jansen, G. R.; Papenbrock, T.

doi:10.1103/PhysRevC.98.054301

Title: Pion-less effective field theory for atomic nuclei and lattice nuclei

Abstract

We compute the medium-mass nuclei 16O and 40Ca using pion-less effective field theory (EFT) at next-to-leading order (NLO). The low-energy coefficients of the EFT Hamiltonian are adjusted to experimental data for nuclei with mass numbers A=2 and 3, or alternatively to results from lattice quantum chromodynamics at an unphysical pion mass of 806 MeV. The EFT is implemented through a discrete variable representation in the harmonic oscillator basis. This approach ensures rapid convergence with respect to the size of the model space and facilitates the computation of medium-mass nuclei. At NLO the nuclei 16O and 40Ca are bound with respect to decay into alpha particles. Binding energies per nucleon are 9–10 MeV and 21–40 MeV at pion masses of 140 and 806 MeV, respectively.

Authors:

Bansal, A. ^[1]; Binder, S. ^[2]; Ekström, A. ^[3]; Hagen, G. ^[4]; Jansen, G. R. ^[5]; Papenbrock, T. ^[2]

Univ. of Tennessee, Knoxville, TN (United States)
Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Chalmers Univ. of Technology, Goteborg (Sweden); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: Thu Nov 01 00:00:00 EDT 2018

Research Org.:: Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

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

OSTI Identifier:: 1480266

Alternate Identifier(s):: OSTI ID: 1480369; OSTI ID: 1546553

Grant/Contract Number:: FG02-96ER40963; SC0008499; SC0018223; AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Bansal, A., Binder, S., Ekström, A., Hagen, G., Jansen, G. R., and Papenbrock, T. Pion-less effective field theory for atomic nuclei and lattice nuclei.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevC.98.054301.

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                    Bansal, A., Binder, S., Ekström, A., Hagen, G., Jansen, G. R., & Papenbrock, T. Pion-less effective field theory for atomic nuclei and lattice nuclei.  United States.  https://doi.org/10.1103/PhysRevC.98.054301

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                    Bansal, A., Binder, S., Ekström, A., Hagen, G., Jansen, G. R., and Papenbrock, T. Thu .  
"Pion-less effective field theory for atomic nuclei and lattice nuclei".  United States.  https://doi.org/10.1103/PhysRevC.98.054301.  https://www.osti.gov/servlets/purl/1480266.

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@article{osti_1480266,

  title        = {Pion-less effective field theory for atomic nuclei and lattice nuclei},

  author       = {Bansal, A. and Binder, S. and Ekström, A. and Hagen, G. and Jansen, G. R. and Papenbrock, T.},

  abstractNote = {We compute the medium-mass nuclei 16O and 40Ca using pion-less effective field theory (EFT) at next-to-leading order (NLO). The low-energy coefficients of the EFT Hamiltonian are adjusted to experimental data for nuclei with mass numbers A=2 and 3, or alternatively to results from lattice quantum chromodynamics at an unphysical pion mass of 806 MeV. The EFT is implemented through a discrete variable representation in the harmonic oscillator basis. This approach ensures rapid convergence with respect to the size of the model space and facilitates the computation of medium-mass nuclei. At NLO the nuclei 16O and 40Ca are bound with respect to decay into alpha particles. Binding energies per nucleon are 9–10 MeV and 21–40 MeV at pion masses of 140 and 806 MeV, respectively.},

  doi          = {10.1103/PhysRevC.98.054301},

  journal      = {Physical Review C},

  number       = 5,

  volume       = 98,

  place        = {United States},

  year         = {Thu Nov 01 00:00:00 EDT 2018},

  month        = {Thu Nov 01 00:00:00 EDT 2018}

}

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Works referencing / citing this record:

Hadrons and nuclei
journal, November 2019

Detmold, William; Edwards, Robert G.; Dudek, Jozef J.
The European Physical Journal A, Vol. 55, Issue 11
DOI: 10.1140/epja/i2019-12902-4

Lattice QCD and neutrino-nucleus scattering
journal, November 2019

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The European Physical Journal A, Vol. 55, Issue 11
DOI: 10.1140/epja/i2019-12916-x

Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
text, January 2018

Lu, Hsuan-Hao; Klco, Natalie; Lukens, Joseph M.
arXiv
DOI: 10.48550/arxiv.1810.03959

Lattice QCD and Neutrino-Nucleus Scattering
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Kronfeld, Andreas S.; Richards, David G.; Detmold, William
arXiv
DOI: 10.48550/arxiv.1904.09931

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Title: Pion-less effective field theory for atomic nuclei and lattice nuclei

Abstract

Citation Formats

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Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states journal, June 1986

An effective field theory approach to two trapped particles journal, August 2010

Large-scale exact diagonalizations reveal low-momentum scales of nuclei journal, March 2018

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Few-nucleon forces from chiral Lagrangians journal, June 1994

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Chiral potential renormalized in harmonic-oscillator space journal, December 2016

Chiral effective field theory and nuclear forces journal, June 2011

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

Two nucleon systems at m π ∼ 450 MeV from lattice QCD journal, December 2015

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Modern theory of nuclear forces journal, December 2009

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Compilation of coupling constants and low-energy parameters journal, May 1983

Two-nucleon higher partial-wave scattering from lattice QCD journal, February 2017

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

Light nuclei and hypernuclei from quantum chromodynamics in the limit of SU(3) flavor symmetry journal, February 2013

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Calculation of Matrix Elements for One‐Dimensional Quantum‐Mechanical Problems journal, November 1968

Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis journal, November 2012

A general framework for discrete variable representation basis sets journal, May 2002

Using Effective Field Theory to analyse low-energy Compton scattering data from protons and light nuclei journal, October 2012

Corrections to nuclear energies and radii in finite oscillator spaces journal, September 2012

Nuclear Force from Lattice QCD journal, July 2007

Structure of Ni 78 from First-Principles Computations journal, October 2016

Universal few-body physics in a harmonic trap journal, January 2011

Universal correlations in pion-less EFT with the resonating group model: three and four nucleons conference, February 2010

Volume dependence of N -body bound states journal, April 2018

Effective field theory in the harmonic oscillator basis journal, April 2016

Infrared extrapolations of quadrupole moments and transitions journal, April 2016

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On the correlation between the binding energies of the triton and the α-particle journal, February 2005

Structure of the Lightest Tin Isotopes journal, April 2018

Nucleon-nucleon interaction in the J -matrix inverse scattering approach and few-nucleon systems journal, October 2004

Bound states of 4He with local interactions journal, April 1975

The three-boson system with short-range interactions journal, February 1999

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Description of light nuclei in pionless effective field theory using the stochastic variational method journal, September 2016

Renormalization of the Three-Body System with Short-Range Interactions journal, January 1999

Review of Particle Physics journal, August 2014

Electric properties of the Beryllium-11 system in Halo EFT journal, August 2011

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

Solution of the Center-Of-Mass Problem in Nuclear Structure Calculations journal, August 2009

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

Universal correlations in pion-less EFT with the resonating group method: Three and four nucleons journal, March 2010

αα scattering in halo effective field theory journal, September 2008

Generalised meshes for quantum mechanical problems journal, August 1986

Many-fermion theory in expS- (or coupled cluster) form journal, February 1978

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

Deuteron and exotic two-body bound states from lattice QCD journal, March 2012

Infrared extrapolations for atomic nuclei journal, February 2015

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Nucleon-nucleon effective field theory without pions
journal, July 1999

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
journal, June 1986

An effective field theory approach to two trapped particles
journal, August 2010

Large-scale exact diagonalizations reveal low-momentum scales of nuclei
journal, March 2018

Form of the effective interaction in harmonic-oscillator-based effective theory
journal, March 2008

Ab initio no core shell model
journal, March 2013

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

Extension of coupled-cluster theory with a noniterative treatment of connected triply excited clusters to three-body Hamiltonians
journal, November 2013

Effective field theory of nuclear forces
journal, January 1999

Colloquium : Three-body forces: From cold atoms to nuclei
journal, January 2013

Improved nuclear matter calculations from chiral low-momentum interactions
journal, March 2011

Medium-Mass Nuclei with Normal-Ordered Chiral $N N + 3 N$ Interactions
journal, July 2012

Infrared length scale and extrapolations for the no-core shell model
journal, June 2015

Few-nucleon forces from chiral Lagrangians
journal, June 1994

Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion
journal, September 2015

Generalized discrete variable approximation in quantum mechanics
journal, February 1985

Magnetic structure of light nuclei from lattice QCD
journal, December 2015

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

${}^{3}{He}$ and $p d$ scattering to next-to-leading order in pionless effective field theory
journal, June 2014

Calculation of Matrix Elements for One‐Dimensional Quantum‐Mechanical Problems and the Application to Anharmonic Oscillators
journal, September 1965

CODATA recommended values of the fundamental physical constants: 2010
journal, November 2012

Ultraviolet extrapolations in finite oscillator bases
journal, December 2014

Chiral potential renormalized in harmonic-oscillator space
journal, December 2016

Chiral effective field theory and nuclear forces
journal, June 2011

Coupled-cluster theory for three-body Hamiltonians
journal, September 2007

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

Two nucleon systems at $m_{π} \sim 450 MeV$ from lattice QCD
journal, December 2015

How short is too short? Constraining zero-range interactions in nucleon-nucleon scattering
journal, January 1997

Modern theory of nuclear forces
journal, December 2009

Three and four harmonically trapped particles in an effective-field-theory framework
journal, September 2010

Compilation of coupling constants and low-energy parameters
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Two-nucleon higher partial-wave scattering from lattice QCD
journal, February 2017

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

Light nuclei and hypernuclei from quantum chromodynamics in the limit of SU(3) flavor symmetry
journal, February 2013

Effective theory of ³ H and ³ He
journal, April 2016

Calculation of Matrix Elements for One‐Dimensional Quantum‐Mechanical Problems
journal, November 1968

Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis
journal, November 2012

A general framework for discrete variable representation basis sets
journal, May 2002

Using Effective Field Theory to analyse low-energy Compton scattering data from protons and light nuclei
journal, October 2012

Corrections to nuclear energies and radii in finite oscillator spaces
journal, September 2012

Nuclear Force from Lattice QCD
journal, July 2007

Structure of ${}^{78}{Ni}$ from First-Principles Computations
journal, October 2016

Universal few-body physics in a harmonic trap
journal, January 2011

Universal correlations in pion-less EFT with the resonating group model: three and four nucleons
conference, February 2010

Volume dependence of N -body bound states
journal, April 2018

Effective field theory in the harmonic oscillator basis
journal, April 2016

Infrared extrapolations of quadrupole moments and transitions
journal, April 2016

The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length
journal, July 2012

Coulomb effects in low energy proton–proton scattering
journal, February 2000

Effective field theory for halo nuclei: shallow -wave states
journal, December 2002

On the correlation between the binding energies of the triton and the α-particle
journal, February 2005

Structure of the Lightest Tin Isotopes
journal, April 2018

Nucleon-nucleon interaction in the $J$ -matrix inverse scattering approach and few-nucleon systems
journal, October 2004

Bound states of 4He with local interactions
journal, April 1975

The three-boson system with short-range interactions
journal, February 1999

Medium-heavy nuclei from nucleon-nucleon interactions in lattice QCD
journal, January 2015

Description of light nuclei in pionless effective field theory using the stochastic variational method
journal, September 2016

Renormalization of the Three-Body System with Short-Range Interactions
journal, January 1999

Review of Particle Physics
journal, August 2014

Electric properties of the Beryllium-11 system in Halo EFT
journal, August 2011

Morphing the Shell Model into an Effective Theory
journal, June 2000

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

Solution of the Center-Of-Mass Problem in Nuclear Structure Calculations
journal, August 2009

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

Universal correlations in pion-less EFT with the resonating group method: Three and four nucleons
journal, March 2010

αα scattering in halo effective field theory
journal, September 2008

Generalised meshes for quantum mechanical problems
journal, August 1986

Many-fermion theory in expS- (or coupled cluster) form
journal, February 1978

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

Deuteron and exotic two-body bound states from lattice QCD
journal, March 2012

Infrared extrapolations for atomic nuclei
journal, February 2015

Effective field theory of short-range forces
journal, January 1999

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

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS
journal, December 2002

Coupled-cluster computations of atomic nuclei
journal, September 2014

Effective field theory for dilute Fermi systems
journal, October 2000

Coupled-cluster theory in quantum chemistry
journal, February 2007

Nucleon-nucleon scattering parameters in the limit of SU(3) flavor symmetry
journal, August 2013

New $L^{2}$ approach to quantum scattering: Theory
journal, March 1974

Study of quark mass dependence of binding energy for light nuclei in $2 + 1$ flavor lattice QCD
journal, July 2015