Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order

Li, Ning; Elhatisari, Serdar; Epelbaum, Evgeny; Lee, Dean; Lu, Bing-Nan; Meißner, Ulf-G.

doi:10.1103/physrevc.98.044002

Title: Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order

Abstract

Here we present a new lattice formulation of chiral effective field theory interactions with a simpler decomposition into spin channels. With these interactions the process of fitting to the empirical scattering phase shifts is simplified, and the resulting lattice phase shifts are more accurate than in previous studies. We present results for the neutron-proton system up to next-to-next-to-next-to-leading order for lattice spacings of 1.97, 1.64, 1.32, and 0.99 fm. Our results provide a pathway to ab initio lattice calculations of nuclear structure, reactions, and thermodynamics with accurate and systematic control over the chiral nucleon-nucleon force.

Authors:

Li, Ning ^[1]; Elhatisari, Serdar ^[2]; Epelbaum, Evgeny ^[3]; Lee, Dean ^[4]; Lu, Bing-Nan ^[1]; Meißner, Ulf-G. ^[5]

Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy. Facility for Rare Isotope Beams (FRIB)
Univ. of Bonn (Germany); Karamanoglu Mehmetbey Univ. Karaman (Turkey)
Ruhr Univ., Bochum (Germany)
Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy. Facility for Rare Isotope Beams (FRIB); ; North Carolina State Univ., Raleigh, NC (United States)
Univ. of Bonn (Germany); Forschungszentrum Juelich (Germany)

Publication Date:: Tue Oct 16 00:00:00 EDT 2018

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Michigan State Univ., East Lansing, MI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); German Research Foundation (DFG); German Federal Ministry of Education and Research (BMBF); Scientific and Technological Research Council of Turkey (TUBITAK); Chinese Academy of Sciences (CAS)

OSTI Identifier:: 1565770

Alternate Identifier(s):: OSTI ID: 1478560

Report Number(s):: arXiv:1806.07994v3
Journal ID: ISSN 2469-9985; PRVCAN

Grant/Contract Number:: SC0018638; 05P15PCFN1; 116F400; 2018DM0034

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 98; Journal Issue: 4; 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


                    Li, Ning, Elhatisari, Serdar, Epelbaum, Evgeny, Lee, Dean, Lu, Bing-Nan, and Meißner, Ulf-G. Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order.  United States: N. p., 2018. 
Web.  doi:10.1103/physrevc.98.044002.

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                    Li, Ning, Elhatisari, Serdar, Epelbaum, Evgeny, Lee, Dean, Lu, Bing-Nan, & Meißner, Ulf-G. Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order.  United States.  https://doi.org/10.1103/physrevc.98.044002

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                    Li, Ning, Elhatisari, Serdar, Epelbaum, Evgeny, Lee, Dean, Lu, Bing-Nan, and Meißner, Ulf-G. Tue .  
"Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order".  United States.  https://doi.org/10.1103/physrevc.98.044002.  https://www.osti.gov/servlets/purl/1565770.

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@article{osti_1565770,

  title        = {Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order},

  author       = {Li, Ning and Elhatisari, Serdar and Epelbaum, Evgeny and Lee, Dean and Lu, Bing-Nan and Meißner, Ulf-G.},

  abstractNote = {Here we present a new lattice formulation of chiral effective field theory interactions with a simpler decomposition into spin channels. With these interactions the process of fitting to the empirical scattering phase shifts is simplified, and the resulting lattice phase shifts are more accurate than in previous studies. We present results for the neutron-proton system up to next-to-next-to-next-to-leading order for lattice spacings of 1.97, 1.64, 1.32, and 0.99 fm. Our results provide a pathway to ab initio lattice calculations of nuclear structure, reactions, and thermodynamics with accurate and systematic control over the chiral nucleon-nucleon force.},

  doi          = {10.1103/physrevc.98.044002},

  journal      = {Physical Review C},

  number       = 4,

  volume       = 98,

  place        = {United States},

  year         = {Tue Oct 16 00:00:00 EDT 2018},

  month        = {Tue Oct 16 00:00:00 EDT 2018}

}

Copy to clipboard

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Works referencing / citing this record:

Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
journal, December 2019

Bovermann, Lukas; Epelbaum, Evgeny; Krebs, Hermann
Physical Review C, Vol. 100, Issue 6
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Title: Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order

Abstract

Citation Formats

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

Nuclear forces from chiral lagrangians journal, November 1990

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

Ab Initio Calculation of the Hoyle State journal, May 2011

Nucleon-deuteron scattering using the adiabatic projection method journal, June 2016

On the Consequences of the Symmetry of the Nuclear Hamiltonian on the Spectroscopy of Nuclei journal, January 1937

Ab initio alpha–alpha scattering journal, December 2015

A recipe for EFT uncertainty quantification in nuclear physics journal, February 2015

Quadrupole moment of the deuteron from a precise calculation of the electric field gradient in D 2 journal, August 1979

Nuclear Binding Near a Quantum Phase Transition journal, September 2016

Modern theory of nuclear forces journal, December 2009

Hydrogen-Deuterium 1 S − 2 S Isotope Shift and the Structure of the Deuteron journal, January 1998

Ab initio Calculations of the Isotopic Dependence of Nuclear Clustering journal, December 2017

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

Temperature-dependent errors in nuclear lattice simulations journal, June 2007

The deuteron asymptotic D-state as a probe of the nucleon-nucleon force journal, September 1983

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

Asymptotic D -state to S -state ratio of the deuteron journal, March 1990

Lattice simulations for few- and many-body systems journal, July 2009

Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order journal, May 2018

The Tjon band in Nuclear Lattice Effective Field Theory journal, July 2018

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

Phase-Shift Analysis of 310-Mev Proton-Proton Scattering Experiments journal, January 1957

Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory journal, January 2015

The deuteron binding energy journal, May 1982

Chiral 2 π -exchange NN potentials: Two-loop contributions journal, October 2001

Measurability of the deuteron D state probability journal, July 1979

Quantifying truncation errors in effective field theory journal, August 2015

Precise determination of lattice phase shifts and mixing angles journal, September 2016

The two-nucleon system at next-to-next-to-next-to-leading order journal, January 2005

Structure and Rotations of the Hoyle State journal, December 2012

Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory journal, May 2017

Chiral effective field theory on the lattice at next-to-leading order journal, March 2008

Lattice simulations for few- and many-body systems text, January 2008

Modern Theory of Nuclear Forces text, January 2008

Precision nucleon-nucleon potential at fifth order in the chiral expansion text, January 2014

Precise determination of lattice phase shifts and mixing angles text, January 2015

Nuclear binding near a quantum phase transition text, January 2016

Temperature-dependent errors in nuclear lattice simulations text, January 2007

Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice journal, December 2019

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

Nuclear forces from chiral lagrangians
journal, November 1990

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

Ab Initio Calculation of the Hoyle State
journal, May 2011

Nucleon-deuteron scattering using the adiabatic projection method
journal, June 2016

On the Consequences of the Symmetry of the Nuclear Hamiltonian on the Spectroscopy of Nuclei
journal, January 1937

Ab initio alpha–alpha scattering
journal, December 2015

A recipe for EFT uncertainty quantification in nuclear physics
journal, February 2015

Quadrupole moment of the deuteron from a precise calculation of the electric field gradient in $D_{2}$
journal, August 1979

Nuclear Binding Near a Quantum Phase Transition
journal, September 2016

Modern theory of nuclear forces
journal, December 2009

Hydrogen-Deuterium $1 S - 2 S$ Isotope Shift and the Structure of the Deuteron
journal, January 1998

Ab initio Calculations of the Isotopic Dependence of Nuclear Clustering
journal, December 2017

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

Temperature-dependent errors in nuclear lattice simulations
journal, June 2007

The deuteron asymptotic D-state as a probe of the nucleon-nucleon force
journal, September 1983

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

Asymptotic D -state to S -state ratio of the deuteron
journal, March 1990

Lattice simulations for few- and many-body systems
journal, July 2009

Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
journal, May 2018

The Tjon band in Nuclear Lattice Effective Field Theory
journal, July 2018

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

Phase-Shift Analysis of 310-Mev Proton-Proton Scattering Experiments
journal, January 1957

Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
journal, January 2015

The deuteron binding energy
journal, May 1982

Chiral $2 π$ -exchange $NN$ potentials: Two-loop contributions
journal, October 2001

Measurability of the deuteron $D$ state probability
journal, July 1979

Quantifying truncation errors in effective field theory
journal, August 2015

Precise determination of lattice phase shifts and mixing angles
journal, September 2016

The two-nucleon system at next-to-next-to-next-to-leading order
journal, January 2005

Structure and Rotations of the Hoyle State
journal, December 2012

Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
journal, May 2017

Chiral effective field theory on the lattice at next-to-leading order
journal, March 2008

Lattice simulations for few- and many-body systems
text, January 2008

Modern Theory of Nuclear Forces
text, January 2008

Precision nucleon-nucleon potential at fifth order in the chiral expansion
text, January 2014

Precise determination of lattice phase shifts and mixing angles
text, January 2015

Nuclear binding near a quantum phase transition
text, January 2016

Temperature-dependent errors in nuclear lattice simulations
text, January 2007

Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
journal, December 2019