Quantum Monte Carlo calculations of two neutrons in finite volume

Klos, P.; Lynn, J. E.; Tews, I.; Gandolfi, Stefano; Gezerlis, A.; Hammer, H. -W.; Hoferichter, M.; Schwenk, A.

doi:10.1103/PhysRevC.94.054005

Title: Quantum Monte Carlo calculations of two neutrons in finite volume

Abstract

Ab initio calculations provide direct access to the properties of pure neutron systems that are challenging to study experimentally. In addition to their importance for fundamental physics, their properties are required as input for effective field theories of the strong interaction. In this work, we perform auxiliary-field diffusion Monte Carlo calculations of the ground state and first excited state of two neutrons in a finite box, considering a simple contact potential as well as chiral effective field theory interactions. We compare the results against exact diagonalizations and present a detailed analysis of the finite-volume effects, whose understanding is crucial for determining observables from the calculated energies. Finally, using the Lüscher formula, we extract the low-energy S-wave scattering parameters from ground- and excited-state energies for different box sizes.

Authors:

Klos, P. ^[1]; Lynn, J. E. ^[1]; Tews, I. ^[2]; Gandolfi, Stefano ^[3]; Gezerlis, A. ^[4]; Hammer, H. -W. ^[1]; Hoferichter, M. ^[2]; Schwenk, A. ^[1]

Technische Univ. Darmstadt, Darmstadt (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
Univ. of Washington, Seattle, WA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of Guelph, Guelph, ON (Canada)

Publication Date:: Fri Nov 18 00:00:00 EST 2016

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Office of Science (SC). Nuclear Physics (NP) (SC-26); USDOE

OSTI Identifier:: 1338806

Alternate Identifier(s):: OSTI ID: 1332786

Report Number(s):: LA-UR-16-22057
Journal ID: ISSN 2469-9985; PRVCAN; TRN: US1701236

Grant/Contract Number:: AC52-06NA25396; FG02-00ER41132; AC02-05CH11231

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 94; Journal Issue: 5; Journal ID: ISSN 2469-9985

Publisher:: APS

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics

Citation Formats


                    Klos, P., Lynn, J. E., Tews, I., Gandolfi, Stefano, Gezerlis, A., Hammer, H. -W., Hoferichter, M., and Schwenk, A. Quantum Monte Carlo calculations of two neutrons in finite volume.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevC.94.054005.

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                    Klos, P., Lynn, J. E., Tews, I., Gandolfi, Stefano, Gezerlis, A., Hammer, H. -W., Hoferichter, M., & Schwenk, A. Quantum Monte Carlo calculations of two neutrons in finite volume.  United States.  https://doi.org/10.1103/PhysRevC.94.054005

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                    Klos, P., Lynn, J. E., Tews, I., Gandolfi, Stefano, Gezerlis, A., Hammer, H. -W., Hoferichter, M., and Schwenk, A. Fri .  
"Quantum Monte Carlo calculations of two neutrons in finite volume".  United States.  https://doi.org/10.1103/PhysRevC.94.054005.  https://www.osti.gov/servlets/purl/1338806.

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@article{osti_1338806,

  title        = {Quantum Monte Carlo calculations of two neutrons in finite volume},

  author       = {Klos, P. and Lynn, J. E. and Tews, I. and Gandolfi, Stefano and Gezerlis, A. and Hammer, H. -W. and Hoferichter, M. and Schwenk, A.},

  abstractNote = {Ab initio calculations provide direct access to the properties of pure neutron systems that are challenging to study experimentally. In addition to their importance for fundamental physics, their properties are required as input for effective field theories of the strong interaction. In this work, we perform auxiliary-field diffusion Monte Carlo calculations of the ground state and first excited state of two neutrons in a finite box, considering a simple contact potential as well as chiral effective field theory interactions. We compare the results against exact diagonalizations and present a detailed analysis of the finite-volume effects, whose understanding is crucial for determining observables from the calculated energies. Finally, using the Lüscher formula, we extract the low-energy S-wave scattering parameters from ground- and excited-state energies for different box sizes.},

  doi          = {10.1103/PhysRevC.94.054005},

  journal      = {Physical Review C},

  number       = 5,

  volume       = 94,

  place        = {United States},

  year         = {Fri Nov 18 00:00:00 EST 2016},

  month        = {Fri Nov 18 00:00:00 EST 2016}

}

Copy to clipboard

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Works referenced in this record:

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Works referencing / citing this record:

Signatures of few-body resonances in finite volume
text, January 2018

Klos, P.; König, S.; Hammer, H. -W.
arXiv
DOI: 10.48550/arxiv.1805.02029

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Title: Quantum Monte Carlo calculations of two neutrons in finite volume

Abstract

Citation Formats

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

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

Nuclear forces from chiral lagrangians journal, November 1990

Chiral effective field theory and nuclear forces journal, June 2011

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

Extracting the neutron–neutron scattering length—recent developments journal, April 2009

Nuclear physics from lattice QCD journal, January 2011

Nuclear Forces and Their Impact on Neutron-Rich Nuclei and Neutron-Rich Matter journal, October 2015

Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials journal, November 2014

Quantum Monte Carlo Method using Phase-Free Random Walks with Slater Determinants journal, April 2003

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

Nuclear chiral dynamics and thermodynamics journal, November 2013

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

Quantum Monte Carlo simulations of solids journal, January 2001

Modern theory of nuclear forces journal, December 2009

Effective Field Theory for Lattice Nuclei journal, February 2015

From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions journal, December 2014

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

Two nucleons on a lattice journal, April 2004

Signatures of unstable particles in finite volume journal, October 1991

The triton in a finite volume journal, January 2011

Neutron Matter from Low to High Density journal, October 2015

Two-particle states on a torus and their relation to the scattering matrix journal, May 1991

Three particles in a finite volume journal, May 2012

Three-particle scattering amplitudes from a finite volume formalism journal, May 2013

Spectra and scattering of light lattice nuclei from effective field theory journal, November 2015

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

Cubic harmonics as linear combinations of spherical harmonics journal, March 1972

Fitting two nucleons inside a box: Exponentially suppressed corrections to Lüscher’s formula journal, August 2007

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

The Δ-resonance in a finite volume journal, January 2008

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude journal, December 2015

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

Quantum Monte Carlo Calculations of A ≤ 6 Nuclei journal, May 1995

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

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states journal, June 1986

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

Signatures of few-body resonances in finite volume text, January 2018

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

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

Nuclear forces from chiral lagrangians
journal, November 1990

Chiral effective field theory and nuclear forces
journal, June 2011

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

Extracting the neutron–neutron scattering length—recent developments
journal, April 2009

Nuclear physics from lattice QCD
journal, January 2011

Nuclear Forces and Their Impact on Neutron-Rich Nuclei and Neutron-Rich Matter
journal, October 2015

Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
journal, November 2014

Quantum Monte Carlo Method using Phase-Free Random Walks with Slater Determinants
journal, April 2003

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

Nuclear chiral dynamics and thermodynamics
journal, November 2013

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

Quantum Monte Carlo simulations of solids
journal, January 2001

Modern theory of nuclear forces
journal, December 2009

Effective Field Theory for Lattice Nuclei
journal, February 2015

From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions
journal, December 2014

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

Two nucleons on a lattice
journal, April 2004

Signatures of unstable particles in finite volume
journal, October 1991

The triton in a finite volume
journal, January 2011

Neutron Matter from Low to High Density
journal, October 2015

Two-particle states on a torus and their relation to the scattering matrix
journal, May 1991

Three particles in a finite volume
journal, May 2012

Three-particle scattering amplitudes from a finite volume formalism
journal, May 2013

Spectra and scattering of light lattice nuclei from effective field theory
journal, November 2015

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

Cubic harmonics as linear combinations of spherical harmonics
journal, March 1972

Fitting two nucleons inside a box: Exponentially suppressed corrections to Lüscher’s formula
journal, August 2007

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

The Δ-resonance in a finite volume
journal, January 2008

Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
journal, December 2015

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

Quantum Monte Carlo Calculations of $A \leq 6$ Nuclei
journal, May 1995

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

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states
journal, June 1986

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

Signatures of few-body resonances in finite volume
text, January 2018