Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with m u d ≈ m s phys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method

Hörz, Ben; Howarth, Dean; Rinaldi, Enrico; Hanlon, Andrew; Chang, Chia Cheng; Körber, Christopher; Berkowitz, Evan; Bulava, John; Clark, M. A.; Lee, Wayne Tai; Morningstar, Colin; Nicholson, Amy; Vranas, Pavlos; Walker-Loud, André

doi:10.1103/PhysRevC.103.014003

Title: Two-nucleon $S$ -wave interactions at the SU(3) flavor-symmetric point with $m_{u d} \approx m_{s}^{phys}$ : A first lattice QCD calculation with the stochastic Laplacian Heaviside method

Abstract

We report on the first application of the stochastic Laplacian Heaviside method for computing multiparticle interactions with lattice QCD to the two-nucleon system. Like the Laplacian Heaviside method, this method allows for the construction of interpolating operators which can be used to construct a set of positive-definite two-nucleon correlation functions, unlike nearly all other applications of lattice QCD to two nucleons in the literature. It also allows for a variational analysis in which optimal linear combinations of the interpolating operators are formed that couple predominantly to the eigenstates of the system. Utilizing such methods has become of paramount importance to help resolve the discrepancy in the literature on whether two nucleons in either isospin channel form a bound state at pion masses heavier than physical, with the discrepancy persisting even in the SU(3)-flavor-symmetric point with all quark masses near the physical strange quark mass. This is the first in a series of papers aimed at resolving this discrepancy. In the present work, we employ the stochastic Laplacian Heaviside method without a hexaquark operator in the basis at a lattice spacing of a ≈ 0.086 fm, lattice volume of L=48 a ≈ 4.1 fm and pion mass m_π ≈ 714 MeV.more »« less

Authors:

; Howarth, Dean;

;

; Bulava, John; Clark, M. A.;

; Morningstar, Colin; Nicholson, Amy;

;

Publication Date:: Tue Jan 19 00:00:00 EST 2021

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

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1771842

Alternate Identifier(s):: OSTI ID: 1810792; OSTI ID: 1820550

Report Number(s):: LLNL-JRNL-813871
Journal ID: ISSN 2469-9985; PRVCAN; 014003

Grant/Contract Number:: AC02-05CH11231; AC05-00OR22725; AC52-07NA27344; FG02-93ER-40762

Resource Type:: Published Article

Journal Name:: Physical Review C

Additional Journal Information:: Journal Name: Physical Review C Journal Volume: 103 Journal Issue: 1; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Hörz, Ben, Howarth, Dean, Rinaldi, Enrico, Hanlon, Andrew, Chang, Chia Cheng, Körber, Christopher, Berkowitz, Evan, Bulava, John, Clark, M. A., Lee, Wayne Tai, Morningstar, Colin, Nicholson, Amy, Vranas, Pavlos, and Walker-Loud, André. Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with m u d ≈ m s phys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevC.103.014003.

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                    Hörz, Ben, Howarth, Dean, Rinaldi, Enrico, Hanlon, Andrew, Chang, Chia Cheng, Körber, Christopher, Berkowitz, Evan, Bulava, John, Clark, M. A., Lee, Wayne Tai, Morningstar, Colin, Nicholson, Amy, Vranas, Pavlos, & Walker-Loud, André. Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with m u d ≈ m s phys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method.  United States.  https://doi.org/10.1103/PhysRevC.103.014003

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                    Hörz, Ben, Howarth, Dean, Rinaldi, Enrico, Hanlon, Andrew, Chang, Chia Cheng, Körber, Christopher, Berkowitz, Evan, Bulava, John, Clark, M. A., Lee, Wayne Tai, Morningstar, Colin, Nicholson, Amy, Vranas, Pavlos, and Walker-Loud, André. Tue .  
"Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with m u d ≈ m s phys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method".  United States.  https://doi.org/10.1103/PhysRevC.103.014003.

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@article{osti_1771842,

  title        = {Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with m u d ≈ m s phys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method},

  author       = {Hörz, Ben and Howarth, Dean and Rinaldi, Enrico and Hanlon, Andrew and Chang, Chia Cheng and Körber, Christopher and Berkowitz, Evan and Bulava, John and Clark, M. A. and Lee, Wayne Tai and Morningstar, Colin and Nicholson, Amy and Vranas, Pavlos and Walker-Loud, André},

  abstractNote = {We report on the first application of the stochastic Laplacian Heaviside method for computing multiparticle interactions with lattice QCD to the two-nucleon system. Like the Laplacian Heaviside method, this method allows for the construction of interpolating operators which can be used to construct a set of positive-definite two-nucleon correlation functions, unlike nearly all other applications of lattice QCD to two nucleons in the literature. It also allows for a variational analysis in which optimal linear combinations of the interpolating operators are formed that couple predominantly to the eigenstates of the system. Utilizing such methods has become of paramount importance to help resolve the discrepancy in the literature on whether two nucleons in either isospin channel form a bound state at pion masses heavier than physical, with the discrepancy persisting even in the SU(3)-flavor-symmetric point with all quark masses near the physical strange quark mass. This is the first in a series of papers aimed at resolving this discrepancy. In the present work, we employ the stochastic Laplacian Heaviside method without a hexaquark operator in the basis at a lattice spacing of a ≈ 0.086 fm, lattice volume of L=48 a ≈ 4.1 fm and pion mass mπ ≈ 714 MeV. With this setup, the observed spectrum of two-nucleon energy levels strongly disfavors the presence of a bound state in either the deuteron or dineutron channel.},

  doi          = {10.1103/PhysRevC.103.014003},

  journal      = {Physical Review C},

  number       = 1,

  volume       = 103,

  place        = {United States},

  year         = {Tue Jan 19 00:00:00 EST 2021},

  month        = {Tue Jan 19 00:00:00 EST 2021}

}

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Measurement of $B_{s}^{0}$ meson production in pp and PbPb collisions at $\sqrt{s_{NN}} = 5.02$ TeV

Journal Article Sirunyan, A. M. ; Tumasyan, A. ; Adam, W. ; ... - Physics Letters. B

The production cross sections of Bmore »« less
Cited by 15
https://doi.org/10.1016/j.physletb.2019.07.014
Observation of the $B_{c}^{+}$ Meson in Pb-Pb and $p p$ Collisions at $\sqrt{s_{N N}} = 5.02 TeV$ and Measurement of its Nuclear Modification Factor

Journal Article Tumasyan, A. ; Adam, W. ; Andrejkovic, J. W. ; ... - Physical Review Letters

Themore »« less
https://doi.org/10.1103/PhysRevLett.128.252301
$Λ_{c} \to N$ form factors from lattice QCD and phenomenology of $Λ_{c} \to n ℓ^{+} ν_{ℓ}$ and $Λ_{c} \to p μ^{+} μ^{-}$ decays

Journal Article Meinel, Stefan - Physical Review D

We report on a lattice QCD determination of the Λ_c→N vector, axial vector, and tensor form factors. Here, the calculation was performed with 2+1 flavors of domain wall fermions at lattice spacings of a≈0.11 and 0.085 fm and pion masses in the range 230 MeV≲ m_π ≲ 350 MeV. The form factors are extrapolated to the continuum limit and the physical pion mass using modified z expansions. The rates of the charged-current decays Λ_c→ne+ν_e and Λ_c→nμ+ν_μ are predicted to be (0.405 ± 0.016_stat ± 0.020_syst)|V_cd|²ps^₋1 and (0.396 ± 0.016_stat ± 0.020_syst)|V_cd|²ps^₋1, respectively. The phenomenology of the rare charm decay Λ_c→pμ+μ₋more »« less
Cited by 36
https://doi.org/10.1103/PhysRevD.97.034511

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Title: Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with m u d ≈ m s phys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method

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Citation Formats

Construction of energy-independent potentials above inelastic thresholds in quantum field theories journal, February 2013

Rummukainen-Gottlieb formula on a two-particle system with different masses journal, January 2012

Multiple-channel generalization of Lellouch-Lüscher formula journal, July 2012

Solving lattice QCD systems of equations using mixed precision solvers on GPUs journal, September 2010

Multi-hadron spectroscopy in a large physical volume journal, January 2018

Light hadron spectroscopy using domain wall valence quarks on an asqtad sea journal, March 2009

Extracting scattering phase shifts in higher partial waves from lattice QCD calculations journal, June 2011

Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD journal, June 2011

Estimating the two-particle K -matrix for multiple partial waves and decay channels from finite-volume energies journal, November 2017

Nucleon-Nucleon Scattering from Fully Dynamical Lattice QCD journal, July 2006

Resonance scattering phase shifts on a non-rest-frame lattice journal, September 1995

Two-nucleon systems in a finite volume: Quantization conditions journal, August 2013

Two-baryon potentials and H-dibaryon from 3-flavor lattice QCD simulations journal, May 2012

Mirage in temporal correlation functions for baryon-baryon interactions in lattice QCD journal, October 2016

Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula journal, August 2017

Hadron–hadron interactions from imaginary-time Nambu–Bethe–Salpeter wave function on the lattice journal, June 2012

Comparison of different source calculations in two-nucleon channel at large quark mass journal, January 2018

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

Novel quark-field creation operator construction for hadronic physics in lattice QCD journal, September 2009

Evidence for a Bound H Dibaryon from Lattice QCD journal, April 2011

Extended hadron and two-hadron operators of definite momentum for spectrum calculations in lattice QCD journal, July 2013

Coupled π π , K K ¯ scattering in P -wave and the ρ resonance from lattice QCD journal, November 2015

Scattering phase shifts for two particles of different mass and nonzero total momentum in lattice QCD journal, June 2012

Two-particle multichannel systems in a finite volume with arbitrary spin journal, April 2014

Bound H Dibaryon in Flavor SU(3) Limit of Lattice QCD journal, April 2011

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

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

Systematics of the HAL QCD potential at low energies in lattice QCD journal, January 2019

Practical all-to-all propagators for lattice QCD journal, November 2005

New ideas in constraining nuclear forces journal, August 2020

Baryon-baryon interactions and spin-flavor symmetry from lattice quantum chromodynamics journal, December 2017

Lattice QCD Inputs for nuclear double beta decay journal, May 2020

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

Constrained curve fitting journal, March 2002

Analytic smearing of SU ( 3 ) link variables in lattice QCD journal, March 2004

Short-range interactions in an effective field theory approach for nucleon-nucleon scattering journal, August 1997

Erratum: Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)] journal, November 2014

Scattering in the π N negative parity channel in lattice QCD journal, March 2013

Scattering phases for meson and baryon resonances on general moving-frame lattices journal, November 2012

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

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

High statistics analysis using anisotropic clover lattices. II. Three-baryon systems journal, October 2009

Job Management and Task Bundling journal, January 2018

Helium nuclei, deuteron, and dineutron in 2 + 1 flavor lattice QCD journal, October 2012

I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD journal, September 2016

Effective Field Theory for Lattice Nuclei journal, February 2015

Finite-volume matrix Hamiltonian model for a Δ → N π system journal, May 2013

Resonances in Coupled π K − η K Scattering from Quantum Chromodynamics journal, October 2014

Resonances in coupled π K , η K scattering from lattice QCD journal, March 2015

Lattice quantum chromodynamical approach to nuclear physics journal, January 2012

Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition journal, June 2020

Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD journal, October 2019

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

Lower Limit for the Energy Derivative of the Scattering Phase Shift journal, April 1955

Elastic I = 3 / 2 p -wave nucleon-pion scattering amplitude and the Δ ( 1232 ) resonance from N f = 2 + 1 lattice QCD journal, January 2018

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

Rho resonance parameters from lattice QCD journal, August 2016

I = 2 π π S -wave scattering phase shift from lattice QCD journal, February 2012

Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD journal, February 2013

An a 0 resonance in strongly coupled π η , K K ¯ scattering from lattice QCD journal, May 2016

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

Nuclear Force from Lattice QCD journal, July 2007

High statistics analysis using anisotropic clover lattices: III. Baryon-baryon interactions journal, March 2010

Phase shift of isospin-2 π π scattering from lattice QCD journal, April 2011

Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD journal, July 2018

Finite-volume Hamiltonian method for coupled-channels interactions in lattice QCD journal, November 2014

Quark-Mass Dependence of Elastic π K Scattering from QCD journal, July 2019

Low-energy theorems for nucleon-nucleon scattering at M π = 450 MeV journal, July 2016

Hadron scattering lengths in lattice QCD journal, September 1995

Finite-volume effects for two-hadron states in moving frames journal, October 2005

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

Viability of lattice perturbation theory journal, September 1993

Theoretical Foundation of the Nuclear Force in QCD and Its Applications to Central and Tensor Forces in Quenched Lattice QCD Simulations journal, January 2010

Setting the scale for the CLS 2 + 1 flavor ensembles journal, April 2017

Simulation of QCD with N f = 2 + 1 flavors of non-perturbatively improved Wilson fermions journal, February 2015

Lattice QCD study of the H dibaryon using hexaquark and two-baryon interpolators journal, April 2019

Non-singlet axial vector couplings of the baryon octet in lattice QCD journal, August 1989

Title: Two-nucleon $S$ -wave interactions at the SU(3) flavor-symmetric point with $m_{u d} \approx m_{s}^{phys}$ : A first lattice QCD calculation with the stochastic Laplacian Heaviside method

Construction of energy-independent potentials above inelastic thresholds in quantum field theories
journal, February 2013

Rummukainen-Gottlieb formula on a two-particle system with different masses
journal, January 2012

Multiple-channel generalization of Lellouch-Lüscher formula
journal, July 2012

Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010

Multi-hadron spectroscopy in a large physical volume
journal, January 2018

Light hadron spectroscopy using domain wall valence quarks on an asqtad sea
journal, March 2009

Extracting scattering phase shifts in higher partial waves from lattice QCD calculations
journal, June 2011

Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
journal, June 2011

Estimating the two-particle K -matrix for multiple partial waves and decay channels from finite-volume energies
journal, November 2017

Nucleon-Nucleon Scattering from Fully Dynamical Lattice QCD
journal, July 2006

Resonance scattering phase shifts on a non-rest-frame lattice
journal, September 1995

Two-nucleon systems in a finite volume: Quantization conditions
journal, August 2013

Two-baryon potentials and H-dibaryon from 3-flavor lattice QCD simulations
journal, May 2012

Mirage in temporal correlation functions for baryon-baryon interactions in lattice QCD
journal, October 2016

Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula
journal, August 2017

Hadron–hadron interactions from imaginary-time Nambu–Bethe–Salpeter wave function on the lattice
journal, June 2012

Comparison of different source calculations in two-nucleon channel at large quark mass
journal, January 2018

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

Novel quark-field creation operator construction for hadronic physics in lattice QCD
journal, September 2009

Evidence for a Bound $H$ Dibaryon from Lattice QCD
journal, April 2011

Extended hadron and two-hadron operators of definite momentum for spectrum calculations in lattice QCD
journal, July 2013

Coupled $π π$ , $K \bar{K}$ scattering in $P$ -wave and the $ρ$ resonance from lattice QCD
journal, November 2015

Scattering phase shifts for two particles of different mass and nonzero total momentum in lattice QCD
journal, June 2012

Two-particle multichannel systems in a finite volume with arbitrary spin
journal, April 2014

Bound $H$ Dibaryon in Flavor SU(3) Limit of Lattice QCD
journal, April 2011

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

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

Systematics of the HAL QCD potential at low energies in lattice QCD
journal, January 2019

Practical all-to-all propagators for lattice QCD
journal, November 2005

New ideas in constraining nuclear forces
journal, August 2020

Baryon-baryon interactions and spin-flavor symmetry from lattice quantum chromodynamics
journal, December 2017

Lattice QCD Inputs for nuclear double beta decay
journal, May 2020

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

Constrained curve fitting
journal, March 2002

Analytic smearing of $SU (3)$ link variables in lattice QCD
journal, March 2004

Short-range interactions in an effective field theory approach for nucleon-nucleon scattering
journal, August 1997

Erratum: Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)]
journal, November 2014

Scattering in the $π N$ negative parity channel in lattice QCD
journal, March 2013

Scattering phases for meson and baryon resonances on general moving-frame lattices
journal, November 2012

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

High statistics analysis using anisotropic clover lattices. II. Three-baryon systems
journal, October 2009

Job Management and Task Bundling
journal, January 2018

Helium nuclei, deuteron, and dineutron in $2 + 1$ flavor lattice QCD
journal, October 2012

I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD
journal, September 2016

Effective Field Theory for Lattice Nuclei
journal, February 2015

Finite-volume matrix Hamiltonian model for a $Δ \to N π$ system
journal, May 2013

Resonances in Coupled $π K − η K$ Scattering from Quantum Chromodynamics
journal, October 2014

Resonances in coupled $π K, η K$ scattering from lattice QCD
journal, March 2015

Lattice quantum chromodynamical approach to nuclear physics
journal, January 2012

Efficient solution of the multichannel Lüscher determinant condition through eigenvalue decomposition
journal, June 2020

Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD
journal, October 2019

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

Lower Limit for the Energy Derivative of the Scattering Phase Shift
journal, April 1955

Elastic $I = 3 / 2$ $p$ -wave nucleon-pion scattering amplitude and the $Δ (1232)$ resonance from $N_{f} = 2 + 1$ lattice QCD
journal, January 2018

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

Rho resonance parameters from lattice QCD
journal, August 2016

$I = 2$ $π π$ $S$ -wave scattering phase shift from lattice QCD
journal, February 2012

Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD
journal, February 2013

An $a_{0}$ resonance in strongly coupled $π η$ , $K \bar{K}$ scattering from lattice QCD
journal, May 2016

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

Nuclear Force from Lattice QCD
journal, July 2007

High statistics analysis using anisotropic clover lattices: III. Baryon-baryon interactions
journal, March 2010

Phase shift of isospin-2 $π π$ scattering from lattice QCD
journal, April 2011

Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD
journal, July 2018

Finite-volume Hamiltonian method for coupled-channels interactions in lattice QCD
journal, November 2014

Quark-Mass Dependence of Elastic $π K$ Scattering from QCD
journal, July 2019

Low-energy theorems for nucleon-nucleon scattering at $M_{π} = 450$ MeV
journal, July 2016

Hadron scattering lengths in lattice QCD
journal, September 1995

Finite-volume effects for two-hadron states in moving frames
journal, October 2005

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

Viability of lattice perturbation theory
journal, September 1993

Theoretical Foundation of the Nuclear Force in QCD and Its Applications to Central and Tensor Forces in Quenched Lattice QCD Simulations
journal, January 2010

Setting the scale for the CLS $2 + 1$ flavor ensembles
journal, April 2017

Simulation of QCD with N f = 2 + 1 flavors of non-perturbatively improved Wilson fermions
journal, February 2015

Lattice QCD study of the $H$ dibaryon using hexaquark and two-baryon interpolators
journal, April 2019

Non-singlet axial vector couplings of the baryon octet in lattice QCD
journal, August 1989

Hyperon-Nucleon Interactions from Quantum Chromodynamics and the Composition of Dense Nuclear Matter
journal, October 2012

B-meson properties from lattice QCD
journal, February 1991