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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

Journal Article · · Physical Review C

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.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC02-05CH11231; AC05-00OR22725; AC52-07NA27344; FG02-93ER-40762
OSTI ID:
1771842
Alternate ID(s):
OSTI ID: 1810792; OSTI ID: 1820550
Report Number(s):
LLNL-JRNL-813871; PRVCAN; 014003
Journal Information:
Physical Review C, Journal Name: Physical Review C Vol. 103 Journal Issue: 1; ISSN 2469-9985
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (80)

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
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
The Chroma Software System for Lattice QCD journal March 2005

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