skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Baryon-baryon interactions and spin-flavor symmetry from lattice quantum chromodynamics

Abstract

Lattice quantum chromodynamics is used to constrain the interactions of two octet baryons at the SU(3) flavor-symmetric point, with quark masses that are heavier than those in nature (equal to that of the physical strange quark mass and corresponding to a pion mass of $$\approx 806~\tt{MeV}$$). Specifically, the S-wave scattering phase shifts of two-baryon systems at low energies are obtained with the application of L\"uscher's formalism, mapping the energy eigenvalues of two interacting baryons in a finite volume to the two-particle scattering amplitudes below the relevant inelastic thresholds. The values of the leading-order low-energy scattering parameters in the irreducible representations of SU(3) are consistent with an approximate SU(6) spin-flavor symmetry in the nuclear and hypernuclear forces that is predicted in the large-$$N_c$$ limit of QCD. The two distinct SU(6)-invariant interactions between two baryons are constrained at this value of the quark masses, and their values indicate an approximate accidental SU(16) symmetry. The SU(3) irreducible representations containing the $$NN~({^1}S_0)$$, $$NN~({^3}S_1)$$ and $$\frac{1}{\sqrt{2}}(\Xi^0n+\Xi^-p)~({^3}S_1)$$ channels unambiguously exhibit a single bound state, while the irreducible representation containing the $$\Sigma^+ p~({^3}S_1)$$ channel exhibits a state that is consistent with either a bound state or a scattering state close to threshold. These results are in agreementmore » with the previous conclusions of the NPLQCD collaboration regarding the existence of two-nucleon bound states at this value of the quark masses.« less

Authors:
 [1];  [2];  [1];  [3];  [3];  [4];  [1];  [3]
  1. Univ. of Washington, Seattle, WA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  4. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Org.:
NPLQCD Collaboration
OSTI Identifier:
1418439
Alternate Identifier(s):
OSTI ID: 1416436
Report Number(s):
JLAB-CIO-17-2632; DOE/OR/23177-4321; arXiv:1706.06550
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1801272
Grant/Contract Number:  
NSF PHY11-25915; AC02-05CH11231; AC05-00OR22725; SC0010495; SC0011090; FG02-04ER41302; AC05-06OR23177; FG02-00ER41132; SC0010337
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Wagman, Michael L., Winter, Frank, Chang, Emmanuel, Davoudi, Zohreh, Detmold, William, Orginos, Kostas, Savage, Martin J., and Shanahan, Phiala E. Baryon-baryon interactions and spin-flavor symmetry from lattice quantum chromodynamics. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.114510.
Wagman, Michael L., Winter, Frank, Chang, Emmanuel, Davoudi, Zohreh, Detmold, William, Orginos, Kostas, Savage, Martin J., & Shanahan, Phiala E. Baryon-baryon interactions and spin-flavor symmetry from lattice quantum chromodynamics. United States. https://doi.org/10.1103/PhysRevD.96.114510
Wagman, Michael L., Winter, Frank, Chang, Emmanuel, Davoudi, Zohreh, Detmold, William, Orginos, Kostas, Savage, Martin J., and Shanahan, Phiala E. 2017. "Baryon-baryon interactions and spin-flavor symmetry from lattice quantum chromodynamics". United States. https://doi.org/10.1103/PhysRevD.96.114510. https://www.osti.gov/servlets/purl/1418439.
@article{osti_1418439,
title = {Baryon-baryon interactions and spin-flavor symmetry from lattice quantum chromodynamics},
author = {Wagman, Michael L. and Winter, Frank and Chang, Emmanuel and Davoudi, Zohreh and Detmold, William and Orginos, Kostas and Savage, Martin J. and Shanahan, Phiala E.},
abstractNote = {Lattice quantum chromodynamics is used to constrain the interactions of two octet baryons at the SU(3) flavor-symmetric point, with quark masses that are heavier than those in nature (equal to that of the physical strange quark mass and corresponding to a pion mass of $\approx 806~\tt{MeV}$). Specifically, the S-wave scattering phase shifts of two-baryon systems at low energies are obtained with the application of L\"uscher's formalism, mapping the energy eigenvalues of two interacting baryons in a finite volume to the two-particle scattering amplitudes below the relevant inelastic thresholds. The values of the leading-order low-energy scattering parameters in the irreducible representations of SU(3) are consistent with an approximate SU(6) spin-flavor symmetry in the nuclear and hypernuclear forces that is predicted in the large-$N_c$ limit of QCD. The two distinct SU(6)-invariant interactions between two baryons are constrained at this value of the quark masses, and their values indicate an approximate accidental SU(16) symmetry. The SU(3) irreducible representations containing the $NN~({^1}S_0)$, $NN~({^3}S_1)$ and $\frac{1}{\sqrt{2}}(\Xi^0n+\Xi^-p)~({^3}S_1)$ channels unambiguously exhibit a single bound state, while the irreducible representation containing the $\Sigma^+ p~({^3}S_1)$ channel exhibits a state that is consistent with either a bound state or a scattering state close to threshold. These results are in agreement with the previous conclusions of the NPLQCD collaboration regarding the existence of two-nucleon bound states at this value of the quark masses.},
doi = {10.1103/PhysRevD.96.114510},
url = {https://www.osti.gov/biblio/1418439}, journal = {Physical Review D},
issn = {2470-0010},
number = 11,
volume = 96,
place = {United States},
year = {Thu Dec 28 00:00:00 EST 2017},
month = {Thu Dec 28 00:00:00 EST 2017}
}

Journal Article:

Citation Metrics:
Cited by: 50 works
Citation information provided by
Web of Science

Figures / Tables:

TABLE I: TABLE I:: The parameters of the gauge-field ensembles used in this work. See Ref. [20] for more details.

Save / Share:

Works referenced in this record:

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


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


Topological phases for bound states moving in a finite volume
journal, November 2011


Moving multichannel systems in a finite volume with application to proton-proton fusion
journal, November 2013


Double- β decay matrix elements from lattice quantum chromodynamics
journal, September 2017


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


Dense Matter in Compact Stars: Theoretical Developments and Observational Constraints
journal, November 2006


Total cross section of the reaction pp→pK+Λ close to threshold
journal, February 1998


The spin-flavor dependence of nuclear forces from large-N QCD
journal, January 1996


Hyperon–nucleon force from lattice QCD
journal, March 2009


A meson exchange model for the hyperon-nucleon interaction
journal, August 1989


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


Two-baryon systems with twisted boundary conditions
journal, April 2014


A new approach for Delta form factors
conference, January 2011

  • Aubin, C.; Orginos, K.; Armstrong, David
  • 12TH INTERNATIONAL CONFERENCE ON MESON-NUCLEON PHYSICS AND THE STRUCTURE OF THE NUCLEON (MENU 2010), AIP Conference Proceedings
  • https://doi.org/10.1063/1.3647217

Present Constraints on the H-Dibaryon at the Physical Point from Lattice qcd
journal, November 2011


Two particle states and the S -matrix elements in multi-channel scattering
journal, July 2005


Correlated ππ and exchange in the baryon-baryon interaction
journal, October 1996


Nuclear physics from lattice QCD
journal, January 2011


The nuclear force from Monte Carlo simulations of lattice quantum chromodynamics
journal, October 2008


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


Spin-2 NΩ dibaryon from lattice QCD
journal, August 2014


Hyperon–nucleon interaction at next-to-leading order in chiral effective field theory
journal, October 2013


B B potentials in quenched lattice QCD
journal, December 2007


Finite volume corrections to the two-particle decay of states with nonzero momentum
journal, December 2005


Hyperon–nucleon scattering from fully-dynamical lattice QCD
journal, October 2007


Soft-core hyperon-nucleon potentials
journal, January 1999


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


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


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


Quark-mass dependence of two-nucleon observables
journal, November 2012


Neutron-Proton Scattering with Spin-Orbit Coupling. I. General Expressions
journal, May 1952


On-shell improved lattice gauge theories
journal, September 1985


Two-nucleon systems in a finite volume. II. S 1 3 D 1 3 coupled channels and the deuteron
journal, December 2013


Evidence for a narrow resonance at 1530MeV/c2 in the K0p-system of the reaction pp→Σ+K0p from the COSY-TOF experiment
journal, August 2004


Signal/noise enhancement strategies for stochastically estimated correlation functions
journal, August 2014


Strong interaction physics from hadronic atoms
journal, August 1997


The Chroma Software System for Lattice QCD
journal, March 2005


Hadron interactions in lattice QCD
journal, July 2011


Spectroscopy of Λ hypernuclei
journal, October 2006


Extended-soft-core baryon-baryon model. II. Hyperon-nucleon interaction
journal, April 2006


Jülich hyperon-nucleon model revisited
journal, October 2005


Nuclear correlation functions in lattice QCD
journal, June 2013


Generalized Lüscher formula in multichannel baryon-meson scattering
journal, January 2013


Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology
journal, August 2017


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


Energy dependence of the Λ/Σproduction cross-section ratio in p-p interactions
journal, November 2004


Improving the volume dependence of two-body binding energies calculated with lattice QCD
journal, December 2011


Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics
journal, August 2017


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


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


Volume Dependence of Bound States with Angular Momentum
journal, September 2011


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


Using the matrix pencil method to estimate the parameters of a sum of complex exponentials
journal, February 1995


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


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


Improved continuum limit lattice action for QCD with wilson fermions
journal, September 1985


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


Comparison of Λ and Σ 0 Production near Threshold in Proton-Proton Collisions
journal, July 1999


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


Hyperon–nucleon interactions—a chiral effective field theory approach
journal, November 2006


A new expansion for nucleon-nucleon interactions
journal, April 1998


On-shell improved lattice gauge theories
journal, March 1985


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


Unified contraction algorithm for multi-baryon correlators on the lattice
journal, January 2013


Recursive approach to determine correlation functions in multibaryon systems
journal, May 2013


Two particle states in an asymmetric box and the elastic scattering phases
journal, July 2004


Hyperon masses in nuclear matter
journal, January 1996


Effective Field Theory for Lattice Nuclei
journal, February 2015


Ground-state properties of 4 He and 16 O extrapolated from lattice QCD with pionless EFT
journal, September 2017


Quark mass dependence of nucleon-nucleon S -wave scattering lengths
journal, April 2012


elastic scattering cross sections in the region of with a scintillating fiber active target
journal, October 2005


Strangeness production in the reaction pp→K+Λp in the threshold region
journal, February 1998


Two nucleons on a lattice
journal, April 2004


High statistics analysis using anisotropic clover lattices: Single hadron correlation functions
journal, June 2009


Nucleon-nucleon potential in the 1/Nc expansion
journal, July 1997


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


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


Unitary Limit of Two-Nucleon Interactions in Strong Magnetic Fields
journal, March 2016


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


Ab initio Calculation of the n p d γ Radiative Capture Process
journal, September 2015


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


Generalized pencil-of-function method for extracting poles of an EM system from its transient response
journal, February 1989


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


Variation of fundamental couplings and nuclear forces
journal, January 2003


How to extract the Λ N scattering length from production reactions
journal, March 2004


Omega-Omega interaction from 2+1-flavor lattice quantum chromodynamics
journal, July 2015


Magnetic Moments of Light Nuclei from Lattice Quantum Chromodynamics
journal, December 2014


Quark mass variation constraints from Big Bang nucleosynthesis
journal, April 2011


Electromagnetic characteristics of A 3 physical and lattice nuclei
journal, August 2017


Works referencing / citing this record:

Hadrons and nuclei
journal, November 2019


FLAG Review 2019
text, January 2019


FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)
journal, February 2020


FLAG Review 2019
text, January 2020


FLAG Review 2019
text, January 2020