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

Journal Article · · Physical Review D
 [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)
+ Show Author Affiliations

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.

Research Organization:
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 Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Organization:
NPLQCD Collaboration
Grant/Contract Number:
NSF PHY11-25915; AC02-05CH11231; AC05-00OR22725; SC0010495; SC0011090; FG02-04ER41302; AC05-06OR23177; FG02-00ER41132; SC0010337
OSTI ID:
1418439
Alternate ID(s):
OSTI ID: 1416436
Report Number(s):
JLAB-CIO-17-2632; DOE/OR/23177-4321; arXiv:1706.06550; PRVDAQ; TRN: US1801272
Journal Information:
Physical Review D, Vol. 96, Issue 11; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 50 works
Citation information provided by
Web of Science

References (100)

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
A Stable H-Dibaryon: Dark Matter, Candidate Within QCD? journal January 2003
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
  • 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
conference January 2011
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
Two-particle states on a torus and their relation to the scattering matrix journal May 1991
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
On the Consequences of the Symmetry of the Nuclear Hamiltonian on the Spectroscopy of Nuclei journal January 1937
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
Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula journal August 2017
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
Scattering phase shifts for two particles of different mass and nonzero total momentum in lattice QCD journal June 2012
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
Theoretical Foundation of the Nuclear Force in QCD and Its Applications to Central and Tensor Forces in Quenched Lattice QCD Simulations journal January 2010
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

Cited By (7)

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
Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers text January 2018
Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states text January 2019

Figures / Tables (35)

TABLE I:(p. 10)table TABLE I:
FIG. 1:(p. 12)figure FIG. 1:
FIG. 2:(p. 13)figure FIG. 2:
FIG. 3:(p. 14)figure FIG. 3:
FIG. 4:(p. 15)figure FIG. 4:
FIG. 5:(p. 16)figure FIG. 5:
FIG. 6:(p. 17)figure FIG. 6:
FIG. 7:(p. 18)figure FIG. 7:
FIG. 8:(p. 20)figure FIG. 8:
FIG. 9:(p. 21)figure FIG. 9:
FIG. 10:(p. 22)figure FIG. 10:
FIG. 11:(p. 23)figure FIG. 11:
FIG. 12:(p. 23)figure FIG. 12:
FIG. 13:(p. 24)figure FIG. 13:
TABLE II:(p. 24)table TABLE II:
TABLE III:(p. 25)table TABLE III:
TABLE IV:(p. 26)table TABLE IV:
FIG. 14:(p. 28)figure FIG. 14:
TABLE V:(p. 28)table TABLE V:
FIG. 15:(p. 29)figure FIG. 15:
FIG. 16:(p. 30)figure FIG. 16:
TABLE VI:(p. 30)table TABLE VI:
FIG. 17:(p. 36)figure FIG. 17:
FIG. 18:(p. 37)figure FIG. 18:
TABLE VII:(p. 39)table TABLE VII:
TABLE VIII:(p. 40)table TABLE VIII:
TABLE IX:(p. 41)table TABLE IX:
TABLE X:(p. 41)table TABLE X:
TABLE XI:(p. 42)table TABLE XI:
TABLE XII:(p. 43)table TABLE XII:
TABLE XIII:(p. 44)table TABLE XIII:
TABLE XIV:(p. 45)table TABLE XIV:
FIG. 19:(p. 46)figure FIG. 19:
FIG. 20:(p. 48)figure FIG. 20:
FIG. 21:(p. 49)figure FIG. 21:

Similar Records

Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi}\sim$ 450 MeV from Lattice Quantum Chromodynamics
Journal Article · Fri Mar 19 00:00:00 EDT 2021 · Physical Review. D. · OSTI ID:1418439
+9 more
Extended-soft-core baryon-baryon model. II. Hyperon-nucleon interaction
Journal Article · Sat Apr 15 00:00:00 EDT 2006 · Physical Review. C, Nuclear Physics · OSTI ID:1418439
Baryon Effective Theories and Phenomenology in the 1/NC Expansion
Thesis/Dissertation · Fri Dec 08 00:00:00 EST 2017 · OSTI ID:1418439

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS