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 »
- Authors:
-
- Univ. of Washington, Seattle, WA (United States)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- 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}
}
Web of Science
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