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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 agreement with the previous conclusions of the NPLQCD collaboration regarding the existence of two-nucleon bound states at this value of the quark masses.

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.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
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
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. doi: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. Thu . "Baryon-baryon interactions and spin-flavor symmetry from lattice quantum chromodynamics". United States. doi:10.1103/PhysRevD.96.114510.
@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},
journal = {Physical Review D},
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}
}

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