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Title: High statistics analysis using anisotropic clover lattices: (III) Baryon-baryon interactions

Abstract

Low-energy baryon-baryon interactions are calculated in a high-statistics lattice QCD study on a single ensemble of anisotropic clover gauge-field configurations at a pion mass of m{sub {pi}} {approx} 390 MeV, a spatial volume of L{sup 3} {approx} (2.5 fm){sup 3}, and a spatial lattice spacing of b {approx} 0.123 fm. Luescher's method is used to extract nucleon-nucleon, hyperon-nucleon and hyperon-hyperon scattering phase shifts at one momentum from the one- and two-baryon ground-state energies in the lattice volume. The isospin-3/2 N{Sigma} interactions are found to be highly spin-dependent, and the interaction in the {sup 3}S{sub 1} channel is found to be strong. In contrast, the N{Lambda} interactions are found to be spin-independent, within the uncertainties of the calculation, consistent with the absence of one-pion-exchange. The only channel for which a negative energy-shift is found is {Lambda}{Lambda}, indicating that the {Lambda}{Lambda} interaction is attractive, as anticipated from model-dependent discussions regarding the H-dibaryon. The NN scattering lengths are found to be small, clearly indicating the absence of any fine-tuning in the NN-sector at this pion mass. This is consistent with our previous Lattice QCD calculation of NN interactions. The behavior of the signal-to-noise ratio in the baryon-baryon correlation functions, and in the ratiomore » of correlation functions that yields the ground-state energy splitting is explored. In particular, focus is placed on the window of time slices for which the signal-to-noise ratio does not degrade exponentially, as this provides the opportunity to extract quantitative information about multi-baryon systems.« less

Authors:
; ; ; ; ; ; ;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
990419
Report Number(s):
LLNL-JRNL-424175
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1007308
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 81; Journal Issue: 5; Journal ID: ISSN 1550-7998
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYON-BARYON INTERACTIONS; CLOVER; CORRELATION FUNCTIONS; PHASE SHIFT; PIONS; QUANTUM CHROMODYNAMICS; SCATTERING; SCATTERING LENGTHS; SIGNAL-TO-NOISE RATIO; STATISTICS; WINDOWS

Citation Formats

Beane, S, Detmold, W, Lin, H, Luu, T, Orginos, K, Savage, M, Torok, A, and Walker-Loud, A. High statistics analysis using anisotropic clover lattices: (III) Baryon-baryon interactions. United States: N. p., 2010. Web. doi:10.1103/PhysRevD.81.054505.
Beane, S, Detmold, W, Lin, H, Luu, T, Orginos, K, Savage, M, Torok, A, & Walker-Loud, A. High statistics analysis using anisotropic clover lattices: (III) Baryon-baryon interactions. United States. https://doi.org/10.1103/PhysRevD.81.054505
Beane, S, Detmold, W, Lin, H, Luu, T, Orginos, K, Savage, M, Torok, A, and Walker-Loud, A. Tue . "High statistics analysis using anisotropic clover lattices: (III) Baryon-baryon interactions". United States. https://doi.org/10.1103/PhysRevD.81.054505. https://www.osti.gov/servlets/purl/990419.
@article{osti_990419,
title = {High statistics analysis using anisotropic clover lattices: (III) Baryon-baryon interactions},
author = {Beane, S and Detmold, W and Lin, H and Luu, T and Orginos, K and Savage, M and Torok, A and Walker-Loud, A},
abstractNote = {Low-energy baryon-baryon interactions are calculated in a high-statistics lattice QCD study on a single ensemble of anisotropic clover gauge-field configurations at a pion mass of m{sub {pi}} {approx} 390 MeV, a spatial volume of L{sup 3} {approx} (2.5 fm){sup 3}, and a spatial lattice spacing of b {approx} 0.123 fm. Luescher's method is used to extract nucleon-nucleon, hyperon-nucleon and hyperon-hyperon scattering phase shifts at one momentum from the one- and two-baryon ground-state energies in the lattice volume. The isospin-3/2 N{Sigma} interactions are found to be highly spin-dependent, and the interaction in the {sup 3}S{sub 1} channel is found to be strong. In contrast, the N{Lambda} interactions are found to be spin-independent, within the uncertainties of the calculation, consistent with the absence of one-pion-exchange. The only channel for which a negative energy-shift is found is {Lambda}{Lambda}, indicating that the {Lambda}{Lambda} interaction is attractive, as anticipated from model-dependent discussions regarding the H-dibaryon. The NN scattering lengths are found to be small, clearly indicating the absence of any fine-tuning in the NN-sector at this pion mass. This is consistent with our previous Lattice QCD calculation of NN interactions. The behavior of the signal-to-noise ratio in the baryon-baryon correlation functions, and in the ratio of correlation functions that yields the ground-state energy splitting is explored. In particular, focus is placed on the window of time slices for which the signal-to-noise ratio does not degrade exponentially, as this provides the opportunity to extract quantitative information about multi-baryon systems.},
doi = {10.1103/PhysRevD.81.054505},
url = {https://www.osti.gov/biblio/990419}, journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 5,
volume = 81,
place = {United States},
year = {2010},
month = {1}
}

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