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Title: Lattice calculation of nucleon isovector axial charge with improved currents

Abstract

We employ dimension-4 operators to improve the local vector and axial-vector currents and calculate the nucleon isovector axial coupling $$g$$ $${^3}_{A}$$ with overlap valence on 2 + 1-flavor domain wall fermion (DWF) sea. Using the equality of $$g$$ $${^3}_{A}$$ from the spatial and temporal components of the axial-vector current as a normalization condition, we find that $$g$$ $${^3}_{A}$$ is increased by a few percent towards the experimental value. Here, the excited-state contamination has been taken into account with three time separations between the source and sink. The improved axial charges $$g$$ $${^3}_{A}$$ (24I) = 1.22 (4) (3) and $$g$$ $${^3}_{A}$$ (32I) = 1.21 (3)(3) are obtained on a 243 × 64 lattice at pion mass of 330 MeV and a 323 × 64 lattice at pion mass 300 MeV and are increased by 3.4% and 1.7% from their unimproved values, respectively. We have also used clover fermions on the same DWF configurations and find the same behavior for the local axial charge as that with overlap fermions.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2];  [1]; ORCiD logo [1]
  1. Univ. of Kentucky, Lexington, KY (United States)
  2. The George Washington Univ., Washingon, DC (United States)
Publication Date:
Research Org.:
Univ. of Kentucky, Lexington, KY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Org.:
χQCD Collaboration
OSTI Identifier:
1595974
Alternate Identifier(s):
OSTI ID: 1376953
Grant/Contract Number:  
SC0013065; AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD

Citation Formats

Liang, Jian, Yang, Yi-Bo, Liu, Keh-Fei, Alexandru, Andrei, Draper, Terrence, and Sufian, Raza Sabbir. Lattice calculation of nucleon isovector axial charge with improved currents. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.034519.
Liang, Jian, Yang, Yi-Bo, Liu, Keh-Fei, Alexandru, Andrei, Draper, Terrence, & Sufian, Raza Sabbir. Lattice calculation of nucleon isovector axial charge with improved currents. United States. https://doi.org/10.1103/PhysRevD.96.034519
Liang, Jian, Yang, Yi-Bo, Liu, Keh-Fei, Alexandru, Andrei, Draper, Terrence, and Sufian, Raza Sabbir. Thu . "Lattice calculation of nucleon isovector axial charge with improved currents". United States. https://doi.org/10.1103/PhysRevD.96.034519. https://www.osti.gov/servlets/purl/1595974.
@article{osti_1595974,
title = {Lattice calculation of nucleon isovector axial charge with improved currents},
author = {Liang, Jian and Yang, Yi-Bo and Liu, Keh-Fei and Alexandru, Andrei and Draper, Terrence and Sufian, Raza Sabbir},
abstractNote = {We employ dimension-4 operators to improve the local vector and axial-vector currents and calculate the nucleon isovector axial coupling $g$ ${^3}_{A}$ with overlap valence on 2 + 1-flavor domain wall fermion (DWF) sea. Using the equality of $g$ ${^3}_{A}$ from the spatial and temporal components of the axial-vector current as a normalization condition, we find that $g$ ${^3}_{A}$ is increased by a few percent towards the experimental value. Here, the excited-state contamination has been taken into account with three time separations between the source and sink. The improved axial charges $g$ ${^3}_{A}$ (24I) = 1.22 (4) (3) and $g$ ${^3}_{A}$ (32I) = 1.21 (3)(3) are obtained on a 243 × 64 lattice at pion mass of 330 MeV and a 323 × 64 lattice at pion mass 300 MeV and are increased by 3.4% and 1.7% from their unimproved values, respectively. We have also used clover fermions on the same DWF configurations and find the same behavior for the local axial charge as that with overlap fermions.},
doi = {10.1103/PhysRevD.96.034519},
journal = {Physical Review D},
number = 3,
volume = 96,
place = {United States},
year = {Thu Aug 24 00:00:00 EDT 2017},
month = {Thu Aug 24 00:00:00 EDT 2017}
}

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