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Title: Strange and charm quark spins from the anomalous Ward identity

Abstract

In this article, we present a calculation of the strange and charm quark contributions to the nucleon spin from the anomalous Ward identity (AWI). This is performed with overlap valence quarks on 2 + 1 -flavor domain-wall fermion gauge configurations on a 2 4 3 × 64 lattice with lattice spacing a - 1 = 1.73 GeV and the light sea mass at m π = 330 MeV . To satisfy the AWI, the overlap fermion for the pseudoscalar density and the overlap Dirac operator for the topological density, which do not have multiplicative renormalization, are used to normalize the form factor of the local axial-vector current at finite q 2 . For the charm quark, we find that the negative pseudoscalar term almost cancels the positive topological term. For the strange quark, the pseudoscalar term is less negative than that of the charm. By imposing the AWI, the strange g A ( q 2 ) at q 2 = 0 is obtained by a global fit of the pseudoscalar and the topological form factors, together with g A ( q 2 ) and the induced pseudoscalar form factor h A ( q 2 ) at finite q 2 . The chiral extrapolation to the physical pion mass gives Δ s + Δ s ¯ = - 0.0403 ( 44 ) ( 78 ) .

Authors:
ORCiD logo [1]; ORCiD logo [2];  [2]; ORCiD logo [3];  [2]; ORCiD logo [2]
  1. Chinese Academy of Sciences (CAS), Beijing (China). Inst. of High Energy Physics
  2. University of Kentucky, Lexington, KY (United States)
  3. The George Washington University, Washington, DC (United States)
Publication Date:
Research Org.:
Univ. of Kentucky, Lexington, KY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation of China (NSFC); National Science Foundation (NSF)
Contributing Org.:
χQCD Collaboration
OSTI Identifier:
1599053
Alternate Identifier(s):
OSTI ID: 1365604
Report Number(s):
DOE-UKY-13065-1511.03671
Journal ID: ISSN 2470-0010; PRVDAQ; arXiv:1511.03671
Grant/Contract Number:  
SC0013065; FG02-95ER40907; AC05-00OR22725; 11405178; PHY-1151648; ACI-1053575
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 11; 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; Charm quark; Strange quark; Flavor symmetries

Citation Formats

Gong, Ming, Yang, Yi-Bo, Liang, Jian, Alexandru, Andrei, Draper, Terrence, and Liu, Keh-Fei. Strange and charm quark spins from the anomalous Ward identity. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.114509.
Gong, Ming, Yang, Yi-Bo, Liang, Jian, Alexandru, Andrei, Draper, Terrence, & Liu, Keh-Fei. Strange and charm quark spins from the anomalous Ward identity. United States. doi:10.1103/PhysRevD.95.114509.
Gong, Ming, Yang, Yi-Bo, Liang, Jian, Alexandru, Andrei, Draper, Terrence, and Liu, Keh-Fei. Thu . "Strange and charm quark spins from the anomalous Ward identity". United States. doi:10.1103/PhysRevD.95.114509. https://www.osti.gov/servlets/purl/1599053.
@article{osti_1599053,
title = {Strange and charm quark spins from the anomalous Ward identity},
author = {Gong, Ming and Yang, Yi-Bo and Liang, Jian and Alexandru, Andrei and Draper, Terrence and Liu, Keh-Fei},
abstractNote = {In this article, we present a calculation of the strange and charm quark contributions to the nucleon spin from the anomalous Ward identity (AWI). This is performed with overlap valence quarks on 2+1-flavor domain-wall fermion gauge configurations on a 243×64 lattice with lattice spacing a-1=1.73 GeV and the light sea mass at mπ=330 MeV. To satisfy the AWI, the overlap fermion for the pseudoscalar density and the overlap Dirac operator for the topological density, which do not have multiplicative renormalization, are used to normalize the form factor of the local axial-vector current at finite q2. For the charm quark, we find that the negative pseudoscalar term almost cancels the positive topological term. For the strange quark, the pseudoscalar term is less negative than that of the charm. By imposing the AWI, the strange gA(q2) at q2=0 is obtained by a global fit of the pseudoscalar and the topological form factors, together with gA(q2) and the induced pseudoscalar form factor hA(q2) at finite q2. The chiral extrapolation to the physical pion mass gives Δs+Δs¯=-0.0403(44)(78).},
doi = {10.1103/PhysRevD.95.114509},
journal = {Physical Review D},
number = 11,
volume = 95,
place = {United States},
year = {2017},
month = {6}
}

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