TY - JOUR
T1 - Proton momentum and angular momentum decompositions with overlap fermions
AU - Wang, Gen
AU - Yang, Yi Bo
AU - Liang, Jian
AU - Draper, Terrence
AU - Liu, Keh Fei
N1 - Publisher Copyright:
© 2022 authors. Published by the American Physical Society.
PY - 2022/7/1
Y1 - 2022/7/1
N2 - We present a calculation of the proton momentum and angular momentum decompositions using overlap fermions on a 2+1-flavor RBC/UKQCD domain-wall lattice at 0.143 fm with a pion mass of 171 MeV which is close to the physical one. A complete determination of the momentum and angular momentum fractions carried by up, down, strange, and glue inside the proton has been done with valence pion masses varying from 171 to 391 MeV. We have utilized fast Fourier transform on the stochastic-sandwich method for connected-insertion parts and the cluster-decomposition error reduction technique technique for disconnected-insertion parts has been used to reduce statistical errors. The full nonperturbative renormalization and mixing between the quark and glue operators are carried out. The final results are normalized with the momentum and angular momentum sum rules and reported at the physical valence pion mass at MS¯(μ=2 GeV). The renormalized momentum fractions for the quarks and glue are xq=0.491(20)(23) and xg=0.509(20)(23), respectively, and the renormalized total angular momentum fractions for quarks and glue are 2Jq=0.539(22)(44) and 2Jg=0.461(22)(44), respectively. The quark spin fraction is ς=0.405(25)(37) from our previous work and the quark orbital angular momentum fraction is deduced from 2Lq=2Jq-ς to be 0.134(22)(44).
AB - We present a calculation of the proton momentum and angular momentum decompositions using overlap fermions on a 2+1-flavor RBC/UKQCD domain-wall lattice at 0.143 fm with a pion mass of 171 MeV which is close to the physical one. A complete determination of the momentum and angular momentum fractions carried by up, down, strange, and glue inside the proton has been done with valence pion masses varying from 171 to 391 MeV. We have utilized fast Fourier transform on the stochastic-sandwich method for connected-insertion parts and the cluster-decomposition error reduction technique technique for disconnected-insertion parts has been used to reduce statistical errors. The full nonperturbative renormalization and mixing between the quark and glue operators are carried out. The final results are normalized with the momentum and angular momentum sum rules and reported at the physical valence pion mass at MS¯(μ=2 GeV). The renormalized momentum fractions for the quarks and glue are xq=0.491(20)(23) and xg=0.509(20)(23), respectively, and the renormalized total angular momentum fractions for quarks and glue are 2Jq=0.539(22)(44) and 2Jg=0.461(22)(44), respectively. The quark spin fraction is ς=0.405(25)(37) from our previous work and the quark orbital angular momentum fraction is deduced from 2Lq=2Jq-ς to be 0.134(22)(44).
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U2 - 10.1103/PhysRevD.106.014512
DO - 10.1103/PhysRevD.106.014512
M3 - Article
AN - SCOPUS:85135888176
SN - 2470-0010
VL - 106
JO - Physical Review D
JF - Physical Review D
IS - 1
M1 - 014512
ER -