Proton momentum and angular momentum decompositions with overlap fermions
Abstract
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 < x >q = 0.491 (20)(23) and < x >g = 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. Furthermore, the quark spin fraction is Σ = 0.405 (25)(37) frommore »
- Publication Date:
- Research Org.:
- Univ. of Kentucky, Lexington, KY (United States)
- Sponsoring Org.:
- USDOE; National Natural Science Foundation of China (NSFC); Deutsche Forschungsgemeinschaft (DFG, German Research Foundation); Science and Technology Program of Guangzhou; National Science Foundation (NSF)
- Contributing Org.:
- χQCD Collaboration
- OSTI Identifier:
- 1878242
- Alternate Identifier(s):
- OSTI ID: 1880829
- Report Number(s):
- DOE-UKY-13065-2111.09329
Journal ID: ISSN 2470-0010; PRVDAQ; 014512
- Grant/Contract Number:
- SC0013065; AC05-06OR23177; AC05-00OR22725
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 106 Journal Issue: 1; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; pi: mass; fermion: overlap; p: momentum; quark: spin; sum rule: angular momentum; renormalization: nonperturbative; domain wall: lattice; error: statistical; valence; mixing; GeV
Citation Formats
Wang, Gen, Yang, Yi-Bo, Liang, Jian, Draper, Terrence, Liu, Keh-Fei, and χQCD Collaboration. Proton momentum and angular momentum decompositions with overlap fermions. United States: N. p., 2022.
Web. doi:10.1103/PhysRevD.106.014512.
Wang, Gen, Yang, Yi-Bo, Liang, Jian, Draper, Terrence, Liu, Keh-Fei, & χQCD Collaboration. Proton momentum and angular momentum decompositions with overlap fermions. United States. https://doi.org/10.1103/PhysRevD.106.014512
Wang, Gen, Yang, Yi-Bo, Liang, Jian, Draper, Terrence, Liu, Keh-Fei, and χQCD Collaboration. Wed .
"Proton momentum and angular momentum decompositions with overlap fermions". United States. https://doi.org/10.1103/PhysRevD.106.014512.
@article{osti_1878242,
title = {Proton momentum and angular momentum decompositions with overlap fermions},
author = {Wang, Gen and Yang, Yi-Bo and Liang, Jian and Draper, Terrence and Liu, Keh-Fei and χQCD Collaboration},
abstractNote = {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 < x >q = 0.491 (20)(23) and < x >g = 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. Furthermore, 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).},
doi = {10.1103/PhysRevD.106.014512},
journal = {Physical Review D},
number = 1,
volume = 106,
place = {United States},
year = {Wed Jul 27 00:00:00 EDT 2022},
month = {Wed Jul 27 00:00:00 EDT 2022}
}
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