Lattice study of quark and glue momenta and angular momenta in the nucleon

Deka, M. and Doi, T. and Yang, Y. B. and Chakraborty, B. and Dong, S. J. and Draper, T. and Glatzmaier, M. and Gong, M. and Lin, H. W. and Liu, K. F. and Mankame, D. and Mathur, N. and Streuer, T. (2015) Lattice study of quark and glue momenta and angular momenta in the nucleon. PHYSICAL REVIEW D, 91 (1): 014505. ISSN 2470-0010, 2470-0029

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Abstract

We report a complete calculation of the quark and glue momenta and angular momenta in the proton. These include the quark contributions from both the connected and disconnected insertions. The quark disconnected insertion loops are computed with Z(4) noise, and the signal-to-noise ratio is improved with unbiased subtractions. The glue operator is comprised of gauge-field tensors constructed from the overlap operator. The calculation is carried out on a 163 x 24 quenched lattice at beta = 6.0 for Wilson fermions with kappa = 0.154, 0.155, and 0.1555, which correspond to pion masses at 650, 538, and 478 MeV, respectively. The chirally extrapolated u and d quark momentum/angular momentum fraction is found to be 0.64(5)=0.70(5), the strange momentum/angular momentum fraction is 0.024(6)/0.023(7), and that of the glue is 0.33(6)/0.28(8). The previous study of quark spin on the same lattice revealed that it carries a fraction of 0.25(12) of proton spin. The orbital angular momenta of the quarks are then obtained from subtracting the spin from their corresponding angular momentum components. We find that the quark orbital angular momentum constitutes 0.47(13) of the proton spin with almost all of it coming from the disconnected insertions.

Item Type: Article
Uncontrolled Keywords: OVERLAP DIRAC OPERATOR; DEEP-INELASTIC SCATTERING; GAUGE-THEORY; PARTON DISTRIBUTIONS; COMPOSITE-OPERATORS; TOPOLOGICAL CHARGE; FORM-FACTOR; QCD; SPIN; PROTON;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 25 Jul 2019 12:33
Last Modified: 25 Jul 2019 12:33
URI: https://pred.uni-regensburg.de/id/eprint/6095

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