# Nucleon structure in lattice QCD with dynamical domain-wall fermions quarks

## Abstract

We report RBC and RBC/UKQCD lattice QCD numerical calculations of nucleon electroweak matrix elements with dynamical domain-wall fermions (DWF) quarks. The first, RBC, set of dynamical DWF ensembles employs two degenerate flavors of DWF quarks and the DBW2 gauge action. Three sea quark mass values of 0.04, 0.03 and 0.02 in lattice units are used with about 200 gauge configurations each. The lattice cutoff is about 1.7 GeV and the spatial volume is about (1.9 fm){sup 3}. Despite the small volume, the ratio of the isovector vector and axial charges g{sub A}/g{sub V} and that of structure function moments <x>{sub u-d}/<x>{sub {Delta} u - {Delta} d} are in agreement with experiment, and show only very mild quark mass dependence. The second, RBC/UK, set of ensembles employs one strange and two degenerate (up and down) dynamical DWF quarks and Iwasaki gauge action. The strange quark mass is set at 0.04, and three up/down mass values of 0.03, 0.02 and 0.01 in lattice units are used. The lattice cutoff is about 1.6 GeV and the spatial volume is about (3.0 fm){sup 3}. Even with preliminary statistics of 25-30 gauge configurations, the ratios g{sub A}/g{sub V} and <x>{sub u-d}/<x>{sub {Delta} u - {Delta}more »

- Authors:

- Publication Date:

- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY; Thomas Jefferson National Accelerator Facility, Newport News, VA

- Sponsoring Org.:
- USDOE - Office of Energy Research (ER)

- OSTI Identifier:
- 894646

- Report Number(s):
- JLAB-THY-06-554; DOE/ER/40150-4106; hep-lat/0610028; KEK-TH-1107; RBRC-614

TRN: US0700207

- DOE Contract Number:
- FG02-92ER40699; AC05-06OR23177

- Resource Type:
- Conference

- Resource Relation:
- Conference: XXIVth International Symposium on Lattice Field Theory (Lattice 2006), 23-28 Jul 2006, Tucson, Arizona

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FERMIONS; ISOVECTORS; LATTICE FIELD THEORY; MATRIX ELEMENTS; NUCLEONS; QUANTUM CHROMODYNAMICS; QUARKS; SEAS; STATISTICS; STRUCTURE FUNCTIONS; VECTORS

### Citation Formats

```
Lin, Huey-Wen, and Ohta, Shigemi.
```*Nucleon structure in lattice QCD with dynamical domain-wall fermions quarks*. United States: N. p., 2006.
Web.

```
Lin, Huey-Wen, & Ohta, Shigemi.
```*Nucleon structure in lattice QCD with dynamical domain-wall fermions quarks*. United States.

```
Lin, Huey-Wen, and Ohta, Shigemi. Sun .
"Nucleon structure in lattice QCD with dynamical domain-wall fermions quarks". United States. https://www.osti.gov/servlets/purl/894646.
```

```
@article{osti_894646,
```

title = {Nucleon structure in lattice QCD with dynamical domain-wall fermions quarks},

author = {Lin, Huey-Wen and Ohta, Shigemi},

abstractNote = {We report RBC and RBC/UKQCD lattice QCD numerical calculations of nucleon electroweak matrix elements with dynamical domain-wall fermions (DWF) quarks. The first, RBC, set of dynamical DWF ensembles employs two degenerate flavors of DWF quarks and the DBW2 gauge action. Three sea quark mass values of 0.04, 0.03 and 0.02 in lattice units are used with about 200 gauge configurations each. The lattice cutoff is about 1.7 GeV and the spatial volume is about (1.9 fm){sup 3}. Despite the small volume, the ratio of the isovector vector and axial charges g{sub A}/g{sub V} and that of structure function moments <x>{sub u-d}/<x>{sub {Delta} u - {Delta} d} are in agreement with experiment, and show only very mild quark mass dependence. The second, RBC/UK, set of ensembles employs one strange and two degenerate (up and down) dynamical DWF quarks and Iwasaki gauge action. The strange quark mass is set at 0.04, and three up/down mass values of 0.03, 0.02 and 0.01 in lattice units are used. The lattice cutoff is about 1.6 GeV and the spatial volume is about (3.0 fm){sup 3}. Even with preliminary statistics of 25-30 gauge configurations, the ratios g{sub A}/g{sub V} and <x>{sub u-d}/<x>{sub {Delta} u - {Delta} d} are consistent with experiment and show only very mild quark mass dependence. Another structure function moment, d{sub 1}, though yet to be renormalized, appears small in both sets.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2006},

month = {7}

}