# 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 220 gauge configurations each. The lattice cutoff is a{sup -1} {approx} 1.7GeV and the spatial volume is about (1.9fm){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 a{sup -1} {approx} 1.6GeV and the spatial volume is about (3.0fm){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 verymore »

- Authors:

- Publication Date:

- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)

- Sponsoring Org.:
- DOE/SC, RIKEN AND BNL

- OSTI Identifier:
- 894611

- Report Number(s):
- BNL-77092-2006-CP

R&D Project: PO-3; KB-02-01; TRN: US0700195

- DOE Contract Number:
- DE-AC02-98CH10886

- Resource Type:
- Conference

- Resource Relation:
- Conference: XXIVTH INTERNATIONAL SYMPOSIUM ON LATTICE FIELD THEORY; PROC. OF SCIENCE; TUCSON, ARIZONA; 20060723 through 20060728

- 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 H.-W., and OHTA, S..
```*NUCLEON STRUCTURE IN LATTICE QCD WITH DYNAMICAL DOMAIN--WALL FERMIONS QUARKS.*. United States: N. p., 2006.
Web.

```
LIN H.-W., & OHTA, S..
```*NUCLEON STRUCTURE IN LATTICE QCD WITH DYNAMICAL DOMAIN--WALL FERMIONS QUARKS.*. United States.

```
LIN H.-W., and OHTA, S.. Mon .
"NUCLEON STRUCTURE IN LATTICE QCD WITH DYNAMICAL DOMAIN--WALL FERMIONS QUARKS.". United States. https://www.osti.gov/servlets/purl/894611.
```

```
@article{osti_894611,
```

title = {NUCLEON STRUCTURE IN LATTICE QCD WITH DYNAMICAL DOMAIN--WALL FERMIONS QUARKS.},

author = {LIN H.-W. and OHTA, S.},

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 220 gauge configurations each. The lattice cutoff is a{sup -1} {approx} 1.7GeV and the spatial volume is about (1.9fm){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 a{sup -1} {approx} 1.6GeV and the spatial volume is about (3.0fm){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 = {Mon Oct 02 00:00:00 EDT 2006},

month = {Mon Oct 02 00:00:00 EDT 2006}

}