# Decuplet baryon structure from lattice QCD

## Abstract

The electromagnetic properties of the SU(3)-flavor baryon decuplet are examined within a lattice simulation of quenched QCD. Electric charge radii, magnetic moments, and magnetic radii are extracted from the {ital E}0 and {ital M}1 form factors. Preliminary results for the {ital E}2 and {ital M}3 moments are presented, giving the first model-independent insight to the shape of the quark distribution in the baryon ground state. As in our octet-baryon analysis, the lattice results give evidence of spin-dependent forces and mass effects in the electromagnetic properties. The quark charge distribution radii indicate these effects act in opposing directions. Some baryon dependence of the effective quark magnetic moments is seen. However, this dependence in decuplet baryons is more subtle than that for octet baryons. Of particular interest are the lattice predictions for the magnetic moments of {Omega}{sup {minus}} and {Delta}{sup ++} for which new recent experimental measurements are available. The lattice prediction of the {Delta}{sup ++}/{ital p} ratio appears larger than the experimental ratio, while the lattice prediction for the {Omega}{sup {minus}}/{ital p} magnetic moment ratio is in good agreement with the experimental ratio.

- Authors:

- (Department of Physics and Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742 (United States) TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 (Canada))
- (Department of Phyics and Astronomy, University of Kentucky, Lexington, Kentucky 40506 (United States))
- (TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 (Canada))

- Publication Date:

- OSTI Identifier:
- 7157973

- DOE Contract Number:
- FG05-87ER40322; FG05-84ER40154

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D (Particles Fields); (United States)

- Additional Journal Information:
- Journal Volume: 46:7; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; QUARK MODEL; QUANTUM CHROMODYNAMICS; CHARGE DISTRIBUTION; E0-TRANSITIONS; E2-TRANSITIONS; ELECTROMAGNETIC FORM FACTORS; FLAVOR MODEL; LATTICE FIELD THEORY; M1-TRANSITIONS; M3-TRANSITIONS; MAGNETIC MOMENTS; MATRIX ELEMENTS; SU GROUPS; SU-2 GROUPS; SUM RULES; COMPOSITE MODELS; ELEMENTARY PARTICLES; ENERGY-LEVEL TRANSITIONS; EQUATIONS; FERMIONS; FIELD THEORIES; FORM FACTORS; HADRONS; LIE GROUPS; MATHEMATICAL MODELS; MULTIPOLE TRANSITIONS; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; SYMMETRY GROUPS; 662230* - Quantum Chromodynamics- (1992-); 662120 - General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-); 662390 - Electromagnetic Processes & Properties- (1992-)

### Citation Formats

```
Leinweber, D.B., Draper, T., and Woloshyn, R.M..
```*Decuplet baryon structure from lattice QCD*. United States: N. p., 1992.
Web. doi:10.1103/PhysRevD.46.3067.

```
Leinweber, D.B., Draper, T., & Woloshyn, R.M..
```*Decuplet baryon structure from lattice QCD*. United States. doi:10.1103/PhysRevD.46.3067.

```
Leinweber, D.B., Draper, T., and Woloshyn, R.M.. Thu .
"Decuplet baryon structure from lattice QCD". United States. doi:10.1103/PhysRevD.46.3067.
```

```
@article{osti_7157973,
```

title = {Decuplet baryon structure from lattice QCD},

author = {Leinweber, D.B. and Draper, T. and Woloshyn, R.M.},

abstractNote = {The electromagnetic properties of the SU(3)-flavor baryon decuplet are examined within a lattice simulation of quenched QCD. Electric charge radii, magnetic moments, and magnetic radii are extracted from the {ital E}0 and {ital M}1 form factors. Preliminary results for the {ital E}2 and {ital M}3 moments are presented, giving the first model-independent insight to the shape of the quark distribution in the baryon ground state. As in our octet-baryon analysis, the lattice results give evidence of spin-dependent forces and mass effects in the electromagnetic properties. The quark charge distribution radii indicate these effects act in opposing directions. Some baryon dependence of the effective quark magnetic moments is seen. However, this dependence in decuplet baryons is more subtle than that for octet baryons. Of particular interest are the lattice predictions for the magnetic moments of {Omega}{sup {minus}} and {Delta}{sup ++} for which new recent experimental measurements are available. The lattice prediction of the {Delta}{sup ++}/{ital p} ratio appears larger than the experimental ratio, while the lattice prediction for the {Omega}{sup {minus}}/{ital p} magnetic moment ratio is in good agreement with the experimental ratio.},

doi = {10.1103/PhysRevD.46.3067},

journal = {Physical Review, D (Particles Fields); (United States)},

issn = {0556-2821},

number = ,

volume = 46:7,

place = {United States},

year = {1992},

month = {10}

}