# Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory

## Abstract

We study finite-volume effects on the masses of the ground-state octet baryons using covariant baryon chiral perturbation theory (ChPT) up to next-to-leading order by analyzing the latest n{sub f}=2+1 lattice quantum chromodynamics (LQCD) results from the NPLQCD Collaboration. Contributions of virtual decuplet baryons are taken into account using the consistent coupling scheme. We compare our results with those obtained from heavy baryon ChPT and show that, although both approaches can describe well the lattice data, the underlying physics is different: In heavy baryon ChPT, virtual decuplet baryons play a more important role than they do in covariant ChPT. This is because the virtual octet-baryon contributions to finite-volume corrections are larger in covariant ChPT than in heavy baryon ChPT, while the contributions of intermediate decuplet baryons are smaller, because of relativistic effects. We observe that for the octet-baryon masses, at fixed m{sub {pi}}L (>>1) finite-volume corrections decrease as m{sub {pi}} approaches its physical value, provided that the strange quark mass is at or close to its physical value, as in most lattice quantum chromodynamics setups.

- Authors:

- School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191 (China)
- (Germany)
- Department of Physics and Astronomy, University of Sussex, BN1 9Qh, Brighton (United Kingdom)
- Physik Department, Technische Universitaet Muenchen, D-85747 Garching (Germany)

- Publication Date:

- OSTI Identifier:
- 21607782

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles Fields

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.84.074024; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; CHIRALITY; COMPARATIVE EVALUATIONS; CORRECTIONS; COUPLING; GROUND STATES; MASS; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; RELATIVISTIC RANGE; S QUARKS; ELEMENTARY PARTICLES; ENERGY LEVELS; ENERGY RANGE; EVALUATION; FERMIONS; FIELD THEORIES; HADRONS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; QUARKS; STRANGE PARTICLES

### Citation Formats

```
Geng Lisheng, Physik Department, Technische Universitaet Muenchen, D-85747 Garching, Ren Xiulei, Martin-Camalich, J., and Weise, W.
```*Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.84.074024.

```
Geng Lisheng, Physik Department, Technische Universitaet Muenchen, D-85747 Garching, Ren Xiulei, Martin-Camalich, J., & Weise, W.
```*Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory*. United States. doi:10.1103/PHYSREVD.84.074024.

```
Geng Lisheng, Physik Department, Technische Universitaet Muenchen, D-85747 Garching, Ren Xiulei, Martin-Camalich, J., and Weise, W. Sat .
"Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory". United States. doi:10.1103/PHYSREVD.84.074024.
```

```
@article{osti_21607782,
```

title = {Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory},

author = {Geng Lisheng and Physik Department, Technische Universitaet Muenchen, D-85747 Garching and Ren Xiulei and Martin-Camalich, J. and Weise, W.},

abstractNote = {We study finite-volume effects on the masses of the ground-state octet baryons using covariant baryon chiral perturbation theory (ChPT) up to next-to-leading order by analyzing the latest n{sub f}=2+1 lattice quantum chromodynamics (LQCD) results from the NPLQCD Collaboration. Contributions of virtual decuplet baryons are taken into account using the consistent coupling scheme. We compare our results with those obtained from heavy baryon ChPT and show that, although both approaches can describe well the lattice data, the underlying physics is different: In heavy baryon ChPT, virtual decuplet baryons play a more important role than they do in covariant ChPT. This is because the virtual octet-baryon contributions to finite-volume corrections are larger in covariant ChPT than in heavy baryon ChPT, while the contributions of intermediate decuplet baryons are smaller, because of relativistic effects. We observe that for the octet-baryon masses, at fixed m{sub {pi}}L (>>1) finite-volume corrections decrease as m{sub {pi}} approaches its physical value, provided that the strange quark mass is at or close to its physical value, as in most lattice quantum chromodynamics setups.},

doi = {10.1103/PHYSREVD.84.074024},

journal = {Physical Review. D, Particles Fields},

issn = {0556-2821},

number = 7,

volume = 84,

place = {United States},

year = {2011},

month = {10}

}