# Baryons in holographic QCD

## Abstract

We study baryons in holographic QCD with D4/D8/D8 multi-D-brane system. In holographic QCD, the baryon appears as a topologically nontrivial chiral soliton in a four-dimensional effective theory of mesons. We call this topological soliton brane-induced Skyrmion. Some review of D4/D8/D8 holographic QCD is presented from the viewpoints of recent hadron physics and QCD phenomenologies. A four-dimensional effective theory with pions and {rho} mesons is uniquely derived from the non-Abelian Dirac-Born-Infeld (DBI) action of D8 brane with D4 supergravity background at the leading order of large N{sub c}, without small amplitude expansion of meson fields to discuss chiral solitons. For the hedgehog configuration of pion and {rho}-meson fields, we derive the energy functional and the Euler-Lagrange equation of brane-induced Skyrmion from the meson effective action induced by holographic QCD. Performing the numerical calculation, we obtain the soliton solution and figure out the pion profile F(r) and the {rho}-meson profile G-tilde(r) of the brane-induced Skyrmion with its total energy, energy density distribution, and root-mean-square radius. These results are compared with the experimental quantities of baryons and also with the profiles of standard Skyrmion without {rho} mesons. We analyze interaction terms of pions and {rho} mesons in brane-induced Skyrmion, and find a significantmore »

- Authors:

- Department of Physics, Kyoto University, Kyoto 606-8502 (Japan)

- Publication Date:

- OSTI Identifier:
- 21020436

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.086003; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; AMPLITUDES; BARYONS; BORN-INFELD THEORY; BRANES; CHIRALITY; DISTRIBUTION; ENERGY DENSITY; FOUR-DIMENSIONAL CALCULATIONS; HOLOGRAPHY; LAGRANGE EQUATIONS; MATHEMATICAL SOLUTIONS; PIONS; QUANTUM CHROMODYNAMICS; SOLITONS; SUPERGRAVITY; TOPOLOGY

### Citation Formats

```
Nawa, Kanabu, Suganuma, Hideo, and Kojo, Toru.
```*Baryons in holographic QCD*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.086003.

```
Nawa, Kanabu, Suganuma, Hideo, & Kojo, Toru.
```*Baryons in holographic QCD*. United States. doi:10.1103/PHYSREVD.75.086003.

```
Nawa, Kanabu, Suganuma, Hideo, and Kojo, Toru. Sun .
"Baryons in holographic QCD". United States.
doi:10.1103/PHYSREVD.75.086003.
```

```
@article{osti_21020436,
```

title = {Baryons in holographic QCD},

author = {Nawa, Kanabu and Suganuma, Hideo and Kojo, Toru},

abstractNote = {We study baryons in holographic QCD with D4/D8/D8 multi-D-brane system. In holographic QCD, the baryon appears as a topologically nontrivial chiral soliton in a four-dimensional effective theory of mesons. We call this topological soliton brane-induced Skyrmion. Some review of D4/D8/D8 holographic QCD is presented from the viewpoints of recent hadron physics and QCD phenomenologies. A four-dimensional effective theory with pions and {rho} mesons is uniquely derived from the non-Abelian Dirac-Born-Infeld (DBI) action of D8 brane with D4 supergravity background at the leading order of large N{sub c}, without small amplitude expansion of meson fields to discuss chiral solitons. For the hedgehog configuration of pion and {rho}-meson fields, we derive the energy functional and the Euler-Lagrange equation of brane-induced Skyrmion from the meson effective action induced by holographic QCD. Performing the numerical calculation, we obtain the soliton solution and figure out the pion profile F(r) and the {rho}-meson profile G-tilde(r) of the brane-induced Skyrmion with its total energy, energy density distribution, and root-mean-square radius. These results are compared with the experimental quantities of baryons and also with the profiles of standard Skyrmion without {rho} mesons. We analyze interaction terms of pions and {rho} mesons in brane-induced Skyrmion, and find a significant {rho}-meson component appearing in the core region of a baryon.},

doi = {10.1103/PHYSREVD.75.086003},

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

number = 8,

volume = 75,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}