# Chiral quark-soliton model in the Wigner-Seitz approximation

## Abstract

In this paper we study the modification of the properties of the nucleon in the nucleus within the quark-soliton model. This is a covariant, dynamical model, which provides a nonlinear representation of the spontaneously broken SU(2){sub L}xSU(2){sub R} symmetry of QCD. The effects of the nuclear medium are accounted for by using the Wigner-Seitz approximation and therefore reducing the complex many-body problem to a simpler single-particle problem. We find a minimum in the binding energy at finite density, a change in the isoscalar nucleon radius, and a reduction of the in-medium pion decay constant. The latter is consistent with a partial restoration of chiral symmetry at finite density, which is predicted by other models. (c) 2000 The American Physical Society.

- Authors:

- College of William and Mary, Williamsburg, Virginia 23185 (United States)
- Istituto Nazionale di Fisica Nucleare, Sezione di Torino, via P. Giuria 1, I-10125 Torino, (Italy)

- Publication Date:

- OSTI Identifier:
- 20216352

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. C, Nuclear Physics

- Additional Journal Information:
- Journal Volume: 61; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 0556-2813

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEAR MATTER; NUCLEONS; QUARK MODEL; SOLITONS; CHIRAL SYMMETRY; SU-2 GROUPS; WIGNER-SEITZ METHOD; BINDING ENERGY; PIONS; QUANTUM CHROMODYNAMICS; THEORETICAL DATA

### Citation Formats

```
Amore, P., and De Pace, A.
```*Chiral quark-soliton model in the Wigner-Seitz approximation*. United States: N. p., 2000.
Web. doi:10.1103/PhysRevC.61.055201.

```
Amore, P., & De Pace, A.
```*Chiral quark-soliton model in the Wigner-Seitz approximation*. United States. doi:10.1103/PhysRevC.61.055201.

```
Amore, P., and De Pace, A. Mon .
"Chiral quark-soliton model in the Wigner-Seitz approximation". United States. doi:10.1103/PhysRevC.61.055201.
```

```
@article{osti_20216352,
```

title = {Chiral quark-soliton model in the Wigner-Seitz approximation},

author = {Amore, P. and De Pace, A.},

abstractNote = {In this paper we study the modification of the properties of the nucleon in the nucleus within the quark-soliton model. This is a covariant, dynamical model, which provides a nonlinear representation of the spontaneously broken SU(2){sub L}xSU(2){sub R} symmetry of QCD. The effects of the nuclear medium are accounted for by using the Wigner-Seitz approximation and therefore reducing the complex many-body problem to a simpler single-particle problem. We find a minimum in the binding energy at finite density, a change in the isoscalar nucleon radius, and a reduction of the in-medium pion decay constant. The latter is consistent with a partial restoration of chiral symmetry at finite density, which is predicted by other models. (c) 2000 The American Physical Society.},

doi = {10.1103/PhysRevC.61.055201},

journal = {Physical Review. C, Nuclear Physics},

issn = {0556-2813},

number = 5,

volume = 61,

place = {United States},

year = {2000},

month = {5}

}