# Dynamical evolution of the scalar condensate in heavy ioncollisions

## Abstract

We derive the effective coarse-grained field equation forthe scalar condensate of the linear sigma model in a simple andstraightforward manner using linear response theory. The dissipativecoefficient is calculated at tree level on the basis of the physicalprocesses of sigma-meson decay and of thermal sigma-mesons and pionsknocking sigma-mesons out of the condensate. The field equation is solvedfor hot matter undergoing either one or three dimensional expansion andcooling in the aftermath of a high energy nuclear collision. The resultsshow that the time constant for returning the scalar condensate tothermal equilibrium is of order 2 fm/c. Comment: 19 pages, 3 figures areembedded at the end. The effect of the time dependence of the condensatev is included in this revised version. Numerical work is redoneaccordingly

- Authors:

- Publication Date:

- Research Org.:
- COLLABORATION - U. ofNorway

- OSTI Identifier:
- 907894

- Report Number(s):
- LBNL-45191

TRN: US0703342

- DOE Contract Number:
- DE-AC02-05CH11231

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review C

- Additional Journal Information:
- Journal Volume: 61; Related Information: Journal Publication Date: 2000

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 74 ATOMIC AND MOLECULAR PHYSICS; CONDENSATES; DECAY; FIELD EQUATIONS; HEAVY IONS; PIONS; SCALARS; SIGMA MODEL; THERMAL EQUILIBRIUM; TIME DEPENDENCE

### Citation Formats

```
Csernai, Laszlo P., Ellis, Paul J., Jeon, Sangyong, and Kapusta,Joseph I.
```*Dynamical evolution of the scalar condensate in heavy ioncollisions*. United States: N. p., 1999.
Web.

```
Csernai, Laszlo P., Ellis, Paul J., Jeon, Sangyong, & Kapusta,Joseph I.
```*Dynamical evolution of the scalar condensate in heavy ioncollisions*. United States.

```
Csernai, Laszlo P., Ellis, Paul J., Jeon, Sangyong, and Kapusta,Joseph I. Tue .
"Dynamical evolution of the scalar condensate in heavy ioncollisions". United States.
```

```
@article{osti_907894,
```

title = {Dynamical evolution of the scalar condensate in heavy ioncollisions},

author = {Csernai, Laszlo P. and Ellis, Paul J. and Jeon, Sangyong and Kapusta,Joseph I.},

abstractNote = {We derive the effective coarse-grained field equation forthe scalar condensate of the linear sigma model in a simple andstraightforward manner using linear response theory. The dissipativecoefficient is calculated at tree level on the basis of the physicalprocesses of sigma-meson decay and of thermal sigma-mesons and pionsknocking sigma-mesons out of the condensate. The field equation is solvedfor hot matter undergoing either one or three dimensional expansion andcooling in the aftermath of a high energy nuclear collision. The resultsshow that the time constant for returning the scalar condensate tothermal equilibrium is of order 2 fm/c. Comment: 19 pages, 3 figures areembedded at the end. The effect of the time dependence of the condensatev is included in this revised version. Numerical work is redoneaccordingly},

doi = {},

journal = {Physical Review C},

number = ,

volume = 61,

place = {United States},

year = {1999},

month = {8}

}