dorsal/arxiv
View Schema$\rho$-meson properties at finite nuclear density
| Authors | L. A. Kondratyuk, A. Sibirtsev, W. Cassing, Ye. S. Golubeva, M. Effenberger |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9801055 |
| URL | https://arxiv.org/abs/nucl-th/9801055 |
| DOI | 10.1103/PhysRevC.58.1078 |
| Journal | Phys.Rev.C58:1078-1085,1998 |
Abstract
We calculate the momentum dependence of the $\rho$-meson selfenergy based on the dispersion relation for the $\rho N$ scattering amplitude $f(\omega$) at low nuclear density. The imaginary part of $f(\omega)$ is determined from the optical theorem, while the total $\rho N$ cross section is obtained within the VDM at high energy and within the resonance model at low energy. Our numerical results indicate a sizeable broadening of the $\rho$-meson width in the medium especially for low relative momenta $p$ while the real part of the $\rho$ selfenergy is found to change its sign and becomes repulsive already at momenta above 100 MeV/c. Extrapolating to nuclear saturation density $\rho_0$ we find a dropping of the $\rho$-mass for $p \approx$ 0 in line with the QCD sumrule analysis of Hatsuda while at high energy an increase of the $\rho$-mass in line with the prediction by Eletsky and Joffe is obtained. However, when including a broadening of the baryonic resonances in the medium, the $\rho$-meson mass shift at $p \approx$ 0 becomes slightly repulsive whereas the width increases substantially.
{
"annotation_id": "90ccbb18-0f0f-4473-93bf-060bc590a0e5",
"date_created": "2026-03-02T18:00:22.217000Z",
"date_modified": "2026-03-02T18:00:22.217000Z",
"file_hash": "4d56ea25198b262b0194bc60d3f65cf8a0931ae8ada5e1c5cdd538ff0f1cf80b",
"private": false,
"record": {
"abstract": "We calculate the momentum dependence of the $\\rho$-meson selfenergy based on\nthe dispersion relation for the $\\rho N$ scattering amplitude $f(\\omega$) at\nlow nuclear density. The imaginary part of $f(\\omega)$ is determined from the\noptical theorem, while the total $\\rho N$ cross section is obtained within the\nVDM at high energy and within the resonance model at low energy. Our numerical\nresults indicate a sizeable broadening of the $\\rho$-meson width in the medium\nespecially for low relative momenta $p$ while the real part of the $\\rho$\nselfenergy is found to change its sign and becomes repulsive already at momenta\nabove 100 MeV/c. Extrapolating to nuclear saturation density $\\rho_0$ we find a\ndropping of the $\\rho$-mass for $p \\approx$ 0 in line with the QCD sumrule\nanalysis of Hatsuda while at high energy an increase of the $\\rho$-mass in line\nwith the prediction by Eletsky and Joffe is obtained. However, when including a\nbroadening of the baryonic resonances in the medium, the $\\rho$-meson mass\nshift at $p \\approx$ 0 becomes slightly repulsive whereas the width increases\nsubstantially.",
"arxiv_id": "nucl-th/9801055",
"authors": [
"L. A. Kondratyuk",
"A. Sibirtsev",
"W. Cassing",
"Ye. S. Golubeva",
"M. Effenberger"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.1078",
"journal_ref": "Phys.Rev.C58:1078-1085,1998",
"title": "$\\rho$-meson properties at finite nuclear density",
"url": "https://arxiv.org/abs/nucl-th/9801055"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c5655a1a-3377-4455-84f6-73e940361862",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}