dorsal/arxiv
View SchemaThe Influence of High Multiplicities at RHIC on the Gamov Factor
| Authors | D. V. Anchishkin, W. A. Zajc, G. M. Zinovjev |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9904061 |
| URL | https://arxiv.org/abs/nucl-th/9904061 |
Abstract
The corrections for two-pion correlations due to electromagnetic final-state interactions at high secondary multiplicities are investigated. The analysis is performed by solving the Schr\"odinger equation with a potential which is dictated by the multi-particle environment. Two different post-freeze-out scenarios are examined. First, for a uniformly spread environment of secondary particles, a screened Coulomb potential is exploited. It is shown that the presence of a static and uniform post-freeze-out medium results in a noticeable deviation from the standard Gamov factor. However, after going to a more realistic model of an expanding pion system, this conclusion changes drastically. We argue that the density of the secondary pions n_\pi(t,R), where R is a distance from the fireball, is bounded from above by n_\pi(t,R)\le const/R^2 for all times t. Then, a two-particle scalar potential which is found as a solution of the Maxwell equation for non-uniform medium replaces the screened one. Even this upper limit does not result in an essential deviation from the Gamov correction.
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"abstract": "The corrections for two-pion correlations due to electromagnetic final-state\ninteractions at high secondary multiplicities are investigated. The analysis is\nperformed by solving the Schr\\\"odinger equation with a potential which is\ndictated by the multi-particle environment. Two different post-freeze-out\nscenarios are examined. First, for a uniformly spread environment of secondary\nparticles, a screened Coulomb potential is exploited. It is shown that the\npresence of a static and uniform post-freeze-out medium results in a noticeable\ndeviation from the standard Gamov factor. However, after going to a more\nrealistic model of an expanding pion system, this conclusion changes\ndrastically. We argue that the density of the secondary pions n_\\pi(t,R), where\nR is a distance from the fireball, is bounded from above by n_\\pi(t,R)\\le\nconst/R^2 for all times t. Then, a two-particle scalar potential which is found\nas a solution of the Maxwell equation for non-uniform medium replaces the\nscreened one. Even this upper limit does not result in an essential deviation\nfrom the Gamov correction.",
"arxiv_id": "nucl-th/9904061",
"authors": [
"D. V. Anchishkin",
"W. A. Zajc",
"G. M. Zinovjev"
],
"categories": [
"nucl-th"
],
"title": "The Influence of High Multiplicities at RHIC on the Gamov Factor",
"url": "https://arxiv.org/abs/nucl-th/9904061"
},
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