dorsal/arxiv
View SchemaTransverse Momentum Dependence of Hanbury-Brown/Twiss Correlation Radii
| Authors | Urs Achim Wiedemann, Pierre Scotto, Ulrich Heinz |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9508040 |
| URL | https://arxiv.org/abs/nucl-th/9508040 |
| DOI | 10.1103/PhysRevC.53.918 |
| Journal | Phys.Rev.C53:918-931,1996 |
Abstract
The transverse momentum dependence of Hanbury-Brown/Twiss (HBT) interferometry radii for 2-body correlation functions provides experimental access to the collective dynamics in heavy-ion collisions. We present an analytical approximation scheme for these HBT radii which combines the recently derived model-independent expressions with an approximate determination of the saddle point of the emission function. The method is illustrated for a longitudinally boost-invariant hydrodynamical model of a heavy ion collision with freeze-out on a sharp hypersurface. The analytical approximation converges rapidly to the width of the numerically computed correlation function and reproduces correctly its exact transverse momentum dependence. However, higher order corrections within our approximation scheme are essential, and the previously published lowest order results with simple $m_{\perp}$ scaling behaviour are quantitatively and qualitatively unreliable.
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"abstract": "The transverse momentum dependence of Hanbury-Brown/Twiss (HBT)\ninterferometry radii for 2-body correlation functions provides experimental\naccess to the collective dynamics in heavy-ion collisions. We present an\nanalytical approximation scheme for these HBT radii which combines the recently\nderived model-independent expressions with an approximate determination of the\nsaddle point of the emission function. The method is illustrated for a\nlongitudinally boost-invariant hydrodynamical model of a heavy ion collision\nwith freeze-out on a sharp hypersurface. The analytical approximation converges\nrapidly to the width of the numerically computed correlation function and\nreproduces correctly its exact transverse momentum dependence. However, higher\norder corrections within our approximation scheme are essential, and the\npreviously published lowest order results with simple $m_{\\perp}$ scaling\nbehaviour are quantitatively and qualitatively unreliable.",
"arxiv_id": "nucl-th/9508040",
"authors": [
"Urs Achim Wiedemann",
"Pierre Scotto",
"Ulrich Heinz"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.53.918",
"journal_ref": "Phys.Rev.C53:918-931,1996",
"title": "Transverse Momentum Dependence of Hanbury-Brown/Twiss Correlation Radii",
"url": "https://arxiv.org/abs/nucl-th/9508040"
},
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