dorsal/arxiv
View SchemaScaling of $v_2$ in heavy ion collisions
| Authors | Giorgio Torrieri |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0702013 |
| URL | https://arxiv.org/abs/nucl-th/0702013 |
| DOI | 10.1103/PhysRevC.76.024903 |
| Journal | Phys.Rev.C76:024903,2007 |
Abstract
We interpret the scaling of the corrected elliptic flow parameter w.r.t. the corrected multiplicity, observed to hold in heavy ion collisions for a wide variety of energies and system sizes. We use dimensional analysis and power-counting arguments to place constraints on the changes of initial conditions in systems with different center of mass energy $\sqrt{s}$. Specifically, we show that a large class of changes in the (initial) equation of state, mean free path, and longitudinal geometry over the observed $\sqrt{s}$ are likely to spoil the scaling in $v_2$ observed experimentally. We therefore argue that the system produced at most Super Proton Synchrotron (SPS) and Relativistic Heavy Ion Collider (RHIC) energies is fundamentally the same as far as the soft and approximately thermalized degrees of freedom are considered. The ``sQGP'' (Strongly interacting Quark-Gluon Plasma) phase, if it is there, is therefore not exclusive to RHIC. We suggest, as a goal for further low-energy heavy ion experiments, to search for a ``transition'' $\sqrt{s}$ where the observed scaling breaks.
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"abstract": "We interpret the scaling of the corrected elliptic flow parameter w.r.t. the\ncorrected multiplicity, observed to hold in heavy ion collisions for a wide\nvariety of energies and system sizes. We use dimensional analysis and\npower-counting arguments to place constraints on the changes of initial\nconditions in systems with different center of mass energy $\\sqrt{s}$.\nSpecifically, we show that a large class of changes in the (initial) equation\nof state, mean free path, and longitudinal geometry over the observed\n$\\sqrt{s}$ are likely to spoil the scaling in $v_2$ observed experimentally. We\ntherefore argue that the system produced at most Super Proton Synchrotron (SPS)\nand Relativistic Heavy Ion Collider (RHIC) energies is fundamentally the same\nas far as the soft and approximately thermalized degrees of freedom are\nconsidered. The ``sQGP\u0027\u0027 (Strongly interacting Quark-Gluon Plasma) phase, if it\nis there, is therefore not exclusive to RHIC. We suggest, as a goal for further\nlow-energy heavy ion experiments, to search for a ``transition\u0027\u0027 $\\sqrt{s}$\nwhere the observed scaling breaks.",
"arxiv_id": "nucl-th/0702013",
"authors": [
"Giorgio Torrieri"
],
"categories": [
"nucl-th",
"hep-ph",
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],
"doi": "10.1103/PhysRevC.76.024903",
"journal_ref": "Phys.Rev.C76:024903,2007",
"title": "Scaling of $v_2$ in heavy ion collisions",
"url": "https://arxiv.org/abs/nucl-th/0702013"
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