dorsal/arxiv
View Schema$J/\psi$ Gluonic Dissociation Revisited : II. Hydrodynamic Expansion Effects
| Authors | B. K. Patra, V. J. Menon |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0503034 |
| URL | https://arxiv.org/abs/nucl-th/0503034 |
| DOI | 10.1140/epjc/s2005-02273-2 |
| Journal | Eur.Phys.J.C44:567-576,2005 |
Abstract
We explicitly take into account the effect of hydrodynamic expansion profile on the gluonic breakup of $J/\psi$'s produced in an equilibrating parton plasma. Attention is paid to the space-time inhomogeneities as well as Lorentz frames while deriving new expressions for the gluon number density $n_g$, average dissociation rate $<\tilde{\Gamma}>$, and $\psi$ survival probability $S$. A novel type of partial wave {\em interference} mechanism is found to operate in the formula of $<\tilde{\Gamma}>$. Nonrelativistic longitudinal expansion fro small length of the initial cylinder is found to push the $S(p_T)$ graph above the no flow case considered by us earlier \cite{rev1}. However, relativistic flow corresponding to large length of the initial cylinder pushes the curve of $S(p_T)$ downwards at LHC but upwards at RHIC. This mutually different effect on $S(p_T)$ may be attributed to the different initial temperatures generated at LHC and RHIC.
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"abstract": "We explicitly take into account the effect of hydrodynamic expansion profile\non the gluonic breakup of $J/\\psi$\u0027s produced in an equilibrating parton\nplasma. Attention is paid to the space-time inhomogeneities as well as Lorentz\nframes while deriving new expressions for the gluon number density $n_g$,\naverage dissociation rate $\u003c\\tilde{\\Gamma}\u003e$, and $\\psi$ survival probability\n$S$. A novel type of partial wave {\\em interference} mechanism is found to\noperate in the formula of $\u003c\\tilde{\\Gamma}\u003e$. Nonrelativistic longitudinal\nexpansion fro small length of the initial cylinder is found to push the\n$S(p_T)$ graph above the no flow case considered by us earlier \\cite{rev1}.\nHowever, relativistic flow corresponding to large length of the initial\ncylinder pushes the curve of $S(p_T)$ downwards at LHC but upwards at RHIC.\nThis mutually different effect on $S(p_T)$ may be attributed to the different\ninitial temperatures generated at LHC and RHIC.",
"arxiv_id": "nucl-th/0503034",
"authors": [
"B. K. Patra",
"V. J. Menon"
],
"categories": [
"nucl-th"
],
"doi": "10.1140/epjc/s2005-02273-2",
"journal_ref": "Eur.Phys.J.C44:567-576,2005",
"title": "$J/\\psi$ Gluonic Dissociation Revisited : II. Hydrodynamic Expansion Effects",
"url": "https://arxiv.org/abs/nucl-th/0503034"
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