Abstract:We revisit the standard treatment [Xu, Kharzeev, Satz and Wang, Phys. Rev. C 53, 3051 (1996)] of J/ψ suppression due to gluonic bombardment in an equilibrating quark-gluon plasma. Effects arising from gluon fugacity, relative g − ψ flux, and ψ meson formation time are correctly incorporated in the formulation of the gluon number density, velocity-weighted cross section, and the survival probability. Our new formulae are applied to numerically study the pattern of J/ψ suppression in the central rapidity region… Show more
“…This is precisely the case treated in our earlier paper [9] where the g − ψ relative flux was correctly taken in the ψ meson rest frame. Eqs.…”
Section: Static Medium Inmentioning
confidence: 71%
“…We now proceed to formulate the statistical mechanics of some physical observables following closely the logic of Ref. [9].…”
Section: Equation Of Motionmentioning
confidence: 99%
“…Figs.1, 2 borrowed from Ref. [9] display the temperature and transverse momentum dependence of the usual rate Γ based on (32, 33) relevant to the LHC(1) initial fugacity λ gi . For the sake of comparison the corresponding curves of the modified rate Γ using (34) are drawn in Figs.3, 4.…”
Section: Static Medium Inmentioning
confidence: 99%
“…The solid curve is the result of Ref. [9], i.e., in the absence of flow while the dotted and dashed curves represent the survival of J/ψ when the plasma is undergoing longitudinal expansion with the initial values of the length of the cylinder L i = 0.1 fm and 1 fm, respectively. …”
Section: Static Medium Inmentioning
confidence: 99%
“…This prescription was also utilized in [9] and it improves the work of [8] by incorporating the formation time.…”
We explicitly take into account the effect of hydrodynamic expansion profile on the gluonic breakup of J/ψ'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 Γ , and ψ survival probability S. A novel type of partial wave interference mechanism is found to operate in the formula of Γ . 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 [9]. 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.
“…This is precisely the case treated in our earlier paper [9] where the g − ψ relative flux was correctly taken in the ψ meson rest frame. Eqs.…”
Section: Static Medium Inmentioning
confidence: 71%
“…We now proceed to formulate the statistical mechanics of some physical observables following closely the logic of Ref. [9].…”
Section: Equation Of Motionmentioning
confidence: 99%
“…Figs.1, 2 borrowed from Ref. [9] display the temperature and transverse momentum dependence of the usual rate Γ based on (32, 33) relevant to the LHC(1) initial fugacity λ gi . For the sake of comparison the corresponding curves of the modified rate Γ using (34) are drawn in Figs.3, 4.…”
Section: Static Medium Inmentioning
confidence: 99%
“…The solid curve is the result of Ref. [9], i.e., in the absence of flow while the dotted and dashed curves represent the survival of J/ψ when the plasma is undergoing longitudinal expansion with the initial values of the length of the cylinder L i = 0.1 fm and 1 fm, respectively. …”
Section: Static Medium Inmentioning
confidence: 99%
“…This prescription was also utilized in [9] and it improves the work of [8] by incorporating the formation time.…”
We explicitly take into account the effect of hydrodynamic expansion profile on the gluonic breakup of J/ψ'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 Γ , and ψ survival probability S. A novel type of partial wave interference mechanism is found to operate in the formula of Γ . 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 [9]. 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.
The thermal width of heavy-quarkonium bound states in a quark-gluon plasma
has been recently derived in an effective field theory approach. Two phenomena
contribute to the width: the Landau damping phenomenon and the break-up of a
colour-singlet bound state into a colour-octet heavy quark-antiquark pair by
absorption of a thermal gluon. In the paper, we investigate the relation
between the singlet-to-octet thermal break-up and the so-called
gluo-dissociation, a mechanism for quarkonium dissociation widely used in
phenomenological approaches. The gluo-dissociation thermal width is obtained by
convoluting the gluon thermal distribution with the cross section of a gluon
and a 1S quarkonium state to a colour octet quark-antiquark state in vacuum, a
cross section that at leading order, but neglecting colour-octet effects, was
computed long ago by Bhanot and Peskin. We will, first, show that the effective
field theory framework provides a natural derivation of the gluo-dissociation
factorization formula at leading order, which is, indeed, the singlet-to-octet
thermal break-up expression. Second, the singlet-to-octet thermal break-up
expression will allow us to improve the Bhanot--Peskin cross section by
including the contribution of the octet potential, which amounts to include
final-state interactions between the heavy quark and antiquark. Finally, we
will quantify the effects due to final-state interactions on the
gluo-dissociation cross section and on the quarkonium thermal width.Comment: 17 pages, 6 figure
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.