Quarkonium inside the quark-gluon plasma: Diffusion, dissociation, recombination, and energy loss

Yao, Xiaojun; Müller, Berndt

doi:10.1103/PhysRevD.100.014008

Title: Quarkonium inside the quark-gluon plasma: Diffusion, dissociation, recombination, and energy loss

Abstract

We consider the quarkonium diffusion, dissociation, and recombination inside quark-gluon plasma. We compute scattering amplitudes in potential nonrelativistic QCD for relevant processes. These processes include the gluon absorption/emission at the order gr, inelastic scattering at the order g²r, and elastic scattering with medium constituents at the order g²r². We show these amplitudes satisfy the Ward identity. We also consider one-loop corrections. The dipole interaction between the color singlet and octet is not running at the one-loop level. Interference between the tree-level gluon absorption/emission and its thermal loop corrections cancels the collinear divergence in the t -channel inelastic scattering. The inelastic scattering has no soft divergence because of the finite binding energy of quarkonium. We write out the diffusion, dissociation, and recombination terms explicitly for a Boltzmann transport equation and define the dissociation and recombination rates. Furthermore, we calculate the diffusion coefficient of quarkonium. We find our result of the diffusion coefficient differs from a previous calculation by 2 to 3 orders of magnitude. Lastly, we explain this and can reproduce the previous result in a certain limit. Finally, we discuss two mechanisms of quarkonium energy loss inside quark-gluon plasma.

Authors:: Yao, Xiaojun; Müller, Berndt

Publication Date:: Mon Jul 08 00:00:00 EDT 2019

Research Org.:: Duke Univ., Durham, NC (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1532433

Alternate Identifier(s):: OSTI ID: 1609633

Grant/Contract Number:: FG02-05ER41367

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 100 Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; astronomy & astrophysics; physics; effective field theory; quark-gluon plasma; relativistic heavy-ion collisions; quarkonia

Citation Formats


                    Yao, Xiaojun, and Müller, Berndt. Quarkonium inside the quark-gluon plasma: Diffusion, dissociation, recombination, and energy loss.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.014008.

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                    Yao, Xiaojun, & Müller, Berndt. Quarkonium inside the quark-gluon plasma: Diffusion, dissociation, recombination, and energy loss.  United States.  https://doi.org/10.1103/PhysRevD.100.014008

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                    Yao, Xiaojun, and Müller, Berndt. Mon .  
"Quarkonium inside the quark-gluon plasma: Diffusion, dissociation, recombination, and energy loss".  United States.  https://doi.org/10.1103/PhysRevD.100.014008.

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@article{osti_1532433,

  title        = {Quarkonium inside the quark-gluon plasma: Diffusion, dissociation, recombination, and energy loss},

  author       = {Yao, Xiaojun and Müller, Berndt},

  abstractNote = {We consider the quarkonium diffusion, dissociation, and recombination inside quark-gluon plasma. We compute scattering amplitudes in potential nonrelativistic QCD for relevant processes. These processes include the gluon absorption/emission at the order gr, inelastic scattering at the order g2r, and elastic scattering with medium constituents at the order g2r2. We show these amplitudes satisfy the Ward identity. We also consider one-loop corrections. The dipole interaction between the color singlet and octet is not running at the one-loop level. Interference between the tree-level gluon absorption/emission and its thermal loop corrections cancels the collinear divergence in the t -channel inelastic scattering. The inelastic scattering has no soft divergence because of the finite binding energy of quarkonium. We write out the diffusion, dissociation, and recombination terms explicitly for a Boltzmann transport equation and define the dissociation and recombination rates. Furthermore, we calculate the diffusion coefficient of quarkonium. We find our result of the diffusion coefficient differs from a previous calculation by 2 to 3 orders of magnitude. Lastly, we explain this and can reproduce the previous result in a certain limit. Finally, we discuss two mechanisms of quarkonium energy loss inside quark-gluon plasma.},

  doi          = {10.1103/PhysRevD.100.014008},

  journal      = {Physical Review. D.},

  number       = 1,

  volume       = 100,

  place        = {United States},

  year         = {Mon Jul 08 00:00:00 EDT 2019},

  month        = {Mon Jul 08 00:00:00 EDT 2019}

}

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Title: Quarkonium inside the quark-gluon plasma: Diffusion, dissociation, recombination, and energy loss

Abstract

Citation Formats

Enhanced J / ψ production in deconfined quark matter journal, April 2001

Heavy quark master equations in the Lindblad form at high temperatures journal, March 2015

Quantum and classical dynamics of heavy quarks in a quark-gluon plasma journal, June 2018

Quarkonium in-medium transport equation derived from first principles journal, May 2019

Charmonium production from nonequilibrium charm and anticharm quarks in quark-gluon plasma journal, May 2012

Diffusion of charmed quarks in the quark-gluon plasma journal, May 1988

Poincaré invariance constraints on NRQCD and potential NRQCD journal, December 2003

Thermal width and gluo-dissociation of quarkonium in pNRQCD journal, December 2011

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D 51 , 1125 (1995)] journal, May 1997

J / ψ and η c in the Deconfined Plasma from Lattice QCD journal, January 2004

Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma journal, May 2012

Short-distance analysis for heavy-quark systems journal, September 1979

Effective-field theories for heavy quarkonium journal, December 2005

Real-time static potential in hot QCD journal, March 2007

Heavy quarks in turbulent QCD plasmas journal, March 2018

Thermal versus direct J/Ψ production in ultrarelativistic heavy-ion collisions journal, December 2001

Widths of quarkonia in quark gluon plasma journal, October 2007

Real and imaginary-time correlators in a thermal medium journal, June 2008

The renormalization group improvement of the QCD static potentials journal, December 2000

Imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma journal, June 2009

Potential NRQCD: an effective theory for heavy quarkonium journal, January 2000

Approach to equilibrium of a quarkonium in a quark-gluon plasma journal, October 2018

Behavior of charmonium systems after deconfinement journal, May 2004

Quarkonium suppression in heavy-ion collisions: An open quantum system approach journal, August 2017

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium journal, February 1995

Short-distance analysis for heavy-quark systems journal, September 1979

Doubly heavy baryons, heavy quark-diquark symmetry, and nonrelativistic QCD journal, February 2006

J/ψ suppression by quark-gluon plasma formation journal, October 1986

Toward an understanding of the single electron data measured at the BNL Relativistic Heavy Ion Collider (RHIC) journal, July 2008

Quark liberation at high temperature: A Monte Carlo study of SU(2) gauge theory journal, July 1981

Quarkonium production in heavy ion collisions: coupled Boltzmann transport equations journal, February 2019

Erratum: Approach to equilibrium of quarkonium in quark-gluon plasma [Phys. Rev. C 97 , 014908 (2018)] journal, April 2018

The heavy-quark potential in an anisotropic plasma journal, April 2008

How much do heavy quarks thermalize in a heavy ion collision? journal, June 2005

Color screening and regeneration of bottomonia in high-energy heavy-ion collisions journal, November 2017

Heavy quarkonium suppression in a fireball journal, April 2018

Heavy quarkonium in a weakly-coupled quark-gluon plasma below the melting temperature journal, September 2010

Linearized Boltzmann-Langevin model for heavy quark transport in hot and dense QCD matter journal, December 2018

Heavy quark–antiquark free energy and the renormalized Polyakov loop journal, September 2002

Toward the determination of heavy-quark transport coefficients in quark-gluon plasma journal, May 2019

Approach to equilibrium of quarkonium in quark-gluon plasma journal, January 2018

Bulk viscous corrections to screening and damping in QCD at high temperatures journal, January 2017

Thermal width and quarkonium dissociation by inelastic parton scattering journal, May 2013

Quarkonium transport in thermal AdS/CFT journal, October 2008

Enhanced $J / ψ$ production in deconfined quark matter
journal, April 2001

Heavy quark master equations in the Lindblad form at high temperatures
journal, March 2015

Quantum and classical dynamics of heavy quarks in a quark-gluon plasma
journal, June 2018

Quarkonium in-medium transport equation derived from first principles
journal, May 2019

Charmonium production from nonequilibrium charm and anticharm quarks in quark-gluon plasma
journal, May 2012

Diffusion of charmed quarks in the quark-gluon plasma
journal, May 1988

Poincaré invariance constraints on NRQCD and potential NRQCD
journal, December 2003

Thermal width and gluo-dissociation of quarkonium in pNRQCD
journal, December 2011

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D 51 , 1125 (1995)]
journal, May 1997

$J / ψ$ and $η_{c}$ in the Deconfined Plasma from Lattice QCD
journal, January 2004

Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
journal, May 2012

Short-distance analysis for heavy-quark systems
journal, September 1979

Effective-field theories for heavy quarkonium
journal, December 2005

Real-time static potential in hot QCD
journal, March 2007

Heavy quarks in turbulent QCD plasmas
journal, March 2018

Thermal versus direct J/Ψ production in ultrarelativistic heavy-ion collisions
journal, December 2001

Widths of quarkonia in quark gluon plasma
journal, October 2007

Real and imaginary-time correlators in a thermal medium
journal, June 2008

The renormalization group improvement of the QCD static potentials
journal, December 2000

Imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
journal, June 2009

Potential NRQCD: an effective theory for heavy quarkonium
journal, January 2000

Approach to equilibrium of a quarkonium in a quark-gluon plasma
journal, October 2018

Behavior of charmonium systems after deconfinement
journal, May 2004

Quarkonium suppression in heavy-ion collisions: An open quantum system approach
journal, August 2017

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium
journal, February 1995

Short-distance analysis for heavy-quark systems
journal, September 1979

Doubly heavy baryons, heavy quark-diquark symmetry, and nonrelativistic QCD
journal, February 2006

J/ψ suppression by quark-gluon plasma formation
journal, October 1986

Toward an understanding of the single electron data measured at the BNL Relativistic Heavy Ion Collider (RHIC)
journal, July 2008

Quark liberation at high temperature: A Monte Carlo study of SU(2) gauge theory
journal, July 1981

Quarkonium production in heavy ion collisions: coupled Boltzmann transport equations
journal, February 2019

Erratum: Approach to equilibrium of quarkonium in quark-gluon plasma [Phys. Rev. C 97 , 014908 (2018)]
journal, April 2018

The heavy-quark potential in an anisotropic plasma
journal, April 2008

How much do heavy quarks thermalize in a heavy ion collision?
journal, June 2005

Color screening and regeneration of bottomonia in high-energy heavy-ion collisions
journal, November 2017

Heavy quarkonium suppression in a fireball
journal, April 2018

Heavy quarkonium in a weakly-coupled quark-gluon plasma below the melting temperature
journal, September 2010

Linearized Boltzmann-Langevin model for heavy quark transport in hot and dense QCD matter
journal, December 2018

Heavy quark–antiquark free energy and the renormalized Polyakov loop
journal, September 2002

Toward the determination of heavy-quark transport coefficients in quark-gluon plasma
journal, May 2019

Approach to equilibrium of quarkonium in quark-gluon plasma
journal, January 2018

Bulk viscous corrections to screening and damping in QCD at high temperatures
journal, January 2017

Thermal width and quarkonium dissociation by inelastic parton scattering
journal, May 2013

Quarkonium transport in thermal AdS/CFT
journal, October 2008