One-dimensional complex potentials for quarkonia in a quark–gluon plasma

Master equations of the Lindblad type have recently been derived to describe the dynamics of quarkonium states in the quark–gluon plasma. Because their full resolution in three dimensions is very challenging, the equations are often reduced to one dimension. The main ingredient of these equations is...

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Bibliographic Details
Published inThe European physical journal. A, Hadrons and nuclei Vol. 58; no. 10
Main Authors Katz, Roland, Delorme, Stéphane, Gossiaux, Pol-Bernard
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 19.10.2022
EDP Sciences
Subjects
Hadrons
Heavy Ions
High Energy Physics - Phenomenology
Nuclear Fusion
Nuclear Physics
Nuclear Theory
Particle and Nuclear Physics
Physics
Physics and Astronomy
Regular Article - Theoretical Physics
spectral
potential: complex
quark antiquark: pair
decay: width
master equation
dimension: 1
quark gluon: plasma
dimension: 3
lattice field theory
quarkonium
resolution
mass: temperature dependence
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Summary:Master equations of the Lindblad type have recently been derived to describe the dynamics of quarkonium states in the quark–gluon plasma. Because their full resolution in three dimensions is very challenging, the equations are often reduced to one dimension. The main ingredient of these equations is the complex potential that describes the binding of the heavy quark-antiquark pairs and their interactions with the medium. In this work, we propose a one-dimensional complex potential parameterized to reproduce at best two key properties – the temperature-dependent masses of the eigenstates and their decay widths – of a three-dimensional lattice QCD inspired potential. Their spectral decompositions are calculated to check their compatibility with the positivity of the master equations.
ISSN:1434-601X
1434-6001
1434-601X
DOI:10.1140/epja/s10050-022-00846-z