Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP09(2022)200
Keywords
Quark-Gluon Plasma; Quarkonium
Categories
Funding
- NSFC of China [12065004, 12147211]
- U.S. Department of Energy, Office of Science, Office of Nuclear Physics Award [DE-SC0013470]
- Research Council of Norway under the FRIPRO Young Research Talent grant [286883]
- UNINETT Sigma2 - the National Infrastructure for High Performance Computing and Data Storage in Norway [NN9578K-QCDrtX]
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We generalize a complex heavy-quark potential model from an isotropic QCD plasma to an anisotropic one by replacing the Debye mass m(D) with an anisotropic screening mass. The resulting potential model can effectively describe the angular dependence by using angle-averaged screening masses. By solving a one-dimensional Schrodinger equation with the potential model, we can reproduce the full three-dimensional results for the binding energies and decay widths of low-lying quarkonium bound states accurately. We also demonstrate that the one-dimensional effective potential can accurately describe the time evolution of the vacuum overlaps obtained using the full three-dimensional anisotropic potential.
We generalize a complex heavy-quark potential model from an isotropic QCD plasma to an anisotropic one by replacing the Debye mass m(D) with an anisotropic screening mass depending on the quark pair alignment with respect to the direction of anisotropy. Such an angle-dependent mass is determined by matching the perturbative contributions in the potential model to the exact result obtained in the Hard-Thermal-Loop resummed perturbation theory. An advantage of the resulting potential model is that its angular dependence can be effectively described by using a set of angle-averaged screening masses as proposed in our previous work. Consequently, one could solve a one-dimensional Schrodinger equation with a potential model built by changing the anisotropic screening masses into the corresponding angle-averaged ones, and reproduce the full three-dimensional results for the binding energies and decay widths of low-lying quarkonium bound states to very high accuracy. Finally, turning to dynamics, we demonstrate that the one-dimensional effective potential can accurately describe the time evolution of the vacuum overlaps obtained using the full three-dimensional anisotropic potential. This includes the splitting of different p-wave polarizations.
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