The complex heavy-quark potential in an anisotropic quark-gluon plasma — Statics and dynamics

Dong, Lihua; Yun, Guo; Islam, Ajaharul; Rothkopf, Alexander; Strickland, Michael

doi:10.1007/jhep09(2022)200

Cited by 4 publications

(9 citation statements)

References 70 publications

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“…Here we take the initial hard scale to be λ 0 = 630 MeV. Further details of the numerical method can be found in [17]. We take the box size to be L = 2.56 fm, m b = 4.7 GeV, and use N = 128 lattice points in each direction for bottomonium states.…”

Section: Resultsmentioning

confidence: 99%

“…After considering the perturbative and non-perturbative contributions as shown in our works [17,18], the total complex isotropic HQ potential is given by Re…”

Section: Isotropic An-isotropic and Effective Hq Potentialmentioning

confidence: 99%

“…The real and imaginary parts of the 3D anisotropic potential model used in our previous work [17] are…”

Section: Isotropic An-isotropic and Effective Hq Potentialmentioning

confidence: 99%

“…where Y lm (θ, ϕ) are spherical harmonics with azimuthal quantum number l and magnetic quantum number m. We obtain the real and imaginary parts of the 1D effective potential model as [17] Re Here, the wave function has been initialized as pure Υ(1S) eigenstate [17].…”

Section: Isotropic An-isotropic and Effective Hq Potentialmentioning

confidence: 99%

“…Many prior works have studied heavy quarkonium physics by considering the momentum-space anisotropy inside the QGP [7,[9][10][11][12][13][14][15]. In this proceeding contribution, we emphasize the efficient consideration of momentum-space anisotropy in a one-dimensional effective theoretical framework and compare the one-and three-dimensional results numerically [16][17][18].…”

Section: Introductionmentioning

confidence: 98%

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The effective complex heavy-quark potential in an anisotropic quark-gluon plasma

Islam

Dong²,

Yun³

et al. 2022

EPJ Web Conf.

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We introduce a method for reducing anisotropic heavy-quark potentials to isotropic potentials by using an effective screening mass that depends on the quantum numbers l and m of a given state. We demonstrate that, using the resulting 1D effective potential model, one can solve a 1D Schrödinger equation and reproduce the full 3D results for the energies and binding energies of low-lying heavy-quarkonium bound states to relatively high accuracy. This includes the splitting of different p-wave polarizations. The resulting 1D effective model provides a way to include momentum anisotropy effects in open quantum system simulations of heavy-quarkonium dynamics in the quark-gluon plasma.

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Section: Resultsmentioning

confidence: 99%

“…After considering the perturbative and non-perturbative contributions as shown in our works [17,18], the total complex isotropic HQ potential is given by Re…”

Section: Isotropic An-isotropic and Effective Hq Potentialmentioning

confidence: 99%

“…The real and imaginary parts of the 3D anisotropic potential model used in our previous work [17] are…”

Section: Isotropic An-isotropic and Effective Hq Potentialmentioning

confidence: 99%

Section: Isotropic An-isotropic and Effective Hq Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 3 more Smart Citations

The effective complex heavy-quark potential in an anisotropic quark-gluon plasma

Islam

Dong²,

Yun³

et al. 2022

EPJ Web Conf.

Self Cite

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Jet polarisation in an anisotropic medium

Hauksson

Iancu

2023

J. High Energ. Phys.

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We study the evolution of an energetic jet which propagates in an anisotropic quark-gluon plasma, as created in the intermediate stages of ultrarelativistic heavy-ion collisions. We argue that the partons of the jet should acquire a non-zero average polarisation proportional to the medium anisotropy. We first observe that the medium anisotropy introduces a difference between the rates for transverse momentum broadening along the two directions perpendicular to the jet axis. In turn, this difference leads to a polarisation-dependent bias in the BDMPS-Z rates for medium-induced gluon branching. Accordingly, the daughter gluons in a branching process can carry net polarisation even if their parent gluon was unpolarised. Using these splitting rates, we construct kinetic equations which describe the production and transmission of polarisation via multiple branching in an anisotropic medium. The solutions to these equations show that polarisation is efficiently produced via quasi-democratic branchings, but then it is rapidly washed out by the subsequent branchings, due to the inability of soft gluons to keep trace of the polarisation of their parents. Based on that, we conclude that a net polarisation for the jet should survive in the final state if and only if the medium anisotropy is sizeable as the jet escapes the medium.

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Effect of anisotropy on the formation of heavy quarkonium bound states

Carrington,

Kunstatter,

Mukherjee

2024

Phys. Rev. C

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We study the real part of the static potential of a heavy quark-antiquark system in an anisotropic plasma medium. We use a quasiparticle approach where the collective dynamics of the plasma constituents is described using hard-loop perturbation theory. The parton distribution function is characterized by a set of parameters that can accurately describe the anisotropy of the plasma produced in a heavy ion collision. We calculate the potential numerically in strongly anisotropic systems and study the angular dependence of the distortion of the potential relative to the isotropic one. We obtain an analytic expression for the real part of the heavy quark potential in the limit of weak anisotropy using a model that expresses the potential in terms of effective screening masses that depend on the anisotropy parameters and the orientation of the quark-antiquark pair. A one-dimensional potential is formulated in terms of angle averaged screening masses that incorporate the anisotropy of the medium into a radial coordinate. We solve the corresponding Schrödinger equation and show that the magnitude of the binding energy typically increases with anisotropy. Anisotropy can play an important role, especially in states with nonzero angular momentum. This means that the number of bound states that are formed could depend on specific characteristics of the anisotropy of the plasma. Our study suggests that plasma anisotropy plays an important role in the dynamics of heavy quarkonium and motivates further study. Published by the American Physical Society 2024

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The complex heavy-quark potential in an anisotropic quark-gluon plasma — Statics and dynamics

Cited by 4 publications

References 70 publications

The effective complex heavy-quark potential in an anisotropic quark-gluon plasma

The effective complex heavy-quark potential in an anisotropic quark-gluon plasma

Jet polarisation in an anisotropic medium

Effect of anisotropy on the formation of heavy quarkonium bound states

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