Complex-energy spectrum and dissociation of heavy quarkonia in an anisotropic collisional quark-gluon plasma
Abstract
We solve the Schrödinger equation for heavy quarkonia using the full complex potential of a momentum-anisotropic, collisional quark-gluon plasma. The real and imaginary parts of the complex eigenvalue give the in-medium binding energy and thermal width, while the corresponding eigenfunction determines the spatial distribution of the state. The noncentral anisotropic interaction is treated by expanding the potential in Legendre multipoles and solving the resulting coupled radial equations at fixed magnetic quantum number. The collision rate is tied to the running coupling, with the pinch singularity of the imaginary potential used to restrict the allowed parameter domain. Along the resulting pinch-free trajectories, the dissociation temperature of the 1S charmonium and bottomonium states increases with anisotropy. The widths obtained from the full complex eigenvalue differ appreciably from first-order estimates based on the imaginary potential, while the corresponding 1S eigenfunctions remain dominated by their leading S-wave component. We compare the thermal widths with available lattice-QCD results and use them to illustrate a static survival probability.
Related
- Anisotropic chromo-field fluctuations and spin alignment of quarkonia
- Mass spectrum and decay widths of charmonium-like mesons: A diabatic approach with complex scaling
- Light cone distributions of P-wave quarkonia
- Resummation of threshold double logarithms in gluon fragmentation into 1S0[1,8] quarkonia
- Dalitz decays of vector heavy quarkonia into χQJ(1P) in the Bethe-Salpeter approach
BibTeX
@misc{haque2026complexenergy,
title = {{Complex-energy spectrum and dissociation of heavy quarkonia in an anisotropic collisional quark-gluon plasma}},
author = {Najmul Haque},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15505},
eprint = {2609.15505},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15505},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Complex-energy spectrum and dissociation of heavy quarkonia in an anisotropic collisional quark-gluon plasma
AU - Najmul Haque
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.15505
UR - https://arxiv.org/abs/2609.15505
AB - We solve the Schrödinger equation for heavy quarkonia using the full complex potential of a momentum-anisotropic, collisional quark-gluon plasma. The real and imaginary parts of the complex eigenvalue give the in-medium binding energy and thermal width, while the corresponding eigenfunction determines the spatial distribution of the state. The noncentral anisotropic interaction is treated by expanding the potential in Legendre multipoles and solving the resulting coupled radial equations at fixed magnetic quantum number. The collision rate is tied to the running coupling, with the pinch singularity of the imaginary potential used to restrict the allowed parameter domain. Along the resulting pinch-free trajectories, the dissociation temperature of the 1S charmonium and bottomonium states increases with anisotropy. The widths obtained from the full complex eigenvalue differ appreciably from first-order estimates based on the imaginary potential, while the corresponding 1S eigenfunctions remain dominated by their leading S-wave component. We compare the thermal widths with available lattice-QCD results and use them to illustrate a static survival probability.
ER -