各向异性碰撞夸克-胶子等离子体中重夸克偶素的复能量谱与解离
Complex-energy spectrum and dissociation of heavy quarkonia in an anisotropic collisional quark-gluon plasma
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中文总结 AI 辅助
本研究用完整复势求解薛定谔方程，研究各向异性碰撞QGP中重夸克偶素的束缚能与热宽度，发现解离温度随各向异性增加，并比较了格点QCD结果。
中文摘要 AI 辅助
我们利用动量各向异性、碰撞性夸克-胶子等离子体的完整复势求解了重夸克偶素的薛定谔方程。复特征值的实部和虚部分别给出介质中的束缚能和热宽度，而相应的本征函数则决定该态的空间分布。通过将势展开为勒让德多极矩，并在固定磁量子数下求解所得的耦合径向方程，来处理非中心各向异性相互作用。碰撞率与跑动耦合常数相关联，并利用虚势的收缩奇点来限制允许的参数域。在由此得到的无收缩轨迹上，$1S$粲偶素和底偶素态的解离温度随各向异性增加而升高。由完整复特征值得到的宽度与基于虚势的一阶估计存在显著差异，而相应的$1S$本征函数仍以其主导的$S$波分量为主。我们将热宽度与现有的格点QCD结果进行比较，并利用它们来展示静态存活概率。
英文摘要
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.
发表机构
- School of Physical Sciences, National Institute of Science Education and Research, An OCC of Homi Bhabha National Institute（物理科学学院，国家科学教育与研究中心，霍米·巴巴国立学院）
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