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arXiv 1806.09348nucl-thhep-ph
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势模型中的重夸克偶素：Binding Energy、衰变宽度和存活概率

Heavy Quarkonia in a Potential Model: Binding Energy, Decay Width, and Survival Probability

P. K. Srivastava, O. S. K. Chaturvedi, Lata Thakur

备注：
26 page, 25 Figures, 1 Table
发表信息：
Eur. Phys. J. C (2018) 78: 440
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摘要：

近年来，QCD介质中重夸克势的推导取得了很大进展。本文研究了热夸克-胶子等离子体相中的重夸克偶素。重夸克势已被正确地模拟为短距离和长距离。在长距离的潜力被建模为一个QCD字符串，它是在相同的规模筛选的Coloumb场。数值求解了1+1维薛定谔方程，得到了粲偶素和底偶素的$1S$和$2S$态的本征波函数和结合能.此外，我们还计算了QCD等离子体中夸克偶素态的衰变宽度和离解温度。最后，我们已经使用我们最近提出的统一模型与这些新的值的衰变宽度计算的各种夸克偶素状态的生存概率相对于中心在相对论重离子对撞机（RHIC）和大型强子对撞机（LHC）的能量。本研究提供了一个统一的，一致的和全面的描述，在有限温度下的各种夸克偶素态的光谱特性，以及它们在不同碰撞能量下的核修改因子。

英文摘要：

Recently a lot of progress has been made in deriving the heavy quark potential within a QCD medium. In this article we have considered heavy quarkonium in a hot quark gluon plasma phase. The heavy-quark potential has been modeled properly for short as well as long distances. The potential at long distances is modeled as a QCD string which is screened at the same scale as the Coloumb field. We have numerically solved the 1+1-dimensional Schrodinger equation for this potential and obtained the eigen wavefunction and binding energy for the $1S$ and $2S$ states of charmonium and bottomonium. Further, we have calculated the decay width and dissociation temperature of quarkonium states in the QCD plasma. Finally, we have used our recently proposed unified model with these new values of decay widths to calculate the survival probability of the various quarkonium states with respect to centrality at relativistic heavy ion collider (RHIC) and large hadron collider (LHC) energies. This study provides a unified, consistent and comprehensive description of spectroscopic properties of various quarkonium states at finite temperatures along with their nuclear modification factor at different collision energies.

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