强磁场作用下的钟形夸克偶素
Cigar-shaped quarkonia under strong magnetic field
摘要：
本文用组分夸克势模型分析了均匀磁场中的重夸克偶素。为了获得各向异性波函数和相应的本征值，应用柱高斯展开方法，其中各向异性波函数在柱坐标中通过高斯基展开。本文研究了大范围外磁场作用下$S$波重夸克偶素（$η_c$，$J/ψ$，$η_c(2S)$，$ψ(2S)$和底夸克偶素）的波函数变形和质量移动.当相邻的能级彼此交叉时，波函数的空间结构发生急剧变化。讨论了在重离子碰撞实验和未来的格点量子色动力学模拟中可能出现的观测值。
英文摘要：
Heavy quarkonia in a homogeneous magnetic field are analyzed by using a potential model with constituent quarks. To obtain anisotropic wave functions and corresponding eigenvalues, the cylindrical Gaussian expansion method is applied, where the anisotropic wave functions are expanded by a Gaussian basis in the cylindrical coordinates. Deformation of the wave functions and the mass shifts of the $S$-wave heavy quarkonia ($η_c$, $J/ψ$, $η_c(2S)$, $ψ(2S)$ and bottomonia) are examined for the wide range of external magnetic field. The spatial structure of the wave functions changes drastically as adjacent energy levels cross each other. Possible observables in heavy-ion collision experiments and future lattice QCD simulations are also discussed.
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