标题： 强磁场下的重夸克onia结构 显示英文标题

标题： Structure of heavy quarkonia under strong magnetic field

摘要： 我们使用一个组成夸克模型，研究强磁场存在下重夸克介子的结构变化。 通过引入自旋混合和夸克兰道能级的影响，我们采用了一个非相对论哈密顿量，该哈密顿量捕捉了磁场中夸克动力学的基本特征。 使用圆柱高斯展开方法求解两体薛定谔方程，该方法尊重由磁场引起的圆柱对称性。 我们提取相应的轻子前波函数（LFWF）密度，并分析其横向和纵向结构，揭示了如横向动量扩展等特征特性。 虽然在非相对论哈密顿量下纵向结构仅受到轻微影响，但我们讨论了一些可能显著影响其纵向结构的修正。 此外，我们讨论了激发态的结构变化，并发现LFWF密度有显著变化，以及在避免交叉附近的状态重新排列。 这些结果展示了强子结构对外部磁场的敏感性，并有助于将我们的理解与相对论方法联系起来。 显示英文摘要

摘要： We investigate the structural modifications of heavy quarkonia in the presence of strong magnetic fields using a constituent quark model. By incorporating the effects of spin mixing and quark Landau levels, we employ a nonrelativistic Hamiltonian that captures the essential features of quark dynamics in a magnetic field. The two-body Schr\"odinger equation is solved using the cylindrical Gaussian expansion method, which respects the cylindrical symmetry induced by a magnetic field. We extract the corresponding light-front wave function (LFWF) densities and analyze their transverse and longitudinal structures, revealing characteristic features such as transverse momentum broadening. While the longitudinal structure is only slightly modified within the nonrelativistic Hamiltonian, we discuss some corrections that can significantly affect its longitudinal structure. Furthermore, we discuss the structure modifications of excited states and find notable changes in the LFWF densities, and state reshuffling near avoided crossings. These results demonstrate the sensitivity of hadron structure to external magnetic fields and help bridge our understanding to relativistic approaches.