粲偶素的应力分布
Stress out of charmonia
AI总结:
本研究采用基矢光前量子化方法,通过对角化含全息QCD禁闭与单胶子交换的有效哈密顿量得到粲偶素性质,提出量子多体方法构造能量动量张量矩阵元以提取引力形状因子,验证其满足约束并发现强子为多层系统。
摘要:
我们研究了粲偶素的引力形状因子。我们的方法基于光前的哈密顿形式,即基矢光前量子化(basis light-front quantization)方法。粲偶素的质量谱和光前波函数是通过对角化一个有效哈密顿量得到的,该哈密顿量包含了来自全息QCD的禁闭作用和来自光前QCD的单胶子交换相互作用。我们提出了一种量子多体方法来构造能量动量张量$T^{++}$和$T^{+-}$的强子矩阵元,用于提取引力形状因子$A(Q^2)$和$D(Q^2)$。所得形状因子满足已知的约束条件,例如冯·劳厄(von Laue)条件。从这些物理量中,我们还提取了系统的能量、压强和光前能量分布,发现强子是多层结构系统。
英文摘要:
We investigate the gravitational form factors of charmonium. Our method is based on a Hamiltonian formalism on the light front known as basis light-front quantization. The charmonium mass spectrum and light-front wave functions were obtained from diagonalizing an effective Hamiltonian that incorporates confinement from holographic QCD and one-gluon exchange interaction from light-front QCD. We proposed a quantum many-body approach to construct the hadronic matrix elements of the energy momentum tensor $T^{++}$ and $T^{+-}$, which are used to extract the gravitational form factors $A(Q^2)$ and $D(Q^2)$. The obtained form factors satisfy the known constraints, e.g. von Laue condition. From these quantities, we also extract the energy, pressure and light-front energy distributions of the system. We find that hadrons are multi-layer systems.
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