从三维Breit标架力分布看核子内部在光阵面上的力:Abel层析成像情况
Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
摘要:
我们推导出简单的关系,表示二维轻前线力分布的三维Breit帧压力和剪切力分布。在数学上,这些关系对应于可逆Abel变换,并且它们建立了3D Breit框架力分布和2D光阵面力分布的一对一数学等价性。任何知识(模型计算、实验测量等)利用Abel变换,可以将Breit标架中的压力和剪力分布明确地转化为轻的前力分布。重要的是,如果满足3D稳定性条件,则变换确保2D稳定性条件。为了说明这种关系是如何工作的,我们计算了作为液滴的大核和作为手征孤子的大$N_c$核子的光锋力分布。
英文摘要:
We derive simple relations which express 2D light front force distributions in terms of 3D Breit frame pressure and shear force distributions. Mathematically the relations correspond to invertible Abel transformation and they establish one-to-one mathematical equivalence of 3D Breit frame force distributions and 2D light front ones. Any knowledge (model calculation, experimental measurement, etc.) about pressure and shear force distributions in Breit frame can be unambiguously transformed into light front force distributions with the help of Abel transformation. It is important that the transformation ensures 2D stability conditions if the 3D stability conditions are satisfied. As an illustration of how the relations work, we calculated the light front force distributions for a large nucleus as a liquid drop, and for large $N_c$ nucleon as a chiral soliton.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。