论文标题
$ n \rightarrowδ$的重力过渡形式通过QCD轻锥总和规则
Gravitational transition form factors of $N \rightarrow Δ$ via QCD light-cone sum rules
论文作者
论文摘要
我们使用分析方法(QCD Light-CONE SUM规则)介绍了$ n \rightarrowδ$转换的重力形式(GFF)的第一个直接计算。能量动量张量张量电流的夸克部分的矩阵元素夹在核子和$δ$状态之间的夹具,以五个独立保守和四个独立的非保守的GFF进行参数化,以计算我们使用这些分布振幅(DAS)的分布振幅(DAS),该分布核核的分布量(DAS)与不同的TWIST一起扩展。我们介绍了两组轻度输入参数的结果。结果表明,相对于$ q^2 $的形式因素的行为由多极拟合函数描述。我们的结果可能会由其他现象学模型(包括晶格QCD以及未来相关的实验)检查。
We present the first direct calculation on the gravitational form factors (GFFs) of the $N \rightarrow Δ$ transition using an analytic method, the QCD light-cone sum rules. The matrix element of the quark part of the energy momentum tensor current sandwiched between the nucleon and $Δ$ states are parameterized in terms of five independent conserved and four independent non-conserved GFFs, for calculation of which we use the distribution amplitudes (DAs) of the on-shell nucleon expanded in terms of functions with different twists. We present the results for two sets of light-cone input parameters. The results indicate that the behavior of the form factors with respect to $Q^2$ are described by multipole fit functions. Our results may be checked by other phenomenological models including the Lattice QCD as well as future related experiments.