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arXiv 2408.09535hep-phhep-thnucl-th
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剖析强耦合标量核子

Dissecting a strongly coupled scalar nucleon

Xianghui Cao, Yang Li, James P. Vary

AI总结:

本文在光前哈密顿量形式下非微扰求解标量Yukawa模型,利用好流提取无污染且无未抵消紫外发散的完整引力形状因子,从而将强耦合标量核子的质量分解为核子与π介子组分贡献,并计算物质半径和力学半径。

摘要:

我们继续研究强耦合标量核子内部的应力,并现在将引力形状因子分解为其组分——(模拟)核子和(模拟)π介子——的贡献。该计算基于标量Yukawa模型在光前哈密顿量形式中的非微扰解,并采用Fock扇区展开,包含至多一个核子和两个π介子。通过使用“好流”$T^{++}_i$、$T^{+-}_i$和$T^{12}_i$,我们提取了完整的引力形状因子集合$A_i$、$D_i$、$\ar c_i$,没有伪形状因子的污染,也没有未抵消的紫外发散。利用这些结果,我们将系统的质量分解为其组分的贡献,并计算了物质半径和力学半径,从而深入理解这一强耦合系统。

英文摘要:

We continue our investigation of the stress within a strongly coupled scalar nucleon, and now dissect the gravitational form factors into contributions from its constituents, the (mock) nucleon and the (mock) pion. The computation is based on a non-perturbative solution of the scalar Yukawa model in the light-front Hamiltonian formalism with a Fock sector expansion including up to one nucleon and two pions. By employing the ``good currents" $T^{++}_i$, $T^{+-}_i$ and $T^{12}_i$, we extract the full set of gravitational form factors $A_i$, $D_i$, $\bar c_i$ without the contamination of the spurious form factors, and free of uncanceled UV divergences. With these results, we decompose the mass of the system into its constituents and compute the matter and mechanical radii, gaining insights into the strongly coupled system.

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。

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