arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0812.4456hep-lat
收藏

奇异重子电磁形状因子与SU(3)味对称破缺

Strange Baryon Electromagnetic Form Factors and SU(3) Flavor Symmetry Breaking

Huey-Wen Lin, Kostas Orginos

摘要:

本文从2+1味格点计算出发,研究了核子、σ和级联八重态重子电磁形状因子以及SU(3)味对称性破缺的影响。我们发现电半径和磁半径是相似的,最大差异约为10%。在我们研究的介子质量区,夸克分量矩和全重子矩都有小的SU(3)对称破缺。我们利用三味重子手征微扰理论(HBXPT)外推电荷半径和磁矩。由于手性和连续外推的系统误差仍然很大,导致$p$和$Σ^-$的电荷半径与已知的实验值相差3- 4个标准偏差。在这些系统中,预测的$Σ^+$和$Ξ^-$半径分别为0.67(5)和0.306(15)fm $^2$。当包含HBXPT的次-前导级时,外推的磁矩与PDG值的偏差小于3个标准差,这种差异可能是由于剩余的手征和连续统外推误差。

英文摘要:

We study the nucleon, Sigma and cascade octet baryon electromagnetic form factors and the effects of SU(3) flavor symmetry breaking from 2+1-flavor lattice calculations. We find that electric and magnetic radii are similar; the maximum discrepancy is about 10%. In the pion-mass region we explore, both the quark-component and full-baryon moments have small SU(3) symmetry breaking. We extrapolate the charge radii and the magnetic moments using three-flavor heavy-baryon chiral perturbation theory (HBXPT). The systematic errors due to chiral and continuum extrapolations remain significant, giving rise to charge radii for $p$ and $Σ^-$ that are 3--4 standard deviations away from the known experimental ones. Within these systematics the predicted $Σ^+$ and $Ξ^-$ radii are 0.67(5) and 0.306(15) fm$^2$ respectively. When the next-to-next-to-leading order of HBXPT is included, the extrapolated magnetic moments are less than 3 standard deviations away from PDG values, and the discrepancy is possibly due to remaining chiral and continuum extrapolation errors.

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。

↑