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arXiv 1107.2838hep-phhep-lat
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基态$\mathbf{J^P=(3/2)}^{+}$重子十重态的磁矩

Magnetic moments of the ground-state $\mathbf{J^P=(3/2)}^{+}$ baryon decuplet

Milton Dean Slaughter

备注：
9 pages including 1 figure and 1 table. Corrected typos in Eqs.(7) and (8). Results and conclusions unchanged. arXiv admin note: repeats content from arXiv:1105.3786 and arXiv:0911.4756
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摘要：

基态$J^{P}=(3/2)^{+}$重子十重态磁矩的磁矩是电荷形状因子$F_{1}(q^{2})$和磁偶极子形状因子$F_{2}(q^{2})$在零四动量转移$q^{2}$时的函数，人们已经研究了很多年，但成功有限。目前，只有$Ω^{-}$的磁矩已经被精确测定。我们计算非微扰的磁矩的\emph{physical baryon decuplet $J^{P}=(3/2)^{+}$}成员，特别是，我们获得$μ_{Δ^{++}}= (+3.67 \pm 0.07) μ_{N}$，$μ_{Δ^{+}}= (+1.83 \pm 0.04) μ_{N}$，$μ_{Δ^{0}}= (0) μ_{N}$，和磁矩的$U$自旋合作伙伴的$Ω^{-}$磁矩数据。

英文摘要：

The magnetic moment - a function of the electric charge form factor $F_{1}(q^{2})$ and the magnetic dipole form factor $F_{2}(q^{2})$ at zero four-momentum transfer $q^{2}$-of the ground-state $J^{P}=(3/2)^{+}$ baryon decuplet magnetic moments have been studied for many years with limited success. At present, only the magnetic moment of the $Ω^{-}$ has been accurately determined. We calculate nonperturbatively the magnetic moments of the \emph{physical baryon decuplet $J^{P}=(3/2)^{+}$} members and in particular, we obtain $μ_{Δ^{++}}= (+3.67 \pm 0.07) μ_{N}$, $μ_{Δ^{+}}= (+1.83 \pm 0.04) μ_{N}$, $μ_{Δ^{0}}= (0) μ_{N}$, and the magnetic moments of their $U$-Spin partners in terms of $Ω^{-}$ magnetic moment data.

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