论文标题
$ω^ - $ baryon的电磁形式在间距和及时区域中
Electromagnetic form factors of the $Ω^-$ baryon in the spacelike and timelike regions
论文作者
论文摘要
我们介绍了$ω^ - $在间距区域和及时区域的$ω^ - $的电磁形式的完整计算。 The four elastic form factors: electric charge ($G_{E0}$), magnetic dipole ($G_{M1}$), electric quadrupole ($G_{E2}$) and magnetic octupole ($G_{M3}$), are estimated within the covariant spectator quark model, in terms of the square momentum transfer $q^2$. $ω^ - $ WAVE功能的免费参数，包括$ s $ - 波状态和两个独立的$ d $ - 波径向径向波函数和混合系数，通过与Spacelike区域中的晶格QCD数据进行比较（$ q^2 = -Q^2 \ le 0 $），以及最近的$ e^$ e^+ e^+ e^+ e^+ e^+ e^+ e^ - ^ - ^ - 及时区域（$ q^2> 0 $）。方向动量转移$ q^2 \ ge 4m_Ω^2 $的估计值基于大 - $ q^2 $渐近关系（$m_Ω$是$ω^ - $质量）。我们还研究了不同形式因素之间的大$ q^2 $相关性的影响，并分析了可能的解决方案。 $ω^ - $的电二极管和磁性八极矩，以及$ e^+ e^ - \ toω^ - \ barω^+ $集成的非常大的$ q^2 $的集成横截面。
We present complete calculations of the electromagnetic form factors of the $Ω^-$ in the spacelike region and in the timelike region. The four elastic form factors: electric charge ($G_{E0}$), magnetic dipole ($G_{M1}$), electric quadrupole ($G_{E2}$) and magnetic octupole ($G_{M3}$), are estimated within the covariant spectator quark model, in terms of the square momentum transfer $q^2$. The free parameters of the $Ω^-$ wave function, including a $S$-wave state and two independent $D$-wave states radial wave functions and the admixture coefficients are fixed by the comparison with the lattice QCD data in the spacelike region ($Q^2=-q^2 \le 0$) and with the recent $e^+ e^- \to Ω^- \bar Ω^+$ data from CLEO in the timelike region ($q^2 > 0$). The estimates in the timelike region for square momentum transfer $q^2 \ge 4 M_Ω^2$ are based on large-$q^2$ asymptotic relations ($M_Ω$ is the $Ω^-$ mass). We examine also the impact of the large-$Q^2$ correlations between different form factors and analyze the possible solutions. The electric quadrupole and the magnetic octupole moments of the $Ω^-$, and the $e^+ e^- \to Ω^- \bar Ω^+$ integrated cross sections for very large $q^2$ are estimated based on the model results.
