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arXiv 0803.2276hep-ph
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SU(3)手征夸克孤子模型中$N K^*\toΘ^+ $和$N \bar{K}^*\to Σ_{\bar{10}}^{*-}$的矢量跃迁形状因子

Vector transition form factors of the $N K^*\toΘ^+ $ and $N \bar{K}^*\to Σ_{\bar{10}}^{*-}$ in the SU(3) chiral quark-soliton model

Tim Ledwig, Hyun-Chul Kim, Klaus Goeke

摘要:

本文在SU(3)手征夸克孤子模型的框架下研究了核子和矢量介子K^* 到五夸克重子Theta^+的矢量跃迁形状因子。我们考虑了转动1/N_c和线性$m_{\rm s}$修正,假设了同位旋对称性,并采用量子化守恒.结果表明,超前阶对形状因子的贡献几乎被旋转校正所抵消。正因为如此,味SU(3)破缺项对矢量跃迁形状因子产生相当大的影响。特别地,类电跃迁形状因子的主要贡献来自波函数修正,这是本工作中导出的广义Ademollo-Gatto定理的结果。借助矢量介子优势,我们估算了θ ^+的K^* 矢量和张量耦合常数:$g_{K^{*}NΘ}=0.74 - 0.87$和$f_{K^{*}NΘ}=0.53 - 1.16$。我们认为,目前的工作结果是一致的CLAS实验中的反应gamma n -> K^- Theta^+和gamma p ->bar{K}^0 Theta^+的无效结果。本工作的结果也与KEK最近的实验相一致。此外,我们还计算了$Σ_{\bar{10}}\to N\bar{K}^*$跃迁的形状因子和$\bar{K}^*NΣ_{\bar{10}}$、耦合常数。

英文摘要:

We investigate the vector transition form factors of the nucleon and vector meson K^* to the pentaquark baryon Theta^+ within the framework of the SU(3) chiral quark-soliton model. We take into account the rotational 1/N_c and linear $m_{\rm s}$ corrections, assuming isospin symmetry and employing the symmetry-conserving quantization. It turns out that the leading-order contributions to the form factors are almost cancelled by the rotational corrections. Because of this, the flavor SU(3) symmetry-breaking terms yield sizeable effects on the vector transition form factors. In particular, the main contribution to the electric-like transition form factor comes from the wave-function corrections, which is a consequence of the generalized Ademollo-Gatto theorem derived in the present work. We estimate with the help of the vector meson dominance the K^* vector and tensor coupling constants for the Theta^+: $g_{K^{*}NΘ}=0.74 - 0.87$ and $f_{K^{*}NΘ}=0.53 - 1.16$. We argue that the outcome of the present work is consistent with the null results of the CLAS experiments in the reactions gamma n -> K^- Theta^+ and gamma p ->bar{K}^0 Theta^+. The results of the present work are also consistent with the recent experiments at KEK. In addition, we present the results of the $Σ_{\bar{10}}\to N\bar{K}^*$ transition form factors and its $\bar{K}^*NΣ_{\bar{10}}$ coupling constants.

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