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arXiv 0708.3759hep-ph
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手征夸克模型中的Roper共振

Roper resonances in chiral quark models

Bojan Golli, Simon Sirca

摘要:

我们推导出一种方法来计算多通道K矩阵适用于广泛的一类模型,其中介子线性耦合到夸克的核心。用该方法计算了P11和P33低共振能区的π散射振幅。如果除了弹性通道外,我们还包括$πΔ$和$σN$($σΔ$)通道,其中$σ$介子模拟相关的2 π衰变,则与实验数据吻合得很好。我们在可分核近似下求解K矩阵的积分方程,与裸夸克值相比,它产生了$Δ(1232)$和N(1440)共振的宽度的相当大的增加。

英文摘要:

We derive a method to calculate the multi-channel K matrix applicable to a broad class of models in which mesons linearly couple to the quark core. The method is used to calculate pion scattering amplitudes in the energy region of low-lying P11 and P33 resonances. A good agreement with experimental data is achieved if in addition to the elastic channel we include the $πΔ$ and $σN$ ($σΔ$) channels where the $σ$-meson models the correlated two-pion decay. We solve the integral equation for the K matrix in the approximation of separable kernels; it yields a sizable increase of the widths of the $Δ(1232)$ and the N(1440) resonances compared to the bare quark values.

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