论文标题

$ a_1 $(1260)轴向矢量梅森的分子性质

Molecular nature of the $a_1$(1260) axial-vector meson

论文作者

Clymton, Samson, Kim, Hyun-Chul

论文摘要

我们根据$πρ$和$ k \ bar {k}^*$($ \ bar {k} k^*$)频道研究了基于耦合通道形式主义的$πρ$散射。我们通过使用Meson-Exchange模型来构建内核振幅,并计算$πρ$散射的耦合积分方程。通过执行部分波的扩展,我们明确表明$ A_1(1260)$ MESON是由耦合通道形式主义动态生成的。 $ a_1 $ meson仅通过包括$ k \ bar {k}^*$($ \ bar {k} k^*$)频道而出现。我们获得$ a_1 $梅森的极点,作为$ \ sqrt {s_r} =(1170.7 -i 173.0)$ mev。我们得出的结论是,$ a_1 $梅森可以解释为kaon和矢量kaon分子状态。

We investigate $πρ$ scattering based on the coupled-channel formalism with the $πρ$ and $K\bar{K}^*$ ($\bar{K}K^*$) channels included. We construct the kernel amplitudes by using the meson-exchange model and compute the coupled integral equation for $πρ$ scattering. By performing the partial-wave expansion, we show explicitly that the $a_1(1260)$ meson is dynamically generated by the coupled-channel formalism. The $a_1$ meson only appears by including the $K\bar{K}^*$ ($\bar{K}K^*$) channel. We obtain the pole position of the $a_1$ meson as $\sqrt{s_R} = (1170.7 - i 173.0)$ MeV. We conclude that the $a_1$ meson can be interpreted as a kaon and vector kaon molecular state.

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