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arXiv 1107.5489hep-ph
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作为三体共振的赝张量介子

Pseudotensor mesons as three-body resonances

L. Roca

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10 pages
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摘要：

我们证明了最轻的赝张量介子J^{PC}=2^-+可以看作是由一个赝标量（P）0^-+和一个张量2^++介子组成的分子，而后者本身是由两个矢量（V）介子组成的。这个想法源于这样一个事实，S波和自旋2中的矢量-矢量相互作用非常强，以至于产生了2^++张量介子。另一方面，赝标与矢量介子在s波中的相互作用也很强，它动态地产生最轻的轴矢量介子。因此，我们期望PVV相互作用是强吸引力的，从而能够建立准束缚PVV共振。我们用固定中心近似法计算了三体PVV相互作用的Faddeev方程，其中两个矢量聚集形成一个张量介子。我们发现了清晰的共振结构，这些共振结构可以与π_2（1670）、η_2（1645）和K^*_2（1770）（2^-+）赝张量介子相鉴别。

英文摘要：

We show that the lightest pseudotensor mesons J^{PC}=2^-+ can be regarded as molecules made of a pseudoscalar (P) 0^-+ and a tensor 2^++ meson, where the latter is itself made of two vector (V) mesons. The idea stems from the fact that the vector-vector interaction in s-wave and spin 2 is very strong, to the point of generating the 2^++ tensor mesons. On the other hand the interaction of a pseudoscalar with a vector meson in s-wave is also very strong and it generates dynamically the lightest axial-vector mesons. Therefore we expect the PVV interaction to be strongly attractive and thus able to build up quasibound PVV resonances. We calculate the three body PVV interaction by using the fixed center approximation to the Faddeev equations where the two vectors are clustered forming a tensor meson. We find clear resonant structures which can be identified with the pi_2(1670), eta_2(1645) and K^*_2(1770) (2^-+) pseudotensor mesons.

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