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arXiv · 0908.1734

A chiral quark model study of $Z^+(4430)$ in the molecular picture

Yan-Rui Liu·Zong-Ye Zhang
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Abstract

We investigated the bound state problem of the S wave charged $D_1 \bar{D}^*$ ($D_1' \bar{D}^*$) system in a chiral quark model by solving the resonating group method equation. Our preliminary study does not favor the molecular assumption of $Z^+(4430)$. On the contrary, if $Z^+(4430)$ is really a molecule, its partner with opposite $G$-parity should also exist and probably may be found in the $π^+η_c(2S)$, $J/ψπ^+π^0$, or $ψ'π^+π^0$ channel. For the bottom systems, we found the existence of both $I^G$=$1^+$ and $I^G$=$1^-$ $B_1 \bar{B}^*$ ($B_1' \bar{B}^*$) molecules is possible.

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Yan-Rui Liu, Zong-Ye Zhang. 2009-08-12. A chiral quark model study of $Z^+(4430)$ in the molecular picture. https://arxiv.org/abs/0908.1734

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