$Z^+(4430)$ as a $D_1'{D}^* $ ($D_1{D}^* $) molecular state

Details $Z^+(4430)$ as a $D_1'{D}^* $ ($D_1{D}^* $) molecular state $Z^+(4430)$ as a $D_1'{D}^* $ ($D_1{D}^* $) molecular state

2008-03-09

arxiv.org/abs/0803.1295v2

Phys.Rev.D77:094015,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 7 tables, 7 figures

Scientific paper

10.1103/PhysRevD.77.094015

We reexamine whether $Z^+(4430)$ could be a $D_1'-{D}^*$ or $D_1-{D}^*$ molecular state after considering both the pion and $\sigma$ meson exchange potentials and introducing the form factor to take into account the structure effect of the interaction vertex. Our numerical analysis with Matlab package MATSLISE indicates the contribution from the sigma meson exchange is small for the $D_1'-{D}^*$ system and significant for the $D_1-{D}^*$ system. The S-wave $D_1-\bar{D}^*$ molecular state with only $J^{P}=0^-$ and $D_1'-{D}^*$ molecular states with $J^P=0^-,1^-,2^-$ may exist with reasonable parameters. One should investigate whether the broad width of $D_1'$ disfavors the possible formation of molecular states in the future. The bottom analog $Z_B$ of $Z^+(4430)$ has a larger binding energy, which may be searched at Tevatron and LHC. Experimental measurement of the quantum number of $Z^+(4430)$ may help uncover its underlying structure.

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