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We study the possible heavy molecular states composed of a pair of charmmesons in the H and S doublets. Since the P-wave charm-strange mesons$D_{s0}(2317)$ and $D_{s1}(2460)$ are extremely narrow, the future experimentalobservation of the possible heavy molecular states composed of $D_s/D_s^\ast$and $D_{s0}(2317)/D_{s1}(2460)$ may be feasible if they really exist.Especially the possible $J^{PC}=1^{--}$ states may be searched for via theinitial state radiation technique.

The molecular systems composed of the charmed mesons in the $H\bar{S}+h.c.$ doublet