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The non-adiabatic quantum dynamics of the H+H$_2^+$ $\rightarrow$ H$_2$+H$^+$ charge transfer reactions, and some isotopic variants, is studied with anaccurate wave packet method. A recently developed $3\times$3 diabatic potentialmodel is used, which is based on very accurate {\it ab initio} calculations andincludes the long-range interactions for ground and excited states. It is foundthat for initial H$_2^+$(v=0), the quasi-degenerate H$_2$(v'=4) non-reactivecharge transfer product is enhanced, producing an increase of the reactionprobability and cross section. It becomes the dominant channel from collisionenergies above 0.2 eV, producing a ratio, between v'=4 and the rest of v's,that increases up to 1 eV. H+H$_2^+$ $\rightarrow$ H$_2^+$+ H exchange reactionchannel is nearly negligible, while the reactive and non-reactive chargetransfer reaction channels are of the same order, except that corresponding toH$_2$(v'=4), and the two charge transfer processes compete below 0.2 eV. Thisenhancement is expected to play an important vibrational and isotopic effectthat need to be evaluated. For the three proton case, the problem of thepermutation symmetry is discussed when using reactant Jacobi coordinates.

Near-resonant effects in the quantum dynamics of the H+H$_2^+$ $\rightarrow$ H$_2$+ H$^+$ charge transfer reaction and isotopic variants