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We present a theoretical quasiclassical study of the formation, duringCoulomb explosion, of two highly excited neutral H atoms (double H$^{*}$) ofstrongly driven H$_2$. In this process, after the laser field is turned offeach electron occupies a Rydberg state of an H atom. We show that two-electroneffects are important in order to correctly account for double H$^{*}$formation. We find that the route to forming two H$^{*}$ atoms is similar topathway B that was identified in Phys. Rev. A {\bf 85} 011402 (R) as one of thetwo routes leading to single H$^{*}$ formation. However, instead of oneionization step being "frustrated" as is the case for pathway B, bothionization steps are "frustrated" in double H$^{*}$ formation. Moreover, wecompute the screened nuclear charge that drives the explosion of the nucleiduring double H$^{*}$ formation.

Multiple electron trapping in the fragmentation of strongly driven molecules