We extend the inhomogenoushyphen;differentialhyphen;equation (IDE) approach of Dalgarno and Lewis for a detailed study of twohyphen;photon dissociation (TPD) of HD+from high vibrational levels of the 1ssgr;gelectronic state. Contrary to the H+2case, where the TPD cross sections sgr;(2)Lare largest near TPD thresholds and decrease monotonically with increasing photon energy, the HD+cross sections are characterized by rich resonant and interference structures. We present sgr;(2)Lresults for TPD from the initialvi=6, 8, 10, 12, 14, 16, andji=0 levels as well as fromvi=14,ji=0, 2, 4 levels for a wide range of wavelengths of linearly polarized radiation accessible by CO2and CO lasers. It is found that while there are four TPD pathways, the channel 1ssgr;g(vithinsp;ji)rarr;ohgr; 1ssgr;g(v,thinsp;j=jiplusmn;1) rarr;ohgr;2psgr;u(k,thinsp;jthinsp;f=jplusmn;1) dominates the twohyphen;photon process in most of the cases we have studied. Further, the results show that sgr;(2)Lincreases rather rapidly as the initial vibrational quantum numberviincreases, indicating that the hereronuclear diatomic molecules in high vibrational levels can be efficiently twohyphen;photon dissociated by IR lasers. Consequently molecular structures near the dissociation limit may be conveniently probed by twohyphen;photon spectroscopymdash;as has indeed been demonstrated recently by experiments. Our sgr;(2)Lresults thus provide complementary information to the HD+spectroscopic data obtained recently by Carringtonetal.
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