8 the GES to the IS is not direct but this occurs through the intermediate states (ONIS) with a considerable DE that results in the internuclear distribution of the ioniza- tion moves considerably to larger internuclear distances. Therefore, an R-dependent displacement between the IS, ONIS, and the GES structures are observed. After $_{∼}$8 cycles of the laser pulse, the laser field is still strong enough and also the population of the TNIS is still significant. The TNIS (i.e. GES plus ONIS) con- tinues outgoing through the DIC (Fig. 4) and reaches a large critical internuclear distance (Fig. 4 , Fig. 6 ,and Fig. 7 (d)) at which the ionization rate is dramatically enhanced [15, 20–22]. Therefore, D + 2 is ionized consider- ably but mainly through the low-energy band of the KER spectrum (Fig. 3). During 8 to 12.5 cycles, a considerable population of D + 2 , before reaching to the larger critical internuclear distances, is ionized and also the laser field becomes weak (Fig. 1,4, and 5). Therefore, after this We have benefited from valuable and stimulating dis- cussions with Prof. H. Sabzyan, Dr. A. Shayesteh. We also thank Dr. I. V. Litvinyuk for the experimental data and his invaluable comments. We wish to acknowledge to thank the Shahid Beheshti University for the financial supports and research facilities and Isfahan High Perfor- mance Computing Center (IHPCC) and also Computa- tional Nanotechnology Supercomputing Centre, Institute for Research in fundamental Sciences (IPM), P.O.Box 19395-5531, Tehran, Iran. time interval, the ionization channel for the negligible residual population of D + 2 becomes nearly closed and the remaining D + 2 ions will dissociate at longer times. Acknowledgments [1] F. Grossmann, Theoretical Femtosecond Physics: Atoms and Molecules in Strong Laser Fields (Springer-Verlag, 2008); J. H. Posthumus, Rep. Prog. Phys, 67 623 (2004); A. Giusti-Suzor, F. H. Mies, L. F. DiMauro, E. Charron and B. Yang, J. Phys. B, 28 , 309 (1995). [2] A. S. Alnaser et al, Phys. Rev. Lett. 93 , 183202 (2004); [3] I. V. Litvinyuk and A. S. Alnaser and D. Comtois and D. Ray and A. T. Hasan and J-C kieffer and D. M. Vil- leneuve, New J. Phys., 10 , 083011 (2008). [4] D. Pavicic, A. Kiess, T. W. H¨ ansch and H. Figger, Phys. Rev. Lett. 94 , 163002 (2005). [5] Th. Ergler, A. Rudenko, B. Feuerstein, K. Zrost, C. D. Schr¨ oter, R. Moshammer, and J. Ullrich Phys. Rev. Lett. 95 , 093001 (2005). [6] A. Rudenko, V. L. B. de Jesus, Th. Ergler, K. Zrost, B. Feuerstein, C. D. Schr¨ oter, R. Moshammer, and J. Ullrich, Phys. Rev. Lett. 99 , 263003 (2007). [7] A. Staudte, D. Pavicic, S. Chelkowski, D. Zeidler, M. Meckel, H. Niikura, M. Sch¨ offler, S. Sch¨ ossler, B. Ulrich, P. P. Rajeev, Th. Weber, T. Jahnke, D. M. Villeneuve, A. D. Bandrauk, C. L. Cocke, P. B. Corkum, and R. Drner, Phys. Rev. Lett. 98 , 073003 (2007). [8] S. Chelkowski, A. D. Bandrauk, A. Staudte and P. B. Corkum, Phys. Rev. A 76 , 013405 (2007). [9] M. Vafaee, Phys. Rev. A 78 , 023410 (2008). [10] S. X. Hu and L. A. Collins and B. I. Schneider, Phys. Rev. A 80 , 023426 (2009). [11] Q. Su and J. H. Eberly, Phys. Rev. A 44 , 5997 (1991). [12] S. Saugout, E. Charron and C. Cornaggia, Phys. Rev. A 77 , 023404 (2008); [13] Hiskes J. R., Phys. Rev. 122 , 1207 (1961). [14] A. D. Bandrauk and H. Z. Lu, Phys. Rev. A 62 , 053406 (2000). [15] M. Vafaee and H. Sabzyan, J. Phys. B 37 , 4143 (2004). [16] B. Forenberg, A Practical Guide to Pseudospectral Meth- ods (Cambridge University Press, 1996); C. Pozrikidis, Numerical Computations in Science and Engineering (Oxford: Oxford Univ., 1998); A. D. Bandrauk and H. Shen, J. Chem. Phys. 99 , 1185 (1993). [17] M. Vafaee, H. Sabzyan, Z. Vafaee and A. Katanforoush, http://arxiv.org/abs/physics/0509072 [18] B. Feuerstein and U. Thumm, J. Phys. B 36 , 707 (2003). [19] S. Chelkowski, P.B. Corkum and A.D. Bandrauk, Phys. Rev. Lett. 82 , 3416 (1999). [20] L.-Y. Peng, D. Dundas, J. F. McCann, K. T. Taylor and I. D. Williams, J. Phys. B 36 , L295 (2003). [21] T. Zuo and A. D. Bandrauk, Phys. Rev. A 52 , R2511 (1995). [22] H. Sabzyan and M. Vafaee, Phys. Rev. A 71 , 063404 (2005). [23] S. Chelkowski, P.B. Corkum and A.D. Bandrauk, Phys. Rev. Lett. 82 , 3416 (1999), S. Chelkowski and A.D. Ban- drauk, Phys. Rev. A, 65 , 023403 (2002), C.R. Courtney and L.J. Frasinski, Phys. Lett. A 318 , 30 (2003).