We use a L2-discretization technique for solving the time-dependent Schr¨odinger equation for H+ 2 interacting with a short vuv laser pulse, in the Born-Oppenheimer approximation. The calculations include the electronic three-dimensional and vibrational one-dimensional motions. In this approach, we use the prolate spheroidal coordinate system to describe the electronic functions and a basis of Laguerre and Legendre functions [Phys. Rev. A 71, 053407 (2005)]. The vibrational motion is treated by using a basis of Sturmian functions.We consider the problem of two-photon dissociation of H+2 with photons ranging from 0.32 to 0.4 a.u corresponding to wavelengths from 143 to 114 nm. The initial vibrational wave packet results from a vertical (Franck-Condon) transition from the H2 ground state towards a superposition of vibrational states in the 1sσg electronic state of H+2 . The effects of various types of nuclear interference on the population of the dissociative channels 2sσg and 3dσg are discussed in detail. In addition, we show that for 0.32-a.u. photon energy, the interference effects in the 3dσg channel whose existence has been demonstrated previously [Phys. Rev. Lett. 102, 123001 (2009)] can be observed in the total kinetic energy release spectrum.
Nabekawa Yasuo, Hasegawa Hirokazu, Takahashi Eiji J., Midorikawa Katsumi, Production of Doubly Charged Helium Ions by Two-Photon Absorption of an Intense Sub-10-fs Soft X-Ray Pulse at 42 eV Photon Energy, 10.1103/physrevlett.94.043001
Miyamoto Naoki, Kamei Masato, Yoshitomi Dai, Kanai Teruto, Sekikawa Taro, Nakajima Takashi, Watanabe Shuntaro, Observation of Two-Photon Above-Threshold Ionization of Rare Gases by xuv Harmonic Photons, 10.1103/physrevlett.93.083903
Hoshina K, Hishikawa A, Kato K, Sako T, Yamanouchi K, Takahashi E J, Nabekawa Y, Midorikawa K, Dissociative ATI of H2 and D2 in intense soft x-ray laser fields, 10.1088/0953-4075/39/4/007
Nepstad R., Birkeland T., Førre M., Numerical study of two-photon ionization of helium using anab initionumerical framework, 10.1103/physreva.81.063402
Palacios A., Barmaki S., Bachau H., Martín F., Two-photon ionization ofH2+by short laser pulses, 10.1103/physreva.71.063405
Palacios A., Bachau H., Martín F., Enhancement and Control ofH2Dissociative Ionization by Femtosecond VUV Laser Pulses, 10.1103/physrevlett.96.143001
Førre Morten, Barmaki Samira, Bachau Henri, Nuclear Interference in the Coulomb Explosion ofH2+in Short vuv Laser Fields, 10.1103/physrevlett.102.123001
Abeln B, Hernández J V, Anis F, Esry B D, Comparison of theoretical analyses of intense-laser-induced molecular dissociation, 10.1088/0953-4075/43/15/155005
He Hai-Xiang, Lu Rui-Feng, Zhang Pei-Yu, Han Ke-Li, He Guo-Zhong, Direct multi-photon ionizations of H+2in intense laser fields, 10.1088/0953-4075/45/8/085103
Kamta G. Lagmago, Bandrauk A. D., Three-dimensional time-profile analysis of high-order harmonic generation in molecules: Nuclear interferences inH2+, 10.1103/physreva.71.053407
Barmaki S., Bachau H., Ghalim M., Dissociation and ionization dynamics ofH2+with short laser pulses: TheL2approach, 10.1103/physreva.69.043403
Palacios A, Bachau H, Martín F, Resonant effects in the Coulomb explosion of H+2 by ultrashort laser pulses, 10.1088/0953-4075/38/6/l03
Bachau H, Cormier E, Decleva P, Hansen J E, Martín F, Applications ofB-splines in atomic and molecular physics, 10.1088/0034-4885/64/12/205
Foumouo Emmanuel, Kamta Gérard Lagmago, Edah Gaston, Piraux Bernard, Theory of multiphoton single and double ionization of two-electron atomic systems driven by short-wavelength electric fields: Anab initiotreatment, 10.1103/physreva.74.063409
Eiglsperger Johannes, Piraux Bernard, Madroñero Javier, Spectral representation of the three-body Coulomb problem: Perspectives for highly doubly excited states of helium, 10.1103/physreva.80.022511
Eiglsperger Johannes, Piraux Bernard, Madroñero Javier, Spectral representation of the three-body Coulomb problem. I. Nonautoionizing doubly excited states of high angular momentum in helium, 10.1103/physreva.81.042527
Eiglsperger Johannes, Piraux Bernard, Madroñero Javier, Spectral representation of the three-body Coulomb problem. II. Autoionizing doubly excited states of unnatural parity in helium, 10.1103/physreva.81.042528
Barmaki S, Bachau H, Coulomb explosion of H2+wave packet in ultrashort XUV laser fields, 10.1088/0953-4075/40/3/002
Bibliographic reference
Mezoui Ndo, Daniel Valery ; Owono, L.O. ; Piraux, Bernard ; Barmaki, S. ; Forre, M. ; et. al. Nuclear interference processes in the dissociation of H2+ in short vuv laser fields. In: Physical review. A, Atomic, molecular, and optical physics, Vol. 86, no.1, p. art n° 013416 (30 janvier 2012)