Separable Potentials Model for Atoms and Molecules in Strong Ultrashort Laser Pulses

  • Yu. V. Popov
  • A. GalstyanEmail author
  • B. Piraux
  • P. F. O’Mahony
  • F. Mota-Furtado
  • P. Decleva
  • O. Chuluunbaatar
Part of the Springer Series in Chemical Physics book series (CHEMICAL, volume 119)


In this contribution, we discuss a model based on the replacement of the potential describing the interaction of a single active electron with the nucleus or the nuclei of atoms or molecules, with a potential, separable in momentum space and consisting of several terms. Each term supports only one single electron bound state of the system. We apply this model to the description of the interaction of atomic and molecular hydrogen, hydrogen anion and water molecule with an external ultrashort laser pulse. As expected, this short range separable potential model works very well for the hydrogen negative ion due to the short range nature of it real potential. In the case of other systems, we show that, at high frequency, taking into account the long range interaction in the final state is equivalent to multiplying the ionisation probability by a constant factor independent of the laser parameters.



We are grateful to Professor A. Saenz and his group for running their code for molecular hydrogen for us to be able to compare our results with theirs. A. G. is “aspirant au Fonds de la Recherche Scientifique (F. R. S.-FNRS)”. Yu.P. thanks the Université catholique de Louvain (UCL) for financially supporting several stays at the Institute of Condensed Matter and Nanosciences of the UCL. F. M. F. and P. F. O’M. gratefully acknowledge the European network COST (Cooperation in Science and Technology) through the Action CM1204 “XUV/X-ray light and fast ions for ultrafast chemistry” (XLIC) for financing several short term scientific missions at UCL. P.D. and A.G. acknowledge COST XLIC and F. R.S-FNRS for financing two short term scientific missions (STSM) in Trieste, Italy, and participation in COST XLIC meetings. The present research benefited from computational resources made available on the Tier-1 supercomputer of the Federation Wallonie-Bruxelles funded by the Region Wallonne under the Grant No. 1117545 as well as on the supercomputer Lomonosov from Moscow State University and on the supercomputing facilities of the UCL and the Consortium des Equipements de Calcul Intensif (CECI) en Federation Wallonie-Bruxelles funded by the F.R.S.-FNRS under the convention 2.5020.11. Y.P. is grateful to the Russian Foundation for Basic Research (RFBR) for financial support under the grant No. 16-02-00049-a. O.Ch. acknowledges support from the Hulubei-Meshcheryakov program JINR-Romania.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Yu. V. Popov
    • 1
    • 2
  • A. Galstyan
    • 3
    Email author
  • B. Piraux
    • 3
  • P. F. O’Mahony
    • 4
  • F. Mota-Furtado
    • 4
  • P. Decleva
    • 5
  • O. Chuluunbaatar
    • 2
    • 6
  1. 1.Skobeltsyn Institute of Nuclear PhysicsLomonosov Moscow State UniversityMoscowRussia
  2. 2.Joint Institute for Nuclear ResearchDubna, MoscowRussia
  3. 3.Institute of Condensed Matter and NanosciencesUniversité Catholique de LouvainLouvain-la-NeuveBelgium
  4. 4.Department of Mathematics, Royal HollowayUniversity of LondonEghamUK
  5. 5.Dipartimento di Scienze Chimiche e FarmaceuticheUniversita’ di TriesteTriesteItaly
  6. 6.Institute of MathematicsNational University of MongoliaUlaanBaatarMongolia

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