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

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Progress in Photon Science

Part of the book series: Springer Series in Chemical Physics ((CHEMICAL,volume 119))

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Abstract

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.

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Notes

  1. 1.

    The approach is not limited to linear polarisation of the external field or a particular form of the envelope.

  2. 2.

    Cusp is an abrupt change of the photodetachment cross section which violates the Wigner’s threshold law [52].

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Acknowledgements

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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Authors and Affiliations

  1. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia

    Yu. V. Popov

  2. Joint Institute for Nuclear Research, Dubna, Moscow, 141980, Russia

    Yu. V. Popov & O. Chuluunbaatar

  3. Institute of Condensed Matter and Nanosciences, Université Catholique de Louvain, 2 Chemin du Cyclotron, L7.01.07, 1348, Louvain-la-Neuve, Belgium

    A. Galstyan & B. Piraux

  4. Department of Mathematics, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, UK

    P. F. O’Mahony & F. Mota-Furtado

  5. Dipartimento di Scienze Chimiche e Farmaceutiche, Universita’ di Trieste, Trieste, Italy

    P. Decleva

  6. Institute of Mathematics, National University of Mongolia, UlaanBaatar, Mongolia

    O. Chuluunbaatar

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  1. Yu. V. Popov
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  2. A. Galstyan
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Correspondence to A. Galstyan .

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Editors and Affiliations

  1. Department of Chemistry, The University of Tokyo, Tokyo, Japan

    Kaoru Yamanouchi

  2. Institute of Chemistry, Saint Petersburg State University, Saint Petersburg, Russia

    Sergey Tunik

  3. Physics Faculty, Lomonosov Moscow State University, Moscow, Russia

    Vladimir Makarov

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Popov, Y.V. et al. (2019). Separable Potentials Model for Atoms and Molecules in Strong Ultrashort Laser Pulses. In: Yamanouchi, K., Tunik, S., Makarov, V. (eds) Progress in Photon Science. Springer Series in Chemical Physics, vol 119. Springer, Cham. https://doi.org/10.1007/978-3-030-05974-3_11

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