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Coulomb Green’s functions in the problem of photodetachment of the negatively charged hydrogen ion

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Abstract

We propose a new approach to calculate the photodetachment cross section of the atom using the Green’s function for summation over the final states of the system. In the present work, we approbate this approach for calculation of the photodetachment cross section for the two electron atomic system, namely, the negatively charged hydrogen ion H using the two-electron Coulomb Green’s function. The analytical form of this function is obtained by convolution of the one-particle Coulomb Green’s functions in the framework of the regular perturbation theory. Our results are in a good agreement with available experimental data.

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References

  1. L.H. Aller, The Atmospheres of the Sun and Stars (Ronald Press, New York, NY, 1963)

  2. L. Motz, Astrophysics and Stellar Structure (Ginn and Company, Waltham, 1970)

  3. M. Vandevraye, P. Babilotte, C. Drag, C. Blondel, Phys. Rev. A 90, 013411 (2014)

    Article  ADS  Google Scholar 

  4. A.M. Frolov, Chem. Phys. Lett. 635, 312 (2015)

    Article  ADS  Google Scholar 

  5. A.M. Frolov, Eur. Phys. J. D 69, 132 (2015)

    Article  ADS  Google Scholar 

  6. A.M. Frolov, D.M. Wardlaw, J. Math. Chem. 53, 1426 (2015)

    Article  MathSciNet  Google Scholar 

  7. M. Génévriez, X. Urbain, Phys. Rev. A 91, 033403 (2015)

    Article  ADS  Google Scholar 

  8. A.M. Frolov, J.V.H. Smith, J. Chem. Phys. 36, 1739 (2003)

    Google Scholar 

  9. A. Dalgarno, J.T. Lewis, Proc. R. Soc. A 233, 70 (1955)

    ADS  Google Scholar 

  10. R. Shakeshaft, Phys. Rev. A 70, 042704 (2004)

    Article  ADS  Google Scholar 

  11. I.D. Feranchuk, V.V. Triguk, Phys. Lett. A 375, 2550 (2011)

    Article  ADS  Google Scholar 

  12. O.D. Skoromnik, I.D. Feranchuk, A.U. Leonau, C.H. Keitel, J. Phys. B: At., Mol. Opt. Phys. 50, 245007 (2017)

    Article  ADS  Google Scholar 

  13. L.D. Landau, E.M. Lifschitz, Quantum Electrodynamics. 1st edn. (Pergamon, New York, NY, 1971)

  14. M. Veselov, L. Labzovskii, The Theory of Atoms: Structure of Atomic Shells (in russian) (Nauka, Moscow, 1986)

  15. I. Gradshtein, I. Ryzhik, Tables of Integrals, Sums, Series and Products. 7th edn. (Academic Press, Cambridge, MA, 2007)

  16. I.D. Feranchuk, A. Ivanov, V.-H. Le, A. Ulyanenkov, Non-perturbative Description of Quantum Systems (Springer, Heidelberg, 2015)

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Correspondence to Ilya D. Feranchuk, Dung V. Lu, Nguyen V. Hieu or Nguyen N. Hieu.

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Feranchuk, I.D., Lu, D.V., Hieu, N.V. et al. Coulomb Green’s functions in the problem of photodetachment of the negatively charged hydrogen ion. Eur. Phys. J. D 73, 110 (2019). https://doi.org/10.1140/epjd/e2019-90440-6

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  • DOI: https://doi.org/10.1140/epjd/e2019-90440-6

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