Abstract
The Wigner time delay in the processes of elastic scattering of slow electrons by two-atomic molecule has been studied within the frame of non-overlapping atomic potentials model. The molecular continuum wave function is represented as a combination of a plane wave and two spherical s-waves, generated by the centers of atomic spheres. The asymptotic of this function determines in closed form the amplitude of elastic electron scattering. It has been shown that at asymptotically great distances from the molecule the continuum wave functions can be presented as an expansion in a set of other than spherical, orthonormal functions. The coefficients of the scattering amplitude expansion in a series of these functions determine the scattering phases for the molecular system under consideration. With these molecular phase shifts the Wigner time delay for slow electron scattered by two-atomic target has been calculated. As a concrete example of a molecule we consider C2.
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Notes
We have demonstrated quite a while ago [13] that the introduction of a molecular sphere into the muffin-tin-potential model leads to some non-physical features in the molecular continuum wave functions.
Atomic units are used throughout this paper.
Note, that in [18] a similar function was used to describe scattering of slow mesons by deuteron.
REFERENCES
L. E. Eisenbud, Ph. D. Thesis (Princeton Univ., Princeton, 1948).
E. P. Wigner, Phys. Rev. 98, 145 (1955).
F. T. Smith, Phys. Rev. 118, 349 (1960).
P. M. Kraus, A. Rupenyan, and H. J. Wörner, Phys. Rev. Lett. 109, 233903 (2012).
A. Chacon, M. Lein, and C. Ruiz, Phys. Rev. A 89, 053427 (2014).
P. M. Kraus, D. Baykusheva, and H. J. Wörner, Phys. Rev. Lett. 113, 023001 (2014).
P. Hockett, E. Frumker, D. M. Villeneuve, and P. B. Corkum, J. Phys. B 49, 095602 (2016).
M. Huppert, I. Jordan, D. Baykusheva, A. von Conta, and H. J. Wörner, Phys. Rev. Lett. 117, 093001 (2016).
D. Baykusheva and H. J. Wörner, J. Chem. Phys. 146, 1 (2017).
F. A. Gianturco, R. R. Lucchese, and N. Sanna, J. Chem. Phys. 100, 6464 (1994).
A. P. P. Natalense and R. R. Lucchese, J. Chem. Phys. 111, 5344 (1999).
F. A. Gianturco and A. Jain, Phys. Rep. 143, 347 (1986).
M. Ya. Amusia and A. S. Baltenkov, Centr. Eur. J. Phys. 8, 825 (2010).
H. D. Cohen and U. Fano, Phys. Rev. 150, 31 (1966).
A. S. Baltenkov, S. T. Manson, and A. Z. Msezane, J. Phys. B 51, 205101 (2018).
Yu. N. Demkov and V. S. Rudakov, Sov. Phys. JETP 32, 1103 (1971).
A. S. Baltenkov and A. Z. Msezane, Eur. Phys. J. D 71, 305 (2017).
K. A. Brueckner, Phys. Rev. 89, 834 (1953).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics, Non-Relativistic Theory (Pergamon, Oxford, 1965; Nauka, Moscow, 1989).
V. V. Serov, V. L. Derbov, and T. A. Sergeeva, Phys. Rev. A 87, 063414 (2013).
D. Dill and J. L. Dehmer, J. Chem. Phys. 61, 692 (1974).
A. S. Baltenkov, S. T. Manson, and A. Z. Msezane, J. Phys. B 45, 035202 (2012).
M. Ya. Amusia and A. S. Baltenkov, arXiv: 2001.03652 (2020).
ACKNOWLEDGMENTS
A.S. Baltenkov thanks for support the Uzbek Fund, grant OT-F2-46, and Dr. I. Woiciechowski for useful discussions.
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Amusia, M.Y., Baltenkov, A.S. Time Delay of Slow Electrons by a Diatomic Molecule Described by Non-Overlapping Atomic Potentials Model. J. Exp. Theor. Phys. 131, 707–713 (2020). https://doi.org/10.1134/S1063776120100015
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DOI: https://doi.org/10.1134/S1063776120100015