Laser-Assisted Scattering with Screened Diatomic Potential
DOI:
https://doi.org/10.21009/SPEKTRA.093.01Keywords:
differential cross section, laser-assisted scattering, polarization conditions, morse potential, screening effectsAbstract
This study explores the differential cross section (DCS) for laser-assisted scattering of diatomic molecules, considering various polarization conditions (linear, circular, elliptical) and potential parameters. The primary objective is to understand how polarization, screening effects, and potential parameters influence the scattering behavior. Utilizing a model that incorporates the Morse potential with screening effects, the analysis treats the laser field classically as a time-dependent, spatially homogeneous electric field, while the electron dynamics are described quantum mechanically using the Schrödinger equation. The Volkov wavefunction is derived, and the first-Born S-matrix element is computed to evaluate the scattering process. The results show that the DCS decreases with increasing screening parameters, with linear polarization yielding higher values than circular or elliptical polarization. Specifically, at an initial momentum of 8 MeV and a final momentum of 9 MeV, the DCS for elliptical polarization is notably higher. The DCS also varies with potential strength and well width, showing a peak at 0.14 Å for potential well width. The findings suggest that linear polarization is most effective for scattering studies under varying potential strengths. It is recommended to focus on linear polarization for enhanced scattering efficiency and to carefully adjust screening parameters and potential well widths for optimal results.
References
A. Jaron-Becker, “Molecular dynamics in strong laser fields,” IEEE Journal of Selected Topics in Quantum Electronics, vol. 18, no. 1, pp. 105-112, 2011.
S. Varró, S. Hack, G. Paragi, P. Földi, I. F. Barna, and A. Czirják, “Diatomic molecule in a strong infrared laser field: Level-shifts and bond-length change due to laser-dressed Morse potential,” New Journal of Physics, vol. 25, no. 7, p. 073001, 2023.
M. Wei et al., “Two-center interference effect in ionization of diatomic molecules subject to close-to-circularly-polarized femtosecond laser fields,” Physical Review A, vol. 98, no. 6, p. 063418, 2018.
P. Stammer et al., “Quantum electrodynamics of intense laser-matter interactions: A tool for quantum state engineering,” PRX Quantum, vol. 4, no. 1, p. 010201, 2023.
P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Physical Review Letters, vol. 71, no. 13, p. 1994, 1993.
A. Palacios, J. L. Sanz-Vicario, and F. Martín, “Theoretical methods for attosecond electron and nuclear dynamics: Applications to the H₂ molecule,” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 48, no. 24, p. 242001, 2015.
Z. Sun and N. Lou, “Autler-Townes splitting in the multiphoton resonance ionization spectrum of molecules produced by ultrashort laser pulses,” Physical Review Letters, vol. 91, no. 2, p. 023002, 2003.
K. Yadav et al., “Elliptically polarized laser-assisted elastic electron-hydrogen atom collision in Coulomb potential,” Eurasian Physical Technical Journal, vol. 18, no. 4(38), pp. 82-87, 2021.
S. H. Dhobi et al., “Differential cross-section in the presence of a weak laser field for inelastic scattering,” Ukrainian Journal of Physics, vol. 67, no. 4, p. 227, 2022.
S. H. Dhobi et al., “Study of thermodynamics of a thermal electron in scattering,” Heliyon, vol. 8, no. 12, 2022.
S. H. Dhobi et al., “Differential cross section with Volkov-thermal wave function in Coulomb potential,” Atom Indonesia, vol. 1, no. 1, pp. 19-25, 2024.
D. M. Volkov, “On a class of solutions of the Dirac equation,” Zeitschrift für Physik, vol. 94, pp. 250-260, 1935.
C. J. Joachain, P. Francken, A. Maquet, P. Martin, and V. Véniard, “(e, 2e) collisions in the presence of a laser field,” Physical Review Letters, vol. 61, p. 165, 1988.
M. Mohan and P. Chand, “Electron-impact ionization of the hydrogen atom in the presence of an intense laser beam,” Phys. Lett. A, vol. 65, no. 5-6, pp. 399-401, 1978.
E. Maghsoodi, H. Hassanabadi, and O. Aydoğdu, “Dirac particles in the presence of the Yukawa potential plus a tensor interaction in SUSYQM framework,” Phys. Scr., vol. 86, p. 015005, 2012.
M. Zarezadeh and M. K. Tavassoly, “Solution of the Schrodinger equation for a particular form of Morse potential using the Laplace transform,” Chin. Phys. C (HEP & NP), vol. 37, p. 043106, 2009.
A. M. Desai, N. Mesquita, and V. Fernandes, “A new modified Morse potential energy function for diatomic molecules,” Phys. Scr., vol. 95, p. 085401, 2020.
D. A. Morals, “Supersymmetric improvement of the Pekeris approximation for the rotating Morse potential,” Chem. Phys. Lett., vol. 394, pp. 68-75, 2004.
R. Khordad and A. Ghambari, “Theoretical prediction of thermodynamic functions of TiC: Morse ring-shaped potential,” J. Low Temp. Phys., vol. 199, pp. 1-13, 2020.
J. Cruz, H. Luís, M. Fonseca, and A. P. Jesus, “Electron screening effects in nuclear reactions: still an unsolved problem,” in Journal of Physics: Conference Series, vol. 337, no. 1, p. 012062, Feb. 2012, IOP Publishing.
Y. D. Jung and K. S. Lee, “Screening effects on nonrelativistic bremsstrahlung in the scattering of electrons by neutral atoms,” Astrophys. J., vol. 440, NASA-TM-112928, 1995.
M. Čalkovský, M. Hugenschmidt, E. Müller, and D. Gerthsen, “Differential Electron Scattering Cross-Section at Low Electron Energies: The Influence of the Screening Parameter,” Microsc. Microanal., vol. 25, no. S2, pp. 464-465, 2019, doi:10.1017/s1431927619003052.
K. Bartschat, J. Tennyson, and O. Zatsarinny, “Quantum‐mechanical calculations of cross sections for electron collisions with atoms and molecules,” Plasma Process. Polym., vol. 14, no. 1-2, p. 1600093, 2017.
O. Zatsarinny, Y. Wang, and K. Bartschat, “Electron-impact excitation of argon at intermediate energies,” Phys. Rev. A, vol. 89, no. 2, p. 022706, 2014.
M. Kurokawa et al., “High-resolution total-cross-section measurements for electron scattering from Ar, Kr, and Xe employing a threshold-photoelectron source,” Phys. Rev. A—At., Mol., Opt. Phys., vol. 84, no. 6, p. 062717, 2011.
V. Zeman, K. Bartschat, C. Norén, and J. W. McConkey, “Near-threshold electron-impact excitation of the vacuum-ultraviolet resonance transitions in Ne, Ar, Kr, and Xe,” Phys. Rev. A, vol. 58, no. 2, p. 1275, 1998.
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