Theoretical Study of Positron-Electron Scattering with Thermal-Volkov Wavefunction

Authors

  • Narayan KC Department of Physics, Patan Multiple Campus, Tribhuvan University, Lalitpur 44700, Nepal
  • Suresh Prasad Gupta Department of Physics, Patan Multiple Campus, Tribhuvan University, Lalitpur 44700, Nepal
  • Kishroi Yadav Department of Physics, Patan Multiple Campus, Tribhuvan University, Lalitpur 44700, Nepal
  • Saddam Husain Dhobi Central Department of Physics, Tribhuvan University, Kirtipur 44618, Nepal

DOI:

https://doi.org/10.21009/SPEKTRA.102.01

Keywords:

differential cross section, positron energy, temperature, z-value, laser field photons, pulse duration, scattering, resonance, thermal effects

Abstract

This study investigates the differential cross-section (DCS) for laser-assisted positron-electron scattering in a Gaussian wave packet, within a linearly polarized laser field in a thermal environment. For this, a theoretical model was developed with a designed thermal Gaussian Volkov wavefunction, vector potential, and scattering matrix with the application of the Bessel function.  The developed model was computed using the Matlab programming language to study the nature of the developed model of DCS. The observation shows that the DCS initially increases with positron energy, reaching a peak around 0.5 eV; after that, it decreases with further increases in energy and approaches a constant at high energies. This is due to changing dynamics of positron-electron interactions with resonance occurring at specific energies. Also, the observation shows that temperature plays a significant role, especially at lower energies, with higher temperatures (325 K) enhancing the DCS due to increased thermal excitation of the target electrons. The study also explores the influence of the  z-value and found that higher z-values lead to a decrease in the DCS due to the Coulombic interaction becoming stronger. Moreover, the effects of external factors such as the number of laser field photons and pulse duration are considered. The observation shows that shorter laser pulse durations and higher photon energies enhance the scattering process, while longer pulse durations result in a decrease in DCS. This study aids in optimizing technologies like PET imaging, plasma diagnostics, and particle accelerators by revealing how positron-electron scattering varies with energy, temperature, and laser parameters. It supports real-world applications in medical, space, and materials science.

References

A. Bhatia, “Scattering and its applications to various atomic processes: Elastic scattering, resonances, photoabsorption, Rydberg states, and opacity of the atmosphere of the Sun and stellar objects,” Atoms, vol. 8, no. 4, p. 78, 2020.

N. Kroll and K. Watson, “Charged-particles scattering in the presence of a strong electromagnetic wave,” Phys. Rev. A, vol. 8, pp. 804–809, 1973.

D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed. Cambridge, U.K.: Cambridge University Press, 2018.

T. Podszus and A. Di Piazza, “First-order strong-field QED processes including the damping of particle states,” Phys. Rev. D, vol. 104, no. 1, p. 016014, 2021.

L. Rosenberg and F. Zhou, “Generalized Volkov wave functions: Application to laser-assisted scattering,” Phys. Rev. A, vol. 47, no. 3, p. 2146, 1993.

K. Fedus and G. Karwasz, “Positron scattering at thermal energies,” Acta Phys. Pol. A, vol. 125, no. 3, pp. 829–832, 2014.

J. T. Mendonca and A. Serbeto, “Volkov solutions for relativistic quantum plasmas,” Phys. Rev. E, vol. 83, no. 2, p. 026406, 2011.

S. Taj, B. Manaut, and M. El Idrissi, “Laser-assisted positron-impact ionization of hydrogen atoms,” Acta Phys. Pol. A, vol. 136, no. 1, p. 78, 2019.

P. Fraser, “Positrons and positronium in gases,” Adv. At. Mol. Phys., vol. 4, pp. 63–107, 1968.

S. Singh et al., “Theoretical formalism to estimate the positron scattering cross section,” J. Phys. Chem. A, vol. 120, no. 28, pp. 5685–5692, 2016.

J. Larkin et al., “Numerical study of positron-hydrogen scattering,” Phys. Rev. A, vol. 57, no. 4, pp. 2572–2577, 1998. doi: 10.1103/PhysRevA.57.2572.

S. H. Dhobi et al., “Differential cross-section in the presence of a weak laser field for inelastic scattering,” Ukr. J. Phys., vol. 67, no. 4, pp. 227–235, 2022, doi: 10.15407/ujpe67.4.227.

S. P. Roshchupkin, V. V. Dubov, and D. V. Doroshenko, “Resonance of the annihilation channel of a laser-assisted electron-positron scattering,” in Proc. PhotonIcs Electromagn. Res. Symp. (PIERS-Spring), Rome, Italy, Jun. 2019, pp. 4220–4225.

J. Pan, S. M. Li, and J. Berakdar, “Laser-assisted positron-impact ionization of atomic hydrogen,” Opt. Lett., vol. 32, no. 6, pp. 585–587, 2007.

W. Y. Du, B. H. Wang, and S. M. Li, “Nonlinear effects in the laser-assisted scattering of a positron by a muon,” Mod. Phys. Lett. B, vol. 32, no. 05, p. 1850058, 2018.

K. A. Bornikov, I. P. Volobuev, and Y. V. Popov, “On Compton ionization of positronium by twisted photons,” Moscow Univ. Phys. Bull., vol. 80, no. 1, pp. 76–84, 2025.

Z. K. Dou et al., “Compact spin-polarized positron acceleration in multilayer microhole-array films,” Phys. Rev. E, vol. 111, no. 3, p. 035209, 2025.

Q. Su and J. H. Eberly, “Model atom for multiphoton physics,” Phys. Rev. A, vol. 44, no. 9, pp. 5997–6008, 1991. doi: 10.1103/PhysRevA.44.5997.

F. He, A. Becker, and U. Thumm, "Strong-field modulated diffraction effects in the correlated electron-nuclear motion in dissociating H₂⁺," Phys. Rev. Lett., vol. 101, no. 21, p. 213002, 2008.

X. H. Ji et al., “Quantum dynamics of positron-hydrogen scattering and three-body bound state formation with an assisting laser field,” J. Phys. B: At. Mol. Opt. Phys., vol. 57, no. 1, p. 015203, 2024.

S. H. Dhobi et al., "Differential cross section with Volkov-thermal wave function in Coulomb potential,” Atom Indonesia, vol. 50, no. 1, pp. 19–25, 2024.

S. H. Dhobi et al., “Study of thermodynamics of a thermal electron in scattering,” Heliyon, vol. 8, no. 12, 2022.

M. Shorifuddoza et al., “Scattering of e∓ from ytterbium atoms,” Eur. Phys. J. D, vol. 73, pp. 1–23, 2019.

A. I. Lozano et al., “Electron and positron scattering cross sections from CO2: A comparative study over a broad energy range (0.1–5000 eV),” J. Phys. Chem. A, vol. 126, no. 36, pp. 6032–6046, 2022.

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Published

2025-08-15

How to Cite

KC, N., Gupta, S. P., Yadav, K., & Dhobi, S. H. (2025). Theoretical Study of Positron-Electron Scattering with Thermal-Volkov Wavefunction . Spektra: Jurnal Fisika Dan Aplikasinya, 10(2), 71–86. https://doi.org/10.21009/SPEKTRA.102.01

Issue

Vol. 10 No. 2 (2025): SPEKTRA: Jurnal Fisika dan Aplikasinya, Volume 10 Issue 2, August 2025

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Articles

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Copyright (c) 2025 K. C. Narayan, S. P. Gupta, K. Yadav, S. H. Dhobi

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