Speaker
Description
The Gailitis-Damburg oscillations are the near threshold singularities of cross-sections of reactive scattering predicted to exist in some atomic systems [1, 2, 3]. Namely, above the threshold of excited state of neutrally charged atom an infinite series of logarithmically spaced maxima and minima of cross-section can arise. Although this phenomenon was predicted in the early 1960s, there is no strong experimental confirmation and only a few recent computational studies devoted to improving the conditions of experiments with antimatter have observed the signs of it [4, 5, 6].
We present the results of our theoretical study of the behavior of cross sections of low-energy scattering in the systems e+pe- and e-pe-. Our computational experiment is based on solution of the Merkuriev-Faddeev equations in the total orbital momentum representation [7, 8] and the recently obtained original theoretical results on the wave function asymptote for the three-body Coulomb system in the presence of particle-atom dipole potential [9]. The latter is critically important for obtaining the reliable results at sufficiently small above threshold energies [10]. We have observed the existence of the Gailitis-Damburg oscillations in the partial cross sections [11]. Surprisingly, some of the obtained results contradict the theory of Gailitis and Damburg. We discuss it in our talk.
References
1. M. Gailitis and R. Damburg, Sov. Phys. JETP 17, 1107 (1963)
2. M. Gailitis and R. Damburg, Proc. Phys. Soc. 82, 192 (1963)
3. P. G. Burke, R-Matrix Theory of Atomic Collisions (Springer, Heidelberg, 2011).
4. C.-Y. Hu, D. Caballero, and Z. Papp, Phys. Rev. Lett. 88, 063401 (2002)
5. I. I. Fabrikant, A. W. Bray, A. S. Kadyrov, and I. Bray, Phys. Rev. A 94, 012701 (2016)
6. M. Valdes, M. Dufour, R. Lazauskas, and P.-A. Hervieux, Phys. Rev. A 97, 012709 (2018)
7. V. V. Kostrykin, A. A. Kvitsinsky, and S. P. Merkuriev, Few Body Syst. 6, 97 (1989)
8. V. A. Gradusov, V. A. Roudnev, E. A. Yarevsky, and S. L. Yakovlev, Commun. Comput. Phys. 30, 255 (2021)
9. V. A. Gradusov, S. L. Yakovlev, Theor. Math. Phys. to appear (2024)
10. V. A. Gradusov, S. L. Yakovlev, Theor. Math. Phys. 217(2), 1777 (2023)
11. V. A. Gradusov, S. L. Yakovlev, JETP Letters, 119(3), 151 (2024)
Financial support from Russian Science Foundation grant No. 23-22-00109 is acknowledged.
