Confinement-induced resonances in two-center problem via a pseudopotential approach

We study confined scattering of a quantum particle by two centers fixed on the longitudinal axis of a harmonic-waveguide-like trap. The conditions of confinement-induced resonances (CIRs) appearing in these systems, when scattering cross section approaches the unitary limit, are derived for a regularized pseudopotential describing particle interaction with scattering centers. In the limit of a single center, the position of CIR for an even state tends to the well-known result obtained by Olshanii [Phys. Rev. Lett. 81, 938 (1998)PRLTAO0031-900710.1103/PhysRevLett.81.938]. Our result can be applicable to confined atomic scattering by fixed impurities, such as ions or Rydberg atoms, with possible extension to N impurities, or by two-atomic molecules. © 2019 American Physical Society.

Authors
Shadmehri S.1 , Melezhik V.S. 1, 2
Publisher
American Physical Society
Number of issue
3
Language
English
Status
Published
Number
032705
Volume
99
Year
2019
Organizations
  • 1 Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Region, 141980, Russian Federation
  • 2 Peoples' Friendship University of Russia, RUDN University, Miklukho-Maklaya St. 6, Moscow, 117198, Russian Federation
Keywords
Atomic scattering; Confinement-induced resonances; Longitudinal axis; Pseudopotential approach; Pseudopotentials; Quantum particles; Scattering centers; Scattering cross section; Atoms
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38718/
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