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<p>The scattering angle dependence of Fano resonance profiles in cold atomic collisions has been theoretically studied. A complex-valued parameter <i>w</i> with an analytical formula describing the asymmetry of the resonance profile is proposed as a new development from previous work on electron resonance scattering from atoms [F. Koike, J. Phys. <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\textbf{B10}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="bold">B</mi> <mn mathvariant="bold">10</mn> </mrow> </math></EquationSource> </InlineEquation>, 2883 (1977)]. It serves as the general formulation which leads to the angle-dependence of Fano’s <i>q</i> parameter. Calculations for cold elastic-collisions of hydrogen atoms with krypton atoms have been carried out. Strong angle-dependence is demonstrated for the resonance profile asymmetry in the differential scattering cross section due to the interference with non-resonant partial waves. The scattering angle dependence of the resonance profile and thus the newly proposed asymmetry parameter is highly sensitive to the inter-atomic interaction potentials. This is likely to prove useful for the study of interaction potentials themselves.</p>

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Scattering angle dependence of Fano resonance profiles in cold atomic collisions analyzed with the complex valued \(\varvec{w}\) parameter

  • 期刊论文

  • 发表日期：

    2026年3月8日

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  • Tanmay Singh,
  • Raj Aryan Singh,
  • Fumihiro Koike,
  • Masatomi Iizawa,
  • Yoshiro Azuma

摘要

The scattering angle dependence of Fano resonance profiles in cold atomic collisions has been theoretically studied. A complex-valued parameter w with an analytical formula describing the asymmetry of the resonance profile is proposed as a new development from previous work on electron resonance scattering from atoms [F. Koike, J. Phys. \(\textbf{B10}\) B 10 , 2883 (1977)]. It serves as the general formulation which leads to the angle-dependence of Fano’s q parameter. Calculations for cold elastic-collisions of hydrogen atoms with krypton atoms have been carried out. Strong angle-dependence is demonstrated for the resonance profile asymmetry in the differential scattering cross section due to the interference with non-resonant partial waves. The scattering angle dependence of the resonance profile and thus the newly proposed asymmetry parameter is highly sensitive to the inter-atomic interaction potentials. This is likely to prove useful for the study of interaction potentials themselves.