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Fano interference in quantum resonances from angle-resolved elastic scattering.

Prerna Paliwal1, Alexander Blech2, Christiane P Koch3

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Researchers revealed asymmetric Fano profiles in single-channel shape resonances by analyzing angular dependence. This finding, observed in helium-deuterium collisions, challenges previous assumptions and offers new insights into quantum scattering phenomena.

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Area of Science:

  • Atomic and Molecular Physics
  • Quantum Scattering Theory
  • Spectroscopy

Background:

  • Asymmetric spectral line shapes, characteristic of Fano interference, are typically observed in multichannel systems like photoionization and Feshbach resonances.
  • In single-channel resonant scattering, these signatures often vanish due to the orthogonality of partial waves, limiting the study of interference phenomena.
  • Understanding interference effects is crucial for interpreting complex quantum phenomena in atomic and molecular interactions.

Purpose of the Study:

  • To demonstrate the observation of asymmetric Fano profiles in single-channel shape resonances.
  • To investigate the role of angular dependence in revealing Fano-like profiles in resonant scattering.
  • To provide experimental evidence and theoretical validation for Fano profiles in single-channel systems.

Main Methods:

  • Experimental measurement of elastic scattering cross sections for collisions between metastable helium and deuterium molecules.
  • Analysis of the angular dependence of the resonance profile.
  • Full quantum scattering calculations to predict and interpret the observed phenomena.
  • Development of a model for partial wave interference to disentangle contributions and extract phase information.

Main Results:

  • Observed a shift in the resonance profile peak with the detection angle in elastic helium-deuterium collisions.
  • Demonstrated the presence of asymmetric Fano profiles in a single-channel shape resonance, contrary to previous expectations.
  • Experimental results showed excellent agreement with theoretical predictions from quantum scattering calculations.
  • Successfully extracted the relative phase responsible for Fano-like profiles using a partial wave interference model.

Conclusions:

  • Probing the angular dependence of the cross section is a viable method to unveil asymmetric Fano profiles in single-channel shape resonances.
  • The study successfully challenges the notion that Fano interference signatures are absent in single-channel scattering.
  • The findings provide a deeper understanding of quantum interference effects and their manifestations in atomic and molecular collisions.