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Area of Science:

  • Nuclear Physics
  • Atomic Physics
  • Quantum Mechanics

Background:

  • Nuclear radius is a key observable for atomic nuclei and nuclear matter.
  • Research on drip line nuclei using radioactive ion beams is advancing.
  • Proton-unbound nuclei radii are of interest for laser spectroscopy.

Purpose of the Study:

  • Investigate the radius of proton resonances in unbound nuclei.
  • Define the ill-defined radius in standard quantum mechanics.
  • Explore complex radii and their relation to experimental observables.

Main Methods:

  • Utilize the complex-energy approach.
  • Employ direct time propagation techniques.
  • Analyze Gamow resonances and their properties.

Main Results:

  • Identified an early-time plateau for Gamow resonance radius.
  • Demonstrated coincidence with real-energy radii.
  • Observed nonmonotonic dependence of complex radius on decay energy.
  • Found a local increase in charge radius across the threshold (halolike enhancement).

Conclusions:

  • The complex-energy approach provides a measurable radius for proton resonances.
  • An early-time plateau bridges theoretical and experimental radius measurements.
  • Nuclear structure near the drip line exhibits unique characteristics like halolike enhancements.