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Related Experiment Videos

Size of two-body weakly bound objects: short versus long range potentials.

R J Lombard1, C Volpe

  • 1Groupe de Physique Théorique, Institut de Physique Nucléaire, F-91406 Orsay Cedex, France.

Physical Review Letters
|May 15, 2002
PubMed
Summary

Investigating two-body object size near zero separation energy reveals that both long and short-range potentials create extended systems. Asymptotic laws vary by potential range, except for the l=0 state, with Kratzer potential illustrating these effects.

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Area of Science:

  • Physics
  • Quantum Mechanics
  • Atomic Physics

Background:

  • Understanding the behavior of two-body systems is crucial in quantum mechanics.
  • The influence of potential range and shape on system size is a key area of study.

Purpose of the Study:

  • To investigate how the size of two-body objects varies as separation energy approaches zero.
  • To analyze the impact of both long-range and short-range potentials with repulsive cores on system size.
  • To explore the asymptotic behavior and parameter sensitivity of different potential ranges.

Main Methods:

  • Analysis of two-body systems with potentials characterized by a repulsive core.
  • Investigation of systems as separation energy approaches zero.
  • Study of asymptotic laws for different potential ranges (long vs. short).

Related Experiment Videos

  • Parameter sensitivity analysis for two- and three-parameter short-range potentials.
  • Illustration using the Kratzer potential for various scenarios.

    • Main Results:

    • Both long-range and short-range potentials can lead to very extended two-body systems.
    • Asymptotic laws differ based on potential range, except for the l=0 state.
    • Short-range potentials show sensitivity to their shape and length parameters.
    • The transition from short- to long-range behavior for the l=0 case is demonstrated.

    Conclusions:

    • The range of the potential significantly influences the asymptotic behavior of two-body systems.
    • Extended systems can arise from various potential types, including those with repulsive cores.
    • The Kratzer potential serves as a useful model for understanding these phenomena across different regimes.