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Area of Science:

  • Nuclear Physics
  • Quantum Mechanics
  • Nuclear Reactions

Background:

  • Single-particle strengths reveal nuclear structure and correlations.
  • Discrepancies exist between knockout and electron-induced/transfer reaction data regarding asymmetry dependence.
  • This puzzle has persisted for two decades.

Purpose of the Study:

  • To reconcile conflicting data on single-particle strengths from different nuclear reaction probes.
  • To quantify theoretical uncertainties in reaction models using Bayesian analysis.
  • To investigate the asymmetry dependence of single-particle strengths.

Main Methods:

  • Consistent analysis of one-nucleon transfer and one-nucleon knockout data.
  • Bayesian analysis to quantify theoretical uncertainties in nucleon-nucleus effective interactions.
  • Comparison of spectroscopic strengths extracted from different reaction types.

Main Results:

  • Spectroscopic strengths for loosely bound nucleons agree between transfer and knockout reactions when uncertainties are considered.
  • The slope of asymmetry dependence for single-particle strengths is consistent within 1σ for both probes.
  • Both reaction types suggest a small asymmetry dependence of single-particle strengths.

Conclusions:

  • The long-standing puzzle of inconsistent single-particle strengths is resolved by accounting for theoretical uncertainties.
  • Transfer and knockout reactions provide consistent information on nuclear structure.
  • The study establishes a lower bound for uncertainties, which are significantly larger than previously estimated.