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Correlations in alpha-alpha scattering and semi-classical optical models.

F A Cucinotta1, G S Khandelwal, L W Townsend

  • 1Physics Department, Old Dominion University, Norfolk, VA 23508, USA.

Physics Letters. [Part B]
|June 8, 1989
PubMed
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We demonstrate the equivalence between semi-classical and Glauber multiple-scattering series for nucleus-nucleus collisions. Approximating excited nuclear states with ground states simplifies calculations, showing negligible impact of excited-state densities in alpha-alpha scattering.

Area of Science:

  • Nuclear physics
  • Quantum scattering theory

Background:

  • The nucleus-nucleus multiple-scattering series provides a theoretical framework for understanding nuclear interactions.
  • Semi-classical and Glauber approximations are commonly used to simplify complex scattering calculations.

Purpose of the Study:

  • To establish the equivalence between semi-classical solutions and the Glauber multiple-scattering series.
  • To investigate the impact of nuclear excited states on scattering amplitudes.

Main Methods:

  • Derivation of coupled-channel equations from Watson's multiple-scattering series.
  • Application of second-order approximations to semi-classical and Glauber amplitudes.
  • Utilizing the Jastrow method to model nuclear two-body density.
Keywords:
NASA Discipline Number 04-10NASA Discipline Radiation HealthNASA Program Biomedical Research

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Main Results:

  • Equivalence shown between semi-classical and Glauber multiple-scattering series.
  • Second-order semi-classical elastic amplitude closely matches the Glauber approximation under specific density assumptions.
  • Average excited-state densities found to have negligible importance in alpha-alpha scattering's double-scattering region.

Conclusions:

  • The study validates the use of semi-classical methods as approximations for Glauber theory in nucleus-nucleus scattering.
  • Simplifying assumptions regarding nuclear excited states are justified for certain scattering regimes.
  • Findings contribute to a more efficient theoretical treatment of nuclear reactions.