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Geometric model for nuclear absorption from microscopic theory

S John1, L W Townsend, J W Wilson

  • 1Vigyan Inc., Hampton, Virginia 23666, USA.

Physical Review. C, Nuclear Physics
|August 1, 1993
PubMed
Summary
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This study presents a new geometric model for nuclear absorption, simplifying calculations for light and heavy nuclei across a wide energy range. The model shows good agreement with experimental data.

Area of Science:

  • Nuclear Physics
  • Theoretical Physics
  • High-Energy Physics

Background:

  • Nuclear absorption cross sections are crucial for understanding nuclear reactions.
  • Existing models often require numerous parameters or are limited in energy range.
  • A parameter-free model derived from microscopic theory is needed.

Purpose of the Study:

  • To derive a parameter-free geometric model for nuclear absorption.
  • To develop an accurate method for calculating absorption cross sections from low to high energies.
  • To provide a simplified geometric form applicable to various nuclei.

Main Methods:

  • Derivation of absorption cross section from microscopic theory using the eikonal approximation.
  • Separation of the cross section into geometric and surface terms.
Keywords:
NASA Discipline Number 45-10NASA Discipline Radiation HealthNASA Program Radiation Health

Related Experiment Videos

  • Utilizing harmonic-oscillator and Woods-Saxon nuclear density functions for effective radius calculations.
  • Incorporation of Coulomb corrections.

    • Main Results:

    • A parameter-free geometric model for nuclear absorption was successfully derived.
    • An energy-dependent effective radius was determined.
    • The model accurately describes collisions for both light and heavy nuclei.
    • Results show good agreement with experimental data from 1 MeV/nucleon to 1 GeV/nucleon.

    Conclusions:

    • The developed geometric model offers a simplified and accurate approach to nuclear absorption.
    • The parameter-free nature enhances its applicability and reduces reliance on empirical fitting.
    • This model provides a valuable tool for nuclear reaction studies across a broad energy spectrum.