Geometric model for nuclear absorption from microscopic theory

Details Geometric model for nuclear absorption from microscopic theory Geometric model for nuclear absorption from microscopic theory

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvc..48..766j&link_type=abstract

Physical Review C - Nuclear Physics, 3rd Series (ISSN 0556-2813), vol. 48, no. 2, p. 766-773.

Physics

Nuclear Physics

8

Absorption Cross Sections, Eikonal Equation, Many Body Problem, Particle Collisions, Quantum Theory, Asymptotic Methods, Density (Mass/Volume), Geometry, Harmonic Oscillators, Phase Shift, Nuclear Reaction Models And Methods, Nucleon-Induced Reactions, Elementary Particle Processes

Scientific paper

A parameter-free geometric model for nuclear absorption is derived from microscopic theory. The expression for the absorption cross section in the eikonal approximation taken in integral form is separated into a geometric contribution, described by an energy-dependent effective radius, and two surface terms which are shown to cancel in an asymptotic series expansion. For collisions of light nuclei, an expression for the effective radius is derived using harmonic-oscillator nuclear density functions. A direct extension to heavy nuclei with Woods-Saxon densities is made by identifying the equivalent half density radius for the harmonic-oscillator functions. Coulomb corrections are incorporated and a simplified geometric form of the Bradt-Peters type obtained. Results spanning the energy range of 1 MeV/nucleon to 1 GeV/nucleon are presented. Good agreement with experimental results are obtained.

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