High-energy approximations to nuclear scattering

We study high-energy approximations to nuclear scattering. These are based on expansions of the free-particle propagator. We distinguish the eikonal expansion and the Fresnel expansion and interpret their physical meaning in optical terms. A "Fresnel approximation" is defined as a partial sum of the eikonal expansion which describes Fresnel diffraction effects. In Fresnel approximation we derive, by means of a unitary transformation, a closed representation of the scattering amplitude which is formally similar to the corresponding expression irt Glauber's high-energy scattering theory. The corrections to the Glauber model of first order in the reciprocal wave number are given by the second-order eikbnal approximation. These are evaluated explicitly for high energy elastic scattering of protons from light nuclei (⁴He, ¹²C, ¹⁶O).

Grantor dc:publisher.institution

Department of Physics

Year dc:date.issued

1973

Author dc:creator

• Schürmann, Bernd

Advisor dc:contributor.advisor

• Frahn, W E

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/17740

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/17740