Strong absorption model and its associated potential

Abstract

Using the example of ' C-Pb elastic scattering at El,b --1449 MeV it is shown that, at sufficiently high energies, a full quantum mechanical inversion of heavy-ion scattering data can be performed.Furthermore it is pointed out that the strong absorption model as parametrixed by McIntyre, Wang, and Becker is associated with a potential having strong repulsion at the origin.That repulsion is a remnant of the built-in point Coulomb S matrix. Finally, a systematic study is presented to define the necessary accuracy of experiment required to extend the knowledge of the nucleus-nucleus interaction to smaller radii. PACS number(s): 25.70.Bc, 24. 10.i

Quantal inversion of the cross section for the elastic scattering of 200 MeV protons fromC12

“…Of the latter, the Lipperheide-Fiedeldey (LF) type [1] are of particular interest, and they have been used quite extensively in recent years to analyze the elastic scattering cross sections from the scattering of two nuclei. The attendant 6ts to measured data in those cases were usually an order of magnitude better than any obtained by direct methods of analyses [2].…”

“…Extension to a class of nonrational S functions has also been achieved [1] and a "mixed" method [7], which employs a product of rational and nonrational S functions, has been used in applications as well [2]. where g is the Sommerfeld parameter, was used.…”

“…Both S functions were obtained assuming a rational form for them and varying the parameters therein to 6t the crosssection data directly. Model forms for the "experimental" S function, such as used in past studies of heavy ion collisions [2], have not been considered. The two results were found by using quite different starting conditions in a search upon the (complex) values of a set of five polezero pairs (u",P") that define the rational scattering function.…”