Multichannel approach to the Glauber model for heavy-ion collisions

S. M. Lenzi, F. Zardi, and A. Vitturi
Phys. Rev. C 42, 2079 – Published 1 November 1990
PDFExport Citation

Abstract

A formalism is developed in order to describe, within the Glauber model, the scattering processes between heavy ions in situations involving several coupled channels. The approach is based on a suitable truncation of the number of nuclear states which can be excited at each microscopic nucleon-nucleon collision. The set of coupled equations for the S-matrix elements of the conventional reaction theory is replaced by simple matrix relations, only involving the nucleon-nucleon scattering amplitude and the nuclear densities and transition densities. This method avoids the difficulties arising from the combinatorial aspects of the multiple scattering theories, the slow convergence of the series, and the problems of center-of-mass correlations. We discuss some specific examples of multichannel collisions where the multiple-scattering series can be summed to give analytic expressions for the scattering amplitude. We finally explicate the formalism for the perturbative treatment of mutual excitation and charge-exchange processes.

  • Received 5 March 1990

DOI:https://doi.org/10.1103/PhysRevC.42.2079

©1990 American Physical Society

Authors & Affiliations

S. M. Lenzi and F. Zardi

  • Dipartimento di Fisica and Istituto Nazionale di Fisica Nucleare, Padova, Italy

A. Vitturi

  • Dipartimento di Fisica and Istituto Nazionale di Fisica Nucleare, Trento, Italy

References (Subscription Required)

Click to Expand
Issue

Vol. 42, Iss. 5 — November 1990

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review C

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×