2020 Impact factor 3.043
Hadrons and Nuclei
Eur. Phys. J. A 15, 361-374 (2002)
DOI: 10.1140/epja/i2001-10213-1

Shrinking $\hbar$ as a recipe for revealing classical-like properties of optical-potential cross-sections

R. Anni

Dipartimento di Fisica, Università di Lecce and Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, I-73100 Lecce, Italy

anni@le.infn.it

(Received: 4 September 2001 / Revised version: 25 February 2002 / Published online: 26 November 2002)

Abstract
A simple recipe for revealing classical-like properties of optical-potential cross-sections is proposed. The recipe is based on the fact that the classical properties are not expected to depend on the actual value of $\hbar$. This allows us to identify the classical-like characteristics of an optical-potential cross-section by simply repeating the calculation with different values of $\hbar$, and observing which properties of the cross-section are invariant. The method is applied to the cross-sections of a few optical potentials used to describe the recent data of light heavy-ion elastic scattering. An improved near-side/far-side decomposition is used to separate the near-side and far-side components of the optical-potential cross-sections.

PACS
24.10.Ht - Optical and diffraction models.
25.70.Bc - Elastic and quasielastic scattering.
03.65.Sq - Semiclassical theories and applications.

© Società Italiana di Fisica, Springer-Verlag 2002