Pictures of quantum nuclear rotation beyond the correspondence principle

R. Arvieu; P. Rozmej

EPJ

R. Arvieu¹ - P. Rozmej^2,3

¹ Institut des Sciences Nucléaires, 53 av. des Martyrs, F-38026 Grenoble, Cedex, France (e-mail: arvieu@isn.in2p3.fr)
² Theoretical Physics Department, University Maria Curie-Sk $\l$ odowska, PL-20031 Lublin, Poland (e-mail: rozmej@tytan.umcs.lublin.pl)
³ Gesellschaft für Schwerionenforschung mbH, Planckstrasse 1, D-64291 Darmstadt, Germany (e-mail: p.rozmej@gsi.de)

Received: 18 November 1998 / Revised version: 1 April 1999 Communicated by W. Weise

Abstract
We analyze the time evolution of simple nuclear rotational wave packets (WP) called circular, linear or elliptic, depending on squeezing parameter $\eta$ , assuming that $E=\hbar\omega_0\, I(I+1)$ .The scenario of fractional revivals found by Averbukh and Perelman is adapted to symmetric WP and compared to that which holds for asymmetric WP. In both cases various shapes are identified under these lines in particular many cases of cloning. `Mutants' WP are found most often. Finally the time evolution of a WP formed by Coulomb excitation on ²³⁸U and calculated by semiclassical theory is also presented.

PACS
03.65.Sq Semiclassical theories and applications - 03.65.Ge Solutions of wave equations: bound states - 21.10.Re Collective levels