Eur. Phys. J. A (2004) 19: 33-44
https://doi.org/10.1140/epja/i2003-10111-6

Cranking in isospace

¹ Institute of Theoretical Physics, University of Warsaw, ul. Hoża 69, PL-00 681, Warsaw, Poland
² KTH (Royal Institute of Technology), AlbaNova University Center, 106 91, Stockholm, Sweden
³ Department of Physics, University of Tennessee, TN 37996, Knoxville, USA
⁴ Joint Institute for Heavy Ion Research, P.O. Box 2008, MS6374, TN 37831, Oak Ridge, USA

^* e-mail: satula@fuw.edu.pl

Abstract

The response of isovector and isoscalar pair fields to generalized rotation in isospace is studied. Analytical expressions for constant gap solutions for different limiting cases of the model are derived. In particular, the connections between gauge angles among pairing gaps and the position of the iso-cranking axis are investigated in N = Z nuclei. The two domains of collective and noncollective rotation in space are generalized to isospace. The amplitudes for pair-transfer of T = 0 and T = 1 pairs are calculated. It is shown that the structure of the T = 0 state in odd-odd nuclei prevents any enhancement of pair transfer also in the presence of strong isoscalar pairing correlations. The energy differences of the T = 0 and T = 1 excitations in odd-odd nuclei are qualitatively reproduced by Total-Routhian-Surface calculations.