Gamow-Teller strength and the spin-isospin coupling constants
of the Skyrme energy functional

M. Bender,^1-4 J. Dobaczewski,^5,6 J. Engel,³ W. Nazarewicz^1,2,5
1Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996
²Physics Division, Oak Ridge National Laboratory, P. O. Box 2008, Oak Ridge, Tennessee 37831
³Department of Physics and Astronomy, The University of North Carolina, Chapel Hill, NC 27599
⁴Service de Physique Nucléaire Théorique, Université Libre de Bruxelles, CP 229, B-1050 Bruxelles, Belgium
⁵Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00681, Warsaw, Poland
⁶Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831

Abstract:

We investigate the effects of the spin-isospin channel of the Skyrme energy functional on predictions for Gamow-Teller distributions and superdeformed rotational bands. We use the generalized Skyrme interaction SkO' to describe even-even ground states and then analyze the effects of time-odd spin-isospin couplings, first term by term and then together via linear regression. Some terms affect the strength and energy of the Gamow-Teller resonance in finite nuclei without altering the Landau parameter g₀' that to leading order determines spin-isospin properties of nuclear matter. Though the existing data are not sufficient to uniquely determine all the spin-isospin couplings, we are able to fit them locally. Altering these coupling constants does not change the quality with which the Skyrme functional describes rotational bands.

21.30.Fe 21.60.Jz