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Summary, conclusions, and outlook

By exploiting the freedom in the Skyrme energy functional, we have taken significant steps towards a fully self-consistent description of nuclear ground states and the GT response. Along the way, we debunked the notion that the strength and location of the GT resonance in finite nuclei is determined entirely by the Landau parameter g0'. Our analysis also shows this parameter to be smaller than previous work indicates.

There are not enough experimental data for spherical even-even nuclei to fix the time-odd isovector coupling constants; the ability to do calculations in deformed nuclei should help there. We could, however, choose values that reproduce the data we do analyze, without spoiling our description of high-spin superdeformation. Doing a lot better may require improving our time-even energy functionals. GT resonance energies and strengths depend significantly on spin-orbit splitting as well as the residual spin-isospin interaction. Until we are better able to reproduce single-particle energies, therefore, a fit of the time-odd interaction will be tentative.

We have not considered isoscalar time-odd interactions. The couplings there will be harder to fix because there are fewer data on the response, which is not as collective as in the charge-exchange channel. In addition, the isovector time-odd terms will play a role in calculations of isoscalar observables. Though a lot clearly remains to be done, our work can already be put to good use. We will, for example, employ the new values for the isovector time-odd coupling constants in future calculations of beta decay and in the observables that tell us about the extent of real time-reversal violation in nuclei. This work was supported in part by the U.S. Department of Energy under Contract Nos. DE-FG02-96ER40963 (University of Tennessee), DE-FG02-97ER41019 (University of North Carolina), DE-AC05-00OR22725 with UT-Battelle, LLC (Oak Ridge National Laboratory), DE-FG05-87ER40361 (Joint Institute for Heavy Ion Research), by the Polish Committee for Scientific Research (KBN) under Contract No. 5 P03B 014 21, and by the Wallonie/Brussels-Poland integrated actions program. We thank the Institute for Nuclear Theory at the University of Washington for its hospitality during the completion of this work.


next up previous
Next: Local Densities and Currents Up: Gamow-Teller strength and the Previous: A consistency check: Superdeformed
Jacek Dobaczewski
2002-03-15