Collective excitations and double beta decay in even-even nuclei

我们计划在TDA和RPA中计算双β衰变核矩阵元。结果使我们能够调查的依赖性的核矩阵元素的形状（平衡变形）的核，可以通过衰变。将使用Tübingen VAMPIR方法进行数值计算。这些结果将被应用于研究中微子（狄拉克或马约拉纳中微子）的性质，并找到中微子质量的约束。然后，在计划期间，我们将研究在形变重核中由恢复静态配对场的伽利略不变性的力产生的低位1-偶极激发。如果人们已经可靠地解决了核多体问题，双β衰变可以测试超越电弱和强相互作用标准模型的新物理。

We plan to calculate the double beta decay nuclear matrix elements in TDA und RPA. The results enable us to investigate the dependence of the nuclear matrix elements on the shapes (equilibrium deformation) of the nuclei which can undergo by decay. The numerical calculations will be performed using the Tübingen VAMPIR approach. The results will be applied to investigate the nature of the neutrino (Dirac- or Majorana-Neutrino) and to find constraints for the neutrino mass. Then, in the planning period, we will investigate low-lying 1-dipole excitations generated by forces restoring Galilean invariance of the static pairing field in well deformed heavy nuclei.The double beta-decay can test new physics beyond the standard model of the electroweak and the strong interaction, if one has reliably solved the nuclear many body problem.