Multipolar correlations and deformation effect on nuclear transition matrix elements of double-$β$ decay

Details Multipolar correlations and deformation effect on nuclear transition matrix elements of double-$β$ decay Multipolar correlations and deformation effect on nuclear transition matrix elements of double-$β$ decay

2009-02-04

arxiv.org/abs/0902.0658v3

Europhys.Lett.86:32001,2009

Physics

Nuclear Physics

Nuclear Theory

6 pages, 2 figures

Scientific paper

10.1209/0295-5075/86/32001

The two neutrino and neutrinoless double beta decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes for the $0^{+}\to 0^{+}$ transition is studied within the PHFB framework along with an effective two-body interaction consisting of pairing, quadrupole-quadrupole and hexadecapole-hexadecapole correlations. It is found that the effect of hexadecapolar correlations can be assimilated substantially as a renormalization of the quadrupole-quadrupole interaction. The effect of deformation on nuclear transition matrix elements is investigated by varying the strength of quadrupolar correlations in the parent and daughter nuclei independently. The variation of the nuclear transition matrix elements as a function of the difference in deformation parameters of parent and daughter nuclei reveals that in general, the former tend to be maximum for equal deformation and they decrease as the difference in deformation parameters increases, exhibiting a very similar trend for the $(\beta^{-}\beta ^{-})_{2\nu}$ and $(\beta^{-}\beta ^{-})_{0\nu}$ transition matrix elements.

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