Using the neutrino oscillations and neutrinoless double beta decay experimental data we reconstructed an upper limit for the three generation neutrino mass matrix. We compared this matrix with the predictions of the minimal supersymmetric(SUSY) model with R-parity violation(R p / ) and extracted stringent limits on trilinear R p / coupling constants λ i33 , λ ′ i33 . Introducing an additional U (1) X flavor symmetry which had been successful in explaining the mass hierarchy of quarks and charged leptons we were able to relate various R p / parameters. In this model we found a unique scenario for the neutrino masses and the R p / couplings compatible with the neutrino oscillation data. Then we derived predictions for certain experimentally interesting observables. * oliver.haug@uni-tuebingen.de
A solvable Hamiltonian is treated within a time-dependent
variational approach using four different
variational states. One description is equivalent to the
pnQRPA approach, while another one describes a new proton-neutron
collective mode which is associated with a new phase of the nuclear
system.
The transition from one solution to the other
is achieved through a Goldstone mode.
For the quantized ground and first excited states the quasi-particle
correlations, the Fermi β- and β+ transition amplitude and
the
Ikeda sum rule have been calculated. Two of the variational states
are similar to the standard pnQRPA vacuum and are used to calculate
the second excited states.
We study the special features emerging from a three lepton generation analysis of the available neutrino oscillation data (solar, atmospheric and LSND). First we find that it is possible to explain all three sets of data in terms of the standard left handed neutrinos without the need of sterile neutrinos.Second we find a significant difference in the mass matrix extracted from the data, depending on the analysis (without or with LSND), if the mass of the lightest neutrino, which cannot be determined from the neutrino oscillation data alone, is relatively small, i.e ≤0.1 eV. To compare with other processes we used the R-parity violating Minimal Supersymmetric Standard Model (R p / -MSSM) for the theoretical description of the neutrino masses. Using the oscillation data we were able to constrain the parameters of the model. In particular we were able to obtain values for the coupling constants of the R p / -MSSM.
PACS number(s):{}Searches for neutrino masses have intensively been performed during the last decades.But till now no evidence for massive neutrinos was found in experiments aiming to measure the mass directly, but only upper limits were set as follows [1]On the other hand some hints for massive neutrinos have been seen more than 30 years ago in experiments measuring the electron neutrino flux coming from the sun [2]. In these experiments the flux of ν e coming from the sun to the earth was found to be much smaller
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