  Nuclear matrix elements (NMEs) for two neutrino double beta decays are
discussed in terms of the Fermi Surface Quasi-Particle (FSQP) Model. The
evaluated NMEs agree with the observed NMEs . The new NMEs for two neutrino
double beta decays from Kr78, Cd106, Ba130, and Pd110 were evaluated by FSQP.
The NMEs show shell configuration dependence. Impacts of the FSQP NMEs for two
neutrino double beta decays on the NMEs for neutrino less double beta decays
are discussed.
