THE 2-NUCLEON MECHANISM FOR THE NEUTRINOLESS DOUBLE BETA-DECAY AND THE BCS NUCLEAR WAVE-FUNCTION

A method of using the Bardeen-Cooper-Schrieffer (BCS) nuclear wave fun ction to treat the two-nucleon mechanism for neutrinoless double beta decay process 0+ --> 0+ is proposed. The neutrinoless decay mode and t he neutrinoless decay accompanied by a Majoron emission mode of Se-82 are studied. Our calculated results show that to reproduce the experim ental value of tau(0nu) > 1.8 X 10(22) yr for neutrinoless double beta decay of Se-82, the Majorana neutrino mass m(nu) < 6.2 eV and the mix ing parameter of right-handed current eta < 7.0 x 10(-6) In the emissi on with a Majoron mode the effective Majoron coupling to neutrino is d educed from the experimental value of tau(0nu,H) > 4.4 x 10(20) yr for Se-82 with the result (g(H0)) < 6.2 x 10(-4).