Neutrino spin-flavor conversions and (nu)over-bar(e) emission from the sunwith random magnetic field

The magnetic field in the solar convective zone has a random small-scale co mponent with the r.m.s. value substancially exceeding the strength of a reg ular large-scale field. For two Majorana neutrino flavors x two helicities in the presence of a neutrino transition magnetic moment and nonzero neutri no mixing we analize the displacement of the allowed (Delta m(2) - sin(2) 2 theta)-parameter region reconciled for all Underground experiments with so lar neutrinos in dependence on the r.m.s. magnetic field value b. In contra ry with the RSFP scenario with a regular large-scale magnetic field, we fin d an effective production of electron antineutrinos in the Sun even for sma ll neutrino mixing through the cascade conversions like v(eL) --> (v) over bar(mu R) --> (v) over bar(eR). It was found that usual SMA and LMA MSW par ameter regions maybe forbidden while opening LOW MSW as the allowed one fro m the non-observation of (v) over bar(eR) in the SK experiment if random ma gnetic fields have strengths b greater than or equal to 100 kG and correlat ion lengths shorter than L-0 less than or equal to 1000 km.