  The neutron lifetime is determined for now most accurately by two methods
--the so-called "beam method" and the method of neutron storage in a trap. The
goal of this research is to obtain the neutron lifetime with a higher precision
by eliminating the traditional systematic errors. A new feature is extracting
the neutron lifetime only from the set of electron counting rates with their
errors. The newly received neutron lifetime value is $$
\tau_{NT}=883.31\pm0.02(stat.)\pm0.02(sys.) \quad \mbox{s.} $$ The obtained
neutron lifetime is the weighted average of two lifetimes, defined for
different subsets of neutrons providing the well-known effect of the asymmetry
in the neutron $\beta$-decay. Simple calculations predict the values of these
lifetimes and show their correspondence to the known asymmetry parameters of
neutron decay. The arithmetic mean (central) value for the two newly introduced
neutron lifetimes was determined. The resulting weighted value $\tau_{NT}$ is
in a good agreement with the lifetimes in the first and second methods in
limits of their double errors, but exceeds them significantly in precision. In
addition, estimates of the new lifetimes, which are called here as $L$-neutron
lifetime and $R$-neutron lifetime, are fulfilled. The estimation results
correspond to the known parameters of the neutron decay asymmetry.
\keywords{neutron \and decay \and channel \and lifetime \and electron \and
trap} \PACS{06.30.-k \and 12.90+b \and 13.30Ce \and 14.20.Dh \and 28.20-V \and
29.40 Cs}
