  The puzzle remains in the large discrepancy between neutron lifetime measured
by the two distinct experimental approaches -- counts of beta decays in a
neutron beam and storage of ultracold neutrons in a potential trap, namely, the
beam method versus the bottle method. In this paper, we propose a new
experiment to measure the neutron lifetime in a cold neutron beam with a
sensitivity goal of 0.1% or sub-1 second. The neutron beta decays will be
counted in a superfluid helium-4 scintillation detector at 0.5 K, and the
neutron flux will be simultaneously monitored by the helium-3 captures in the
same volume. The cold neutron beam must be of wavelength $\lambda>16.5$ A to
eliminate scattering with superfluid helium. A new precise measurement of
neutron lifetime with the beam method of unique inherent systematic effects
will greatly advance in resolving the puzzle.
