  Forces with a large radius of interaction can have a significant impact on
the equation of state of matter. Low-mass neutrinos generate a long-range
potential due to the exchange of neutrino pairs. We discuss a possible
relationship between the neutrino masses, which determine the interaction
radius of the neutrino-pair exchange potential, and the equation of state of
neutron matter. Contrary to previous statements, the thermodynamic potential,
when decomposed into the number of neutrino interactions, vanishes in any
decomposition order, except for the interaction of two neutrons. In the
one-loop approximation, long-range multiparticle neutrino interactions are
stable in the infrared region for all neutrino masses and do not affect the
equation of state of neutron matter or the stability of neutron stars.
