  It is recognized that in the family of heavy charged particle and electron
assisted double nuclear processes resonance-like behavior can appear. The
transition rates of the heavy particle assisted 3rd-order and electron assisted
4th-order resonance like double nuclear processes are determined. The power of
low energy nuclear reactions in $Ni-H$ systems formed in $Ni$ placed in $H_{2}$
gas environment is treated. Nuclear power produced by quasi-resonant electron
assisted double nuclear processes in these $Ni-H$ systems is calculated. The
power obtained tallies with experiments and its magnitude is considerable for
practical applications.
