Within the framework of resonance fusion study in stellar matter the features of n, α, α -system have been investigated at astrophysical energies. Consideration of three body scattering has been carried out on base of well-known Faddeev's equations.It is found that under certain conditions the series of resonance states appear in n, α, α system at very low energies (∼ keV ). The lifetimes of these three body resonances are close to the lifetime of unstable nucleus 8 Be.The ground state of α, α -system is regarded as very narrow resonance with the energy ∼ 92 keV and the width ∼ 6.8 eV. The simple forms of two body repulsive potentials are taken into account to describe the parameters of the α, α -resonance and to satisfy n, α scattering data at very low energies.The explanation of resonance phenomena in n, α, α -system is offered on base of physical model. The effect results from resonance quantum phenomena in few body dynamics.In turn, the resonance fusion can give influence on many astrophysical phenomena. The possibility of catalyzing this new mode of fusion by free neutrons in α-particle matter is considered too in present exposal.