The effective range expansion is used to obtain a model-independent de
scription of dt and d(3)He systems in the vicinity of the low-energy r
esonances He-5(3/2(+)) and Li-5* (3/2(+)). The Coulomb-modified nucle
ar scattering lengths a(cs) and effective ranges r(cs) with angular mo
mentum l = 0 as well as the astrophysical function s(E) are calculated
from the modern experimental data for cross sections of the dt --> na
and d(3)He --> p alpha per fusion reactions in the vicinity of the re
sonances. To this end the generalization of the Smorodinsky formula fo
r effective range to the case of potentials with the Coulomb barrier,
as well as the phase analysis of the elastic n alpha-scattering near t
he resonance He-5 (3/2(+)), are essentially used. The analytical stru
cture of the scattering amplitudes in presence of absorption in the sy
stem is studied. Two series of the Coulomb poles of the dt-scattering
amplitude in the complex k-plane, condensing to the elastic threshold,
are found.