  The radiative neutron capture reaction rates have been studied at very low
energies which are of interest for nuclear astrophysics. The rates for many of
these reactions have remained independent of temperature so far. The
temperature dependence of the thermonuclear reaction rates have been explored
within the statistical model. Apart from the compound nuclear contribution, the
pre-equilibrium as well as the direct effects have been taken into account. The
corresponding Maxwellian-averaged thermonuclear reaction rates of relevance in
astrophysical plasmas at temperatures in the range from 10$^6$ K to 10$^{10}$ K
have been calculated. Analytical expression as a function of $T_9$ has been
provided for $^6$Li(n,$\gamma$)$^7$Li by fitting the calculated reaction rate.
