  The $^6$Li(n,$\gamma$)$^7$Li cross sections in the neutron energy range of
0.6 to 4 MeV have been measured by the experimental implementation of the
direct capture formalism. This was done by measuring the $\gamma$ transition
probability experimentally and accounting for the spin factor by theoretical
calculation. The electromagnetic transition probabilities from $^7$Li$^*$
analogous to the initial neutron capture states of $^6$Li$+n$ were measured by
populating the J$_i$ states of $^7$Li through $^7$Li($p,p'$)$^7$Li$^*$
reaction. The impact of coupling of resonant states, above neutron separation
threshold of $^7$Li, in the neutron capture, is observed from the capture
$\gamma$ spectrum. The measured cross sections were reproduced through {\sc
fresco} and Talys-1.95 Direct Capture Calculations.
