  Coupled channels calculations are performed for the 12C(d,p)13C and
13C(p,d)12C reactions between 7 and 60 MeV to study the effect of inelastic
couplings in transfer reactions. The effect of treating transfer beyond Born
approximation is also addressed. The coupling to the 12C 2+ state is found to
change the peak cross-section by up to 15 %. Effects beyond Born approximation
lead to a significant renormalization of the cross-sections, between 5 and 10 %
for deuteron energies above 10 MeV, and larger than 10 % for lower energies. We
also performed calculations including the remnant term in the transfer
operator, which has a small impact on the 12C(d,p)13C(g.s.) and
13C(p,d)12C(g.s.) reactions. Above 30 MeV deuteron energy, the effect of the
remnant term is larger than 10 % for the 12C(d,p)13C(3.09 MeV) reaction and is
found to increase with decreasing neutron separation energy for the 3.09 MeV
state of 13C. This is of importance for transfer reactions with weakly bound
nuclei.
