The process where the foreign DNA is attached to the plasmid DNA is known as ligation.
Explanation:
Ligation is the process of joining two elements of a molecule by making a bond between the electron donor and the electron acceptor. DNA ligase is an enzyme that helps in the three following processes involving the DNA:
It helps in DNA repair, in connecting the fragments of okazaki DNA and it is also used to connect the gene of interest to the plasmid DNA to create a vector during genetic recombination.