If a father does not want to have a legal claim over their child, they may consider signing over their rights. This can allow for a number of legal moves to be made, including the adoption of the father’s paternal rights by another individual.
Signing away parental rights does not immediately exclude a father from responsibility for their child. For example, signing away paternal rights does not remove the obligation of paying child support. The only thing that can remove the obligation of paying child support is for the children to turn 18 or for another adult to adopt the child. Signing away parental rights also does not mean that the father must stop interacting with their children, it just means that they legally can’t force the other parent to allow them time with their children.