What are children born of the same father but different mothers to each other?

Generally no, but New Jersey has no law restricting it.

Since the father and mother each contribute half (23 chromosomes) of the genetic material needed to form a child (46 chromosomes), the brother and sister are equal in terms of biological similarity,...

that would be a half broher a half-brother

A woman in Russia gave birth to 69 children.

Children from the same mother and father will always look different from one another, unless they are identical twins. If they did not, you would never be able to tell two brothers or two sisters...