This force is called the nuclear force. This force is also called the strong force . Beyond this range, the force rapidly falls off to zero. Also this force is independent of charge and acts on both the protons and neutrons equally. Thus the nuclear force is strong and short range.
Table below gives the relative strengths of the different forces or force field.
There is a fourth force in nature called the weak force. It is at least a billion times weaker than the nuclear force and is observed only in a beta decay of radioactive nuclei. Both gravitational and electromagnetic forces are long range forces, but the nuclear and weak forces are short range forces.