Physics

The nuclear radius formula reveals that nuclei scale with mass number in a very specific way—their size grows as the cube root of the number of nucleons. This relationship comes from the fact that nuclear density is roughly constant across all nuclei, so if you pack more nucleons into a sphere, the radius must expand proportionally to $A^{1/3}$. The constant $R_0$ captures the actual size scale of a single nucleon and is determined experimentally from scattering data.

The nuclear radius formula reveals that nuclei scale with mass number in a very specific way—their size grows as the cube root of the number of nucleons. This relationship comes from the fact that nuclear density is roughly constant across all nuclei, so if you pack more nucleons into a sphere, the radius must expand proportionally to $A^{1/3}$. The constant $R_0$ captures the actual size scale of a single nucleon and is determined experimentally from scattering data.