Total inclusive neutron cross sections and multiplicities in nucleus-nucleus collisions at intermediate energies

The total integrated inclusive cross section, $\sigma (T<\mathrm{}{T}_0)$, for the emission of neutrons above an energy $T_0$ by neon ions with an average energy of 337 MeV per nucleon reacting in targets of uranium, copper, aluminum, and carbon is described by ${\overline{\sigma }}_{\mathrm{NN}}{\left(\frac{{\overline{R}}_G}{r_0}\right)}^{\alpha \left(T_0\right)}$. Here ${\overline{\sigma }}_{\mathrm{NN}}$ is the isospin-averaged nucleon-nucleon cross section evaluated at an energy equal to the bombarding energy per nucleon, and ${\overline{R}}_G$ is the arithmetic mean value of the radii of the projectile and the target measured in units of the radius parameter $r_0(=1.2\mathrm{} \mathrm{fm})$. In the limit $T_0=0\mathrm{}$, the exponent $\alpha \left(T_0\right)=5\mathrm{}$. A useful formula is derived for calculating mean neutron multiplicities in nucleus-nucleus collisions.