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

Abstract

The total integrated inclusive cross section, $\ensuremath{\sigma}(T<{T}_{0})$, 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 ${\overline{\ensuremath{\sigma}}}_{\mathrm{NN}}{(\frac{{\overline{R}}_{G}}{{r}_{0}})}^{\ensuremath{\alpha}({T}_{0})}$. Here ${\overline{\ensuremath{\sigma}}}_{\mathrm{NN}}$ 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 ${r}_{0}(=1.2 \mathrm{fm})$. In the limit ${T}_{0}=0$, the exponent $\ensuremath{\alpha}({T}_{0})=5$. A useful formula is derived for calculating mean neutron multiplicities in nucleus-nucleus collisions.NUCLEAR REACTIONS C, Al, Cu, $\mathrm{U}(\mathrm{N}\mathrm{e},\mathrm{n})X$, $E=337$ MeV/nucleon. Total inclusive neutron cross sections and mean multiplicities represented by simple one-parameter formulae. Compared results with predictions of the participantspectator model.