In a recent paper [Phys. Rev. C 83, 044612 (2011)] we proposed a model for calculating cross sections of various reaction products which arise from disintegration of projectile-like fragments resulting from heavy-ion collisions at intermediate or higher energy. The model has three parts: (1) abrasion, (2) disintegration of the hot abraded projectile-like fragment (PLF) into nucleons and primary composites using a model of equilibrium statistical mechanics, and (3) possible evaporation of hot primary composites. It was assumed that the PLF resulting from abrasion has one temperature $T$. Data suggested that, while just one value of $T$ seemed adequate for most cross-section calculations, a single value failed when dealing with very peripheral collisions. We have now introduced a variable $T=T\left(b\right)$ where $b$ is the impact parameter of the collision. We argue that there are data which not only show that $T$ must be a function of $b$ but, in addition, also point to an approximate value of $T$ for a given $b$. We propose a very simple formula: $T\left(b\right)=D_0+D_1[A_s\left(b\right)/A_0]$ where $A_s\left(b\right)$ is the mass of the abraded PLF and $A_0$ is the mass of the projectile; $D_0$ and $D_1$ are constants. Using this model we compute cross sections for several collisions and compare with data.

• Received 29 August 2011

DOI:https://doi.org/10.1103/PhysRevC.84.054612