Critical Exponents of the Statistical Multifragmentation Model

Abstract

For the statistical multifragmentation model the critical indices $α^\prime, β, γ^\prime, δ$ are calculated as functions of the Fisher parameter $τ$. It is found that these indices have different values than in Fisher's droplet model. Some peculiarities of the scaling relations are discussed. The basic model predicts for the index $τ$ a narrow range of values, $1.799< τ< 1.846$, which is consistent with two experiments on nuclear multifragmentation.

minor changes of the text, four references added