We derive quasiclassical expressions for the three-body decay width and define the “preexponential” coefficients for them. The derivation is based on the integral formulas for the three-body width obtained in the semianalytical approach with simplified three-body Hamiltonian [L.V. Grigorenko and M.V. Zhukov, Phys. Rev. C 76, 014008 (2007)]. The model is applied to the decays of the first excited $3/2^{-}$ state of ${}^{17}\mathrm{Ne}$ and the $3/2^{-}$ ground state of ${}^{45}\mathrm{Fe}$. Various qualitative aspects of the model and relations with the other simplified approaches to the three-body decays are discussed.

• Received 10 April 2007

DOI:https://doi.org/10.1103/PhysRevC.76.014009