Alpha lifetimes of the superheavy nuclei

In the present work we propose an approach to reduce the problem of particle emission rates of spheroidal nuclei to the solution of homogeneous and inhomogeneous systems of coupled differential equations arising from the Schroedinger equation. We show that some of the previous development in the question carried out so far in the Wigner R-matrix formalism can be restated in a slightly different form within the Feshbach formalism of resonance nuclear reactions which has the advantages of unified treatment of the structure and nuclear dynamics and of emphasis on the more essential mathematical steps. We develop a procedure to iterate the nuclear interaction directly in equations of motion in order to obtain the solution for resonant multichannel decay of radioactive states. We calculate the emission rates and 'fine structure' intensity patterns and confront these results with the data and results of other models. Some predictions are made for the half-lives of possible new deformed superheavy elements. (author)