In 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 Schrodinger 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 advantages of unified treatment of the structure and nuclear dynamics and of emphasis on the more essential mathematical steps. Additionally, the treatment of the decay rates for radioactive states associated with resonances in deformed field is more general and inherently less dependent on arbitrary assumptions than other available R-matrix treatments.
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