|
Journal of Physical Studies 4(4), 387–390 (2000)
DOI: https://doi.org/10.30970/jps.04.387 THE INVESTIGATION OF THE DECAY EVOLUTION AND LIFETIMES OF RADIOACTIVE NUCLEIN. L. Doroshko, M. E. Dolinska
Institute for Nuclear Research, National Academy
of Sciences of Ukraine, |
 |
The quantum-mechanical method which was proposed earlier for the theoretical description of the resonance scattering of the $γ$-quantum was generalized taking into account the Doppler effect. A new algorithm for the definition of the characteristic functions for the energy distribution, decay probability and decay functions was elaborated. It gives a possibility estimating of more precise the temporary characteristics of the nuclei-chronometers and defining the number of the steps of the $γ$-absorption $γ$-emission in the decay process. The calculations have been done for the concrete case of exited $Fe^{57}$ nuclei decay at room temperature taking into account the Doppler effect and also independently of the said effect.
It gives the quantum-mechanical grounding for the revision of the temporary characteristics of the nuclei-chronometers. It is shown that the methods of the nuclear chronometry have to be revised and corrected taking into account distinctions between lifetimes of the ground and excited states for radioactive nuclei and also the multiple alternations of $γ$-emission from excited states and consequent $γ$-absorptions by the ground states in large jams of matter. As a result the corrected ‟nuclear clocks” will fall short in terms of their duration of the real decay processes.
PACS number(s): 03.65.Bz; 03.65.Ge; 03.50.De