analysis of the bremsstrahlung spectra to “measure” dynamics of the $\alpha$-decay (perhaps, in its first stage), to estimate duration of tunneling of the $\alpha$-particle through barrier.

Many approaches for description of the bremsstrahlung emission during the $\alpha$-decay have already been developed where models with semiclassical spherically symmetric description of the $\alpha$-decay are prevailing (see [@Dyakonov.1996.PRLTA; @Dyakonov.1999.PHRVA; @Bertulani.1999.PHRVA; @Takigawa.1999.PHRVA], also calculations of the spectra see in [@Kasagi.1997.JPHGB]). In comparison with fully quantum approach, the semiclassical one allows to work with characteristics and parameters, physical sense of which is natural that simplifies this task, allowing to understand studied questions easier. Enough well description of experimental data has already been achieved in such approach, where one can note a resent success in agreement between theory and experiment for the controversial nucleus $^{210}{\rm Po}$ [@Boie.2007.PRL; @Jentschura.2008.PRC]. Perspectives are certain in study of dynamics of the $\alpha$-decay with some analysis of the bremsstrahlung [@Bertulani.1999.PHRVA; @Misicu.2001.JPHGB; @Dijk.2003.FBSSE], in study of dynamics of tunneling in the $\alpha$-decay [@Serot.1994.NUPHA; @Dijk.1999.PRLTA; @Dijk.2002.PHRVA; @Ivlev.2004.PHRVA], in research of peculiarities of the polarized bremsstrahlung during $\alpha$-decay and influence of electron shells on it [@Amusia.2007.JETP], in effect [@Flambaum.1999.PRLTA] called as *Münchhausen effect* which increases penetrability of the barrier due to charged-particle emission during 