  Various theories have predicted the deep Dirac levels (DDLs) in atoms for
many years. However, the existence of the DDL is still under debating, and need
to be confirmed experimentally. With the development of high intensive lasers,
nowadays, electrons can been accelerated to relativistic energy by high
intensive lasers, electron-positron pairs can be created, and nuclear reactions
can been ignited, which provide a new tool to explore the DDL related fields.
In this paper, we propose a new experimental method to study the DDL levels by
monitoring nuclei's orbital electron capture life time in plasma induced by
high intensive lasers. If a DDL exists, a nuclear electron capture rate could
be enhanced by factor of over $10^7$, which makes it practically detectable in
nowadays high intensive laser environments.
