  This article contains a discussion in which we showed that observation of
splitting in the energy levels of prolate nuclei, is possible. Similar effects
is atomic physics is known as Zeeman effect which is well-known, but in nuclear
physics such topic has not been discussed and mentioned if it is possible or is
not. In this article, after introducing deformation in commutation relation in
three dimensional, these relations has been used in X(3) model. After enough
derivation, we evaluate energy spectrum relation for considered system which
has splitting. Because of considerations during the derivation, we'd like to
call such effect as ultra fine structures in energy levels. At the end some
plots have been depicted which illustrate the results.
