Abstrakt: | It is very well known that the 42V-nuclei have relatively high stability. In the region
of nuclear masses of A < 40, the doubly magic nuclei are only the 42V-ones (4He, ieO,
and 40Ca) and 4iV-nuclei have also completely filled subshells as lp3/2 (12C), ld5,2 (28Si),
and 2 s 1/2 (32S). In the framework of the classical a-particle model [9], it is assumed that
the internal a-particles are harmonically bound in a semirigid molecule structure since the
binding energy of a-particles in the nucleus per the number of bonds between the a-particles
is almost the same for all 4/V-nuclei, except of the 8Be nucleus which is unstable. Thus,
the 4iV-nuclei are in a way distinguished from the others. To investigate the properties
of the nuclear matter it would be helpful to classify the nuclei of A < 40 similarly to the
42V-ones, namely, as the excess and hole 4iV-nuclei, which are defined as the 47V-ones with
one excess nucleon and one nucleon hole, respectively. To justify this classification of nuclei
the binding energy as a function of the number of nucleons beyond the magic shells should
be investigated. For these groups of nuclei the straightforward dependences of the energy,
and half life of the p-decay were theoretically discussed in Ref. [3]. The conclusion can be
drawn from Ref. [3] that the specific properties of the nuclear matter can then be found.
In this paper, the shapes of given groups of nuclei are theoretically investigated in terms
of the quadrupole deformation parameter p. To obtain the relations between quadrupole
deformation parameters p for the given group of nuclei the angular frequency for the single
particle motion in the deformed potential well and the potential energy of the deformation
should be considered. |