Si. Bastrukov et al., MACROSCOPIC CALCULUS FOR THE FISSION BARRIER HEIGHT OF SUPERHEAVY ELEMENTS, Journal of physics. G, Nuclear and particle physics, 24(1), 1998, pp. 1-7
The stability of superheavy elements is discussed in the context of ma
croscopic features of continuous nuclear matter. An elastodynamic meth
od is proposed to compute a regular (macroscopic) part of the potentia
l-energy profile in the direction of quadrupole coordinate of symmetri
c fission. The distinguishing feature of this method is that the kinem
atics of nuclear deformation resulting in fission is described in term
s of distortions of an elastic sphere and the dynamics is thought of a
s an adiabatic process dominated by disruptive elastic distortions cau
sed by the volume Coulomb repulsion and cohesive surface elastic stres
ses of nuclear origin. The input parameters of the method are paramete
rs of the nuclear binding energy, established in the macroscopic-micro
scopic theory of nuclear masses. From the elastic-globe model develope
d it follows that the magnitude of the macroscopic fission-barrier hei
ght for heaviest and superheavy elements with 104 less than or equal t
o Z less than or equal to 116 is expected to fall into the interval 2.
5 less than or equal to Br less than or equal to 0.6, respectively.