By A A Raduta; et al
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Additional resources for Collective motion and phase transitions in nuclear systems : proceedings of the Predeal International Summer School in Nuclear Physics, Predeal, Romania, 28 August-9 September 2006
Such a plot is shown in Fig. 6 for the pairs of bands g*, b+,y*. This graph indicates 226Raas the best candidate for a static octupole deformation in all three bands. Since in 218Rathe spectrum in the bands 'g is almost equidistant, the dynamic moment of inertia is very large. Due to this feature, for this case we give, instead, the graph representing the angular momentum as function of the rotational frequency. It is worth noticing that the back and forward bending seen for the experimental energies characterizing the band g', are nicely reproduced by our calculations.
5 * ( N - 2 ) (black square). The obtained values are interpolated by a third order polynomial (full line curve). 5(N - 2 ) in Figs. 2 and 3. The calculated values were interpolated by a smooth curve of a polynomial type. Energies for the partner bands gf and g - , in three isotopes of Ra are represented in Fig. 4. One notes the doublet as well as the interleaved structure of positive and negative parity states. In the formalism described here, the doublets are caused by the small octupole deformation.
The shape is a solution of an Euler-Lagrange equation, derived by solving the variational problem of minimization of the deformation energy. By introducing phenomenological shell corrections one obtains minima of deformation energy at the saddle-point for binary fission of 2309234,238Unuclei at a non-zero mass asymmetry. Ternary, quaternary, and multicluster fission is also discussed. Keywords: Cold binary fission; Ternary fission; Quaternary fission; Multicluster fission; Saddle point shapes; Variational method.