A ≈ 80 and A ≈ 100 Nuclei Studied Within the Mean Field Approach

Nuclear Shapes in Mean Field Theory

“…(:32 206,389,440). These results thus provide a remarkable example of the pairing isomerism phenomenon.…”

“…The calculations based on several variants of the shell correction method (123,124,126,206,285,324,364,395,(424)(425)(426)(427)(428) and HF approach (74,429) show the great sensitivity of the model predictions, especially for tran sitional nuclei such as 96,98Zr. The onset of quadrupole deformation around N = 58 can be understood in terms of an interplay between the spherical Z = 40, N = 56, and the deformed Z = 40, N = 60 closures in the single-particle spectrum (206,430) (see also Section 8.1 for more discussion). In order to illustrate the sensitivity of calculated PES in this region to the choice of model parameters, we show in Figure 38 the total energy curves versus /3 2 for 96,98.…”

“…Moreover, quite dramatic shifts in the band crossing fr equency have been seen in many nuclei fr om the A � 80 region (203). All these effects have been interpreted in terms of a deformation change caused by aligned g9/ 2 particles (for more discussion, see [203][204][205][206].…”

“…It is important to note that the high-j intruder subshells, such as vlh 1 1/2 and nlg 9 / 2 ' do obey the shell model criteria (441) for strongly overlapping orbitals. Keeping this in mind, one can interpret the deformation onset in terms of the deformed shell model picture (206). An inspection of the Nilsson diagram (Figure 2) shows that nuclear deformation generally sets in when neutron and proton intruder subshells are being occupied simultaneously.…”

The structure of the deformed nucleus 42 103 Mo61

“…The standard pairing strength mentioned above is used in the calculations with the particle-rotor model. A value of A,=0.94 MeV is obtained which corresponds to 80% of 12/x/A MeV, similar to the results of calculations [35] for l~ Spherical coordinates have been used in the calculations. Compared with the more common stretched coordinates, this has the advantage that the single-particle basis states t NIjfl) remain unchanged independent of deformation and that the entering I and j quantum numbers are the proper ones.…”