Quadrupole deformation parameters

Quadrupole deformation parameters Before discussing the individual nuclei Tet us loot at the deformation parameters deduced from the measured transitional quadrupole moments Q l = (1 6tt/5 B(E2,I- I-2))1/2 /... 

Fig. 12.17. Potential energy surface of a Na cluster containing 12 atoms, plotted in the plane of deformation parameters /3 (giving the quadrupole moment) and 7 (the departure from axial symmetry). By averaging over an ensemble, the actual spectrum is obtained, and is compared with experimental data below the graph (after R.A. Broglia [702]).

O Equation (2.50) means that from the measured reduced transition probabilities 5(E2 0] 2 ) one can determine the internal quadrupole moment (Qo) and also the deformation parameter 6, taking into account that... 

Restricting the quadrupole deformation to a mixing of closest unperturbed states is exact for harmonic confinement, but leads us to underestimate (2n by 20% for a smooth potential j8 = 0.1. The latter model, with the parameters (11.19), gives = 0.004 fm. ... 

Figure 1. Photoabsorption cross section for the dipole plasmon in axially deformed sodium clusters, normalized to the number of valence electrons N - The parameters of quadrupole and hexadecapole deformations are given in boxes. The experimental data [39] (triangles) are compared with SRPA results given as bars for RPA states and as the strength function (49) smoothed by the Lorentz weight with A = 0.25 eV. Contribntions to the strength function from p =0 and 1 dipole modes (the latter has twice larger strength) are exhibited by dashed curves. The bars are given in eVA. ...

ISOLDE facility at CERN [EBE85a]. Systematical data on magnetic dipole moments, electric quadrupole moments and isotope shifts were obtained in the mass range A=105 to A=127. The mean square charge-radii, deduced from measured isotope shifts, show clearly onset and disappearance of deformation, if compared to a simple two-parameter formula (see Fig.2). The lat-... 

Fig. 3 Nilsson diagram for odd neutrons close to N = 82, calculated with the parameter set k = 0X)5 and p. = 020 valid in the spherical limit 176]. The Fermi levels for N - 83,85 and 87 indicate a successive filling of the fj neutron shell. In the right part, experimental data on magnetic dipole moments and spectroscopic quadrupole moments of I = 712 ground states in N = 83,85 and 87 nuclei (Ba [39] Ce, Nd and Sm [1] Gd, Dy and Er [48]) are compared with the results from the particle-rotor calculations, assuming deformations of e = 0.10 and 0.15.

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