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The electric field gradient a t the Gd nucleus in gadolinium and rare earth trifluoride single crystals, LaF,, CeF,, PrF,, NdF,, SmF,, EuF,, and GdF, are measured by the method of integral perturbed angular correlation. The experimental data are compared with those of point charge model calculatione and with the results of other experiments such as Mossbauer spectroscopy. electron paramagnetic resonance, nuclear quadrupole resonance, and optical absorption. The results obtained for Gd in trifluorides of the light rare earth elements allow to conclude that the origin of the field gradient cannot be explained by the point charge model.
The electric field gradient a t the Gd nucleus in gadolinium and rare earth trifluoride single crystals, LaF,, CeF,, PrF,, NdF,, SmF,, EuF,, and GdF, are measured by the method of integral perturbed angular correlation. The experimental data are compared with those of point charge model calculatione and with the results of other experiments such as Mossbauer spectroscopy. electron paramagnetic resonance, nuclear quadrupole resonance, and optical absorption. The results obtained for Gd in trifluorides of the light rare earth elements allow to conclude that the origin of the field gradient cannot be explained by the point charge model.
We present a reduced coupled channel method to treat a large number of coupled equations. This method is shown to be a good approximation to the exact coupled channel method for the fusion calculation even in the system involving strong coupling to high spin states. This method is applied to the analysis of subbarrier fusion cross sections for 14s, a 50,154Sm q_ 160, 232Th d-16 0 and 236 U _]_ 12C. We show that the channel coupling to low-lying collective states can explain the magnitude of the fusion cross sections, whereas it underestimates the measured mean square values of spin distribution for 232Th+160 and 236U-[-12C. This discrepancy is discussed from the viewpoint of the WKB model.
A simple IBA-sdf form for the E 1 transition operator containing an one-body term and a two-body term is tested in a non-analytical case. The E 1 transition probabilities in the rare-earth region are reproduced rather well. PACS: 23.30.Ck; 21.60.Fw; 27.70. +q The positive parity collective states in nuclei have been successfully explained in the framework of the IBA-sd model. The negative parity states could be described in the IBA model by adding odd-parity f(L=3) and p(L= 1) bosons to the standard s, d bosons [1]. This was successfully done in different mass regions [2][3][4][5].As long as only low-energy octupole vibrations are considered, the introduction of only one f boson appears to be sufficient to describe the data. The f boson represents a collective 3-state based on a two quasiparticle configuration. As such it will exhaust much of the lowlying octupole strength and E3 transitions should be well described using a one-body boson operator [6].For E 1 transitions the situation is completely different. Firstly there does not exist a low-lying collective E 1 mode (center of mass motion), which could be included as an additional boson and secondly (in fact related to the first point) all E i transitions in the low energy part of the spectrum are strongly hindered. These two points make the construction of the E 1 operator not straightforward. The absence of a low-lying collective E1 mode suggest that the IBA operator may contain important terms that are higher order in the boson operators. Since there are 14 different second order E 1 operators possible, a purely phenomenological approach keeping all terms is out of the question. Instead we have to rely on some semimicroscopic arguments. At higher excitation energies (10-20 MeV) there exists a collective isovector giant resonance. The observed E 1 transitions between low-lying states could thus be due to small admixtures of this high-lying state. Since this admixture is small, it can be described in perturbation theory. One possible graph is given in Fig. 1. The strong proton-neutron quadrupole interaction couples the collective octupole states to the isovector giant resonance. In the figure this state is represented by a p-degree of freedom coupled to the s and d bosons. This giant resonance component subsequently decays under the emission of an E 1 quanta.The effective E1 operator in the sdf boson space can now be written as:
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