Angular momentum decomposition of Richardson's pairs

Dussel, G.G.; Sofía, H.M.

doi:10.1103/physrevc.78.014316

Cited by 2 publications

(2 citation statements)

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“…For example, one can also calculate these occupation probabilities by using the Nilsson mean field and the standard pairing model, which should yield results similar to those shown in this paper. As shown in [16], in which the Nilsson mean field plus the standard pairing model was used to analyze the angular momentum decomposition of only one valence neutron pair, the result of the case studied and the conclusions made are quite similar to the ones shown in this work. Hence, the IBM with s-, d-, and g-bosons seems to provide a reasonable simplified description of the collective motion of these deformed nuclei.…”

Section: Discussionsupporting

confidence: 69%

“…On the other hand, the tremendous success of the interacting boson model (IBM) [12] suggests that s-and d-pairs play a dominant role in the spectroscopy of low-lying excitations [13,14]. It is shown that, by using the exact solutions of the standard pairing model (Richardson-Gaudin method [15]), the angular momentum distributions of the Richardson pairs in the ground state of the deformed 174 Yb nucleus can be used to clarify the microscopic foundation of the IBM -these distributions, however, are strikingly different from the ones obtained in the BCS ground state [16].…”

Section: Introductionmentioning

confidence: 99%

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Ground-state properties of rare-earth nuclei in the Nilsson mean-field plus extended-pairing model

et al. 2015

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The Nilsson mean-field plus extended-pairing model for deformed nuclei is applied to describe the ground-state properties of selected rare-earth nuclei. Binding energies, even-odd mass differences, energies of the first pairing excitation states, moments of inertia for the ground-state band of 152−164 Er, 154−166 Yb, and 156−168 Hf are calculated systematically in the model employing both proton-proton and neutron-neutron pairing interactions. The pairing interaction strengths are determined as a function of the mass number in the isotopic chains. In comparison with the corresponding experimental data, it is shown that pairing interaction is crucial in elucidating the properties of both the ground state and the first pairing excitation state of these rare-earth nuclei. With model parameters determined by fitting the energies of these states, ground-state occupation probabilities of valence nucleon pairs with angular momentum J = 0, 1, · · · , 12 for even-even 156−162 Yb are calculated. It is inferred that the occupation probabilities of valence nucleon pairs with even angular momenta are much higher than those of valence nucleon pairs with odd angular momenta. The results clearly indicate that S, D, and G valence nucleon pairs dominate in the ground state of these nuclei.

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Section: Discussionsupporting

confidence: 69%