The effective neutron—proton interaction in rare-earth nuclei

Boisson, Jean; Piepenbring, R.; Ogle, W.

doi:10.1016/0370-1573(76)90027-2

Cited by 127 publications

(79 citation statements)

References 101 publications

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“…We plan in the future to apply the method to two-quasiparticle wave functions, starting with the ground states of odd-odd nuclei. The energy splitting of the states with different K quantum numbers in strong deformed nuclei will provide a good test of the T -odd part of the interaction [28].…”

Section: Discussionmentioning

confidence: 99%

Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

2012

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As part of a program to study odd-A nuclei in the Hartree-Fock-Bogoliubov (HFB) theory, we have developed a new calculational tool to find the HFB minima of odd-A nuclei based on the gradient method and using interactions of Gogny's form. The HFB minimization includes both time-even and time-odd fields in the energy functional, avoiding the commonly used "filling approximation". Here we apply the method to calculate neutron pairing gaps in some representative isotope chains of spherical and deformed nuclei, namely the Z = 8, 50 and 82 spherical chains and the Z = 62 and 92 deformed chains. We find that the gradient method is quite robust, permitting us to carry out systematic surveys involving many nuclei. We find that the time-odd field does not have large effect on the pairing gaps calculated with the Gogny D1S interaction. Typically, adding the T-odd field as a perturbation increases the pairing gap by 100 keV, but the re-minimization brings the gap back down. This outcome is very similar to results reported for the Skyrme family of nuclear energy density functionals. Comparing the calculated gaps with the experimental ones, we find that the theoretical errors have both signs implying that the D1S interaction has a reasonable overall strength. However, we find some systematic deficiencies comparing spherical and deformed chains and comparing the lighter chains with the heavier ones. The gaps for heavy spherical nuclei are too high, while those for deformed nuclei tend to be too low. The calculated gaps of spherical nuclei show hardly any A-dependence, contrary to the data. Inclusion of the T-odd component of the interaction does not change these qualitative findings.

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Section: Discussionmentioning

confidence: 99%

Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

2012

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“…The two possible relative spin orientations, K p + K n and |K p − K n | give rise to two separate rotational bands having band-head angular momentum J = |K p ± K n |. According to the rule [6,7], the oriention with parallel intrinsic spins is the lower energy band. As documented in a review of the GM rule [7], there are only rare exceptions to the rule.…”

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confidence: 99%

“…The difference is[22] the D1S is shown in comparison to the empirical ∆v np discussed in Refs. [7,13].…”

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Spin constraints on nuclear energy density functionals

2014

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“…The program ASYRPN described in [7] has been employed with deformation parameters ε 2 =0.20, and ε 4 =0.065. The central residual NN-interaction with short and long range components and spin polarization [8] At the present stage of our work, we believe that the presently adopted [6] structure interpretation of the 186 Re positive parity levels requires additional validation, both experimental and theoretical.…”

Section: Discussionmentioning

confidence: 91%

Levels of¹⁸⁶Re populated in thermal neutron capture reaction

Bērziņš

Krasta

Simonova

et al. 2015

EPJ Web of Conferences

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Abstract. Levels of 186 Re have been studied in the thermal neutron capture reaction with an enriched 185 Re target. Evaluation of spectrum measured with GAMS5 allowed to obtain energies and intensities of more than 500 γ-lines assigned to 186 Re. Most of the obtained transitions have been placed in the model-independent level scheme of the doubly odd 186 Re nucleus, taking into account the available data of earlier experiments as well as the results of recent 187 Re(p, d) 186 Re reaction measurements. Structure of the 186 Re low-lying levels has been analysed in terms of the particle-plus-rotor coupling model.

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The effective neutron—proton interaction in rare-earth nuclei

Cited by 127 publications

References 101 publications

Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

Spin constraints on nuclear energy density functionals

Levels of¹⁸⁶Re populated in thermal neutron capture reaction

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The effective neutron—proton interaction in rare-earth nuclei

Cited by 127 publications

References 101 publications

Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

Spin constraints on nuclear energy density functionals

Levels of186Re populated in thermal neutron capture reaction

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Product

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Levels of¹⁸⁶Re populated in thermal neutron capture reaction