Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction
Entity
UAM. Departamento de Física TeóricaPublisher
American Physical SocietyDate
2012-12-14Citation
10.1103/PhysRevC.86.064313
Physics review C 86.6 (2012): 064313
ISSN
0556-2813 (print); 1089-490X (online)DOI
10.1103/PhysRevC.86.064313Funded by
This work was supported in part by the US Department of Energy under Grant No. DE-FG02-00ER41132, and by the National Science Foundation under Grant No. PHY-0835543. The work of L.M.R. was supported by MICINN (Spain) under Grant Nos. FPA2009-08958 and FIS2009-07277, as well as by Consolider-Ingenio 2010 Programs CPAN CSD2007-00042 and MULTIDARK CSD2009-00064Project
Gobierno de España. FPA2009-08958; Gobierno de España. FIS2009-07277; Gobierno de España. CSD2009-00064; Gobierno de España. CPAN CSD2007-00042Editor's Version
http://dx.doi.org/10.1103/PhysRevC.86.064313Subjects
FísicaRights
© 2012 American Physical SocietyAbstract
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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Google Scholar:Robledo Martín, Luis Miguel
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Bernard, R.
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Bertsch, G. F.
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