Beyond the relativistic mean-field approximation: Configuration mixing of mean-field wave functions projected on angular momentum and particle number

2008 ◽  
Vol 156 (1) ◽  
pp. 175-182 ◽  
Author(s):  
T. Nikšić
Keyword(s):  
Angular Momentum ◽  
Particle Number ◽  
Mean Field ◽  
Field Approximation ◽  
Wave Functions ◽  
Mean Field Approximation ◽  
Relativistic Mean Field ◽  
Configuration Mixing ◽  
Field Wave

scholarly journals Pairing correlations and symmetries in odd-A nuclei.

2018 ◽  
Vol 178 ◽  
pp. 02002 ◽  
Author(s):  
J. Luis Egido ◽  
Marta Borrajo
Keyword(s):  
Angular Momentum ◽  
Particle Number ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Angular Momentum Projection ◽  
Hartree Fock ◽  
Pairing Correlations ◽  
Highly Correlated

The pairing correlations in odd-A nuclei are analyzed in the mean field approximation and beyond. In particular the role of symmetry conservation is investigated. We find that particle number projection after the variation (PN-PAV) has little effect on the pairing correlations specially in the weak pairing regime. This is in contrast to the variation after particle number projection (PN-VAP) approach where a strong effect is found. The situation is specially critical in odd nuclei because the pairing correlations vanish due to the blocking effect and the Hartree-Fock-Bogoliubov wave function collapses to the Hartree-Fock one. The PN-VAP, however, handles perfectly the exact blocking providing highly correlated wave functions. The role of the angular momentum projection is studied only in the PAV approach. We find small changes of the pairing correlation, at least at small angular momentum. In the calculations we use the Gogny interaction well suited to this kind of studies.

scholarly journals Relativistic mean field approximation to the analysis of16O(e,e′p)15Ndata at|Q2|<~0.4 (GeV/c)2

2001 ◽  
Vol 64 (2) ◽  
Author(s):  
J. M. Udías ◽  
J. A. Caballero ◽  
E. Moya de Guerra ◽  
Javier R. Vignote ◽  
A. Escuderos
Keyword(s):  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Relativistic Mean Field
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