A particle-number conserving description of rotational correlated states

Laftchiev, H.; Libert, J.; Quentin, P.; Long, Ha Thuy

doi:10.1016/j.nuclphysa.2010.04.014

Cited by 5 publications

(4 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the case of the np pairing, a simultaneous projection on the isospin and the particle number may also be performed [62]. The higher Tamm-Dancoff approximation has also been used in order to treat the same problem [63][64][65].…”

Section: Introductionmentioning

confidence: 99%

Influence of isovector pairing and particle-number projection effects on spectroscopic factors for one-pair like-particle transfer reactions in proton-rich even-even nuclei

Benbouzid¹,

Allal²,

Fellah³

et al. 2018

Chinese Phys. C

View full text Add to dashboard Cite

Isovector neutron-proton (np) pairing and particle-number fluctuation effects on the spectroscopic factors (SF) corresponding to one-pair like-particle transfer reactions in proton-rich even-even nuclei are studied. With this aim, expressions of the SF corresponding to two-neutron stripping and two-proton pick-up reactions, which take into account the isovector np pairing effect, are established within the generalized BCS approach, using a schematic definition proposed by Chasman. Expressions of the same SF which strictly conserve the particle number are also established within the Sharp-BCS (SBCS) discrete projection method. In both cases, it is shown that these expressions generalize those obtained when only the pairing between like particles is considered. First, the formalism is tested within the Richardson schematic model. Second, it is applied to study even-even proton-rich nuclei using the single-particle energies of a Woods-Saxon mean-field. In both cases, it is shown that the np pairing effect and the particle-number projection effect on the SF values are important, particularly in N =Z nuclei, and must then be taken into account.

show abstract

Section: Introductionmentioning

confidence: 99%

Influence of isovector pairing and particle-number projection effects on spectroscopic factors for one-pair like-particle transfer reactions in proton-rich even-even nuclei

Benbouzid¹,

Allal²,

Fellah³

et al. 2018

Chinese Phys. C

View full text Add to dashboard Cite

show abstract

“…[4,[9][10][11][12]. In the next section the modifications to this standard approach, due to the projection method introduced in this paper, will be discussed in detail.…”

Section: A the Highly Truncated Diagonalization Approachmentioning

confidence: 99%

“…First let us briefly recall some general features of the HTDA approach which allows to treat on the same footing various correlations, including pairing correlations, in an explicitly particle number conserving approach as discussed in Refs. [4,[9][10][11][12]. In the next section the modifications to this standard approach, due to the projection method introduced in this paper, will be discussed in detail.…”

Section: A the Highly Truncated Diagonalization Approachmentioning

confidence: 99%

Parity restoration in the highly truncated diagonalization approach: Application to the outer fission barrier of240Pu

2012

Self Cite

View full text Add to dashboard Cite

The restoration of the parity symmetry has been performed in the framework of the Highly Truncated Diagonalization Approach suited to treat correlations in an explicitly particle-number conserving microscopic approach. To do so we have assumed axial symmetry and used a generalized Wick's theorem due to Löwdin in a projection-after-variation scheme. We have chosen the Skyrme SkM * energy-density functional for the particle-hole channel and a density-independent delta force for the residual interaction. We have applied this approach in the region of the outer fission barrier of the 240 Pu nucleus. As a result, we have shown that the K π = 0 + fission isomeric state is statically unstable against intrinsic-parity breaking modes, while the projection does not affect the energy at the top of the intrinsic outer fission barrier. Altogether, this leads to an increase of the height of the outer fission barrier-with respect to the fission isomeric state-by about 350 keV, affecting thus significantly the fission-decay lifetime of the considered fission isomer.

show abstract

“…The second approach used to overcome the defect of the BCS wave-function is the inclusion of the interaction which has been neglected in the independent-quasiparticle approximation, such as the quasiparticle random phase approximation (QRPA) and its variants [81][82][83][84][85][86][87][88][89][90][91]. Another possibility is the higher Tamm-Dancoff approximation [92][93][94] as well as the variation after mean-field projection in realistic model spaces (VAMPIR) [95][96][97] or the variational approach [98,99]. Among other methods, the present list not being exhaustive, let us also cite the generalized seniority [100,101], the density matrix method [102,103], the nucleon pair approximation [104][105][106], the shell-model-like approach [107][108][109] and the methods proposed by Pillet et al [110] and Molique et al [111].…”

Section: Introductionmentioning

confidence: 99%

Isovector pairing and particle-number fluctuation effects on the spectroscopic factors of one-proton stripping and one-neutron pick-up reactions in proton-rich nuclei

Benbouzid¹,

Allal²,

Fellah³

et al. 2018

Chinese Phys. C

View full text Add to dashboard Cite

Expressions of the spectroscopic factors (SFs) corresponding to one-particle transfer reactions have been established using a schematic definition. These expressions have been derived by taking into account the isovector neutron-proton (np) pairing correlations and a particle-number projection in the framework of the generalized Sharp-BCS (SBCS) method. Recently proposed expressions of the projected wave-functions of odd-mass nuclei have been used for this purpose. The formalism has first been tested using the single-particle energies of the schematic picketfence model. It is shown that the np pairing and particle-number fluctuation effects are far from negligible and they depend on the pairing gap parameter values. Their behavior is not the same when the parent nuclei are even-even or odd. Predictions dealing with the SFs corresponding to one-proton stripping and one-neutron pick-up reactions in proton-rich nuclei have then been established within the framework of the realistic Woods-Saxon model. It is shown that the np pairing effect as well as the particle-number projection effect are important and thus have to be included in future calculations of the SF corresponding to these kinds of reactions.

show abstract

A particle-number conserving description of rotational correlated states

Cited by 5 publications

References 33 publications

Influence of isovector pairing and particle-number projection effects on spectroscopic factors for one-pair like-particle transfer reactions in proton-rich even-even nuclei

Influence of isovector pairing and particle-number projection effects on spectroscopic factors for one-pair like-particle transfer reactions in proton-rich even-even nuclei

Parity restoration in the highly truncated diagonalization approach: Application to the outer fission barrier of240Pu

Isovector pairing and particle-number fluctuation effects on the spectroscopic factors of one-proton stripping and one-neutron pick-up reactions in proton-rich nuclei

Contact Info

Product

Resources

About