Influence of the Isovector Pairing Effect on Nuclear Statistical Quantities in N ≈ Z Even–even Systems

Belabbas, M.; Fellah, M.; Allal, N. H.; Benhamouda, N.; Ami, I.; Oudih, M. R.

doi:10.1142/s0218301310016454

Cited by 15 publications

(5 citation statements)

References 55 publications

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“…To look for the effect of pair type on spectral statistics, we have examined the level statistics of nuclei with different types of pairs out of closed shells. Theoretical analysis [39][40] proposed a deviation to more regular dynamics for nuclei with neutron-neutron pairs (with full proton energy levels) in compare to nuclei with proton-proton pairs (with full neutron energy levels in the shell model configuration which our results suggest similar statistics. This means, nuclei with proton-proton pairs which Coulomb force reduces the effect of pairing force in energy spectra, show more chaoticity.…”

Section: Sequences Nucleisupporting

confidence: 63%

Pairing effect on spectral statistics of even and odd mass nuclei

et al. 2013

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The interplay of pairing is explored for the spectral statistics of nuclear systems with emphasis on the nearest neighbor spacing distributions by employing the kernel density and maximum likelihood estimation techniques. Different sequences prepared by all the available empirical data for low-lying energy levels of even and odd-mass nuclei in the 34 < 206 A ≤ mass region. A deviation to more regular dynamics is apparent for even-mass nuclei in compare to odd-mass ones, and there are suggestions of effects due to unclosed proton shells on more chaotic dynamics.

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Section: Sequences Nucleisupporting

confidence: 63%

Pairing effect on spectral statistics of even and odd mass nuclei

et al. 2013

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“…The pairing constants G tt ′ have been directly deduced from the "experimental" values of the gap parameters ∆ tt ′ (see Refs. [46][47][48].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Effect of the Particle-Number Symmetry Restoration on Root Mean Square Radii of Even–even Neutron-Deficient Nuclei in the Isovector Pairing Case

Douici

Allal

Fellah

et al. 2012

Int. J. Mod. Phys. E

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The effect of the particle-number symmetry restoration on the root mean square (rms) proton and neutron radii of neutron-deficient nuclei is studied in the isovector pairing case. As a first step, an expression of the nuclear radii which includes the neutron-proton pairing effects and which strictly conserves the particle-number has been established using the SBCS (Sharp BCS) method. It is shown that this expression generalizes the one obtained in the pairing between like-particles case. As a second step, the proton and neutron rms radii are numerically evaluated for even-even nuclei such as 16 Z 56 and 0 (N − Z) 4 using the single-particle energies of a Woods-Saxon mean-field. The results are compared with experimental data when available and with the results obtained when one considers only the pairing between like-particles.Finally, the projection effect, when including or not the isovector pairing effect, has been studied by evaluating the relative discrepancies: δr n-proj and δr n-proj-np . This effect is roughly the same in both cases since the average values of these latter are respectively 0.70% and 0.74%. These values are also very close to that of the proton system.However, one notices that, in the neutron case, the np pairing effect seems to be more important than that of the projection. The particle-fluctuation effects in the BCS states being, by definition, nonphysical it is difficult to explain why Figs. 1 and 2 show very different trends.

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“…where W j is defined by (10). It is worth noticing that in the latter expression, the coefficients B i j that appear in (10) depend on m; this dependence has not been explicited in order to simplify the notations.…”

Section: Ground Statementioning

confidence: 99%

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]). Indeed, the region of N^Z medium mass nuclei is now accessible to experiments and this fact led to renewed interest of theoreticians for this kind of nuclei.…”

Section: Introductionmentioning

confidence: 99%

Number projected isovector neutron–proton pairing effect in odd-mass nuclei

2014

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A formalism which enables one to strictly conserve the number of particles when taking into account the isovector pairing correlations is presented in the case of odd-mass nuclei. With this aim, we had to first establish the expression of the projector for such systems. Expressions of the ground state and its energy have been exhibited. The model has been numerically tested in the framework of a schematic model.

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Influence of the Isovector Pairing Effect on Nuclear Statistical Quantities in N ≈ Z Even–even Systems

Cited by 15 publications

References 55 publications

Pairing effect on spectral statistics of even and odd mass nuclei

Pairing effect on spectral statistics of even and odd mass nuclei

Effect of the Particle-Number Symmetry Restoration on Root Mean Square Radii of Even–even Neutron-Deficient Nuclei in the Isovector Pairing Case

Number projected isovector neutron–proton pairing effect in odd-mass nuclei

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