Nuclear Superfluidity

Brink, D.M.; Broglia, R. A.

doi:10.1017/cbo9780511534911

Cited by 245 publications

(195 citation statements)

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“…On the other hand, the effective mass has a strong influence on the single-particle energies. The average level density is proportional to the effective mass [10]. Therefore, we expect the close connection between the effective mass and the pair-DF in order to reproduce the global trend of the experimental pairing gaps.…”

Section: Effective Mass and ρ1-dependence Of Pair-df A Isoscalarmentioning

confidence: 86%

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Optimal pair density functional for the description of nuclei with large neutron excess

2009

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Toward a universal description of pairing properties in nuclei far from stability, we extend the energy density functional by enriching the isovector density dependence in the particle-particle channel (pair density functional, pair-DF). We emphasize the necessity of both the linear and quadratic isovector density terms. The parameters are optimized by the Hartree-Fock-Bogoliubov calculation for 156 nuclei of the mass number A = 118 − 196 and the asymmetry parameter (N − Z)/A < 0.25. We clarify that the pair-DF should include the isovector density dependence in order to take into account the effect of the isoscalar and isovector effective masses in the particle-hole channel consistently. The different Skyrme forces can give the small difference in the pairing gaps toward the neutron drip line, if the optimal pair-DF consistent with the particle-hole channel is employed.

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Section: Effective Mass and ρ1-dependence Of Pair-df A Isoscalarmentioning

confidence: 86%

“…The study of the nuclear matter predicts a very weak 1 S 0 pairing at the normal density, and the pairing correlation in finite nuclei is considered to be nuclear surface effects [10]. The induced pairing interaction due to phonon exchange also enhances the surface effect [10,11,12].…”

Section: Introductionmentioning

confidence: 99%

Optimal pair density functional for the description of nuclei with large neutron excess

2009

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“…In calculations, we assume a spherical symmetry description of the nuclei considered. Pairing correlations are treated in the BCS approximation [6]. The pairing intensities for neutrons and protons…”

Section: Modelsmentioning

confidence: 99%

Nuclear Tensor Force and Effective Pions in the Relativistic Hartree-Fock Formalism

Marcos

López−Quelle

Niembro

et al. 2014

EPJ Web of Conferences

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Abstract.In the framework of nonlinear nuclear models based on the relativistic Hartree-Fock approximation, we have isolated the contribution of the tensor force of pions in the effective NN interaction, by means of two different approximate methods, recently developed by us, in order to dilucidate its role in a variety of nuclear properties. Results show that a reduction of the contribution of this tensor force considerably influences the spin-orbit splittings and magic gaps in the spin-unsaturated midweight 56 Ni nucleus as well as the behaviour of the total binding energies with A in heavy nuclei. Both methods give similar results. We also study the evolution of the splitting of the proton 1d spin-orbit doublet in the chain Z=14, from N=20 to N=28, and the neutron 2p − 1 f shell in the chain N=28, from the 48 Ca nucleus to the 42 Si nucleus. Whereas, in the first case, the pion tensor force (PTF) plays an important role and its reduction is needed to reproduce the corresponding experimental results; in the second case, the quenching of the neutron 2p 3/2 − 1 f 7/2 gap in the mentioned isotonic chain N=28 is hardly affected by the PTF.

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“…Pair correlations in nuclear motion play a key role in our understanding of the excitation spectra of even-A nuclei, odd-even mass differences, rotational moments of inertia, and a variety of other phenomena [1].…”

Section: Introductionmentioning

confidence: 99%

“…The L=0 nature of these structures and the extracted transfer probabilities appear consistent with the GPV population. It remains as an intriguing puzzle the fact that this mode has not been observed in heavier systems like Sn and Pb isotopes, where the collective effects are expected to be much stronger and for which the low-lying pair excitations are well described by pairing rotations in the Sn's and by pairing fluctuations near the critical point in the Pb's [1,9].…”

Section: Introductionmentioning

confidence: 99%

Population of the giant pairing vibration

et al. 2016

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Background: The Giant Pairing Vibration (GPV), a correlated two-nucleon mode in the second shell above the Fermi surface, has long been predicted and expected to be strongly populated in two-nucleon transfer cross sections similar to those of the normal Pairing Vibration (PV). Recent experiments have provided evidence for this mode in 14,15 C, but despite sensitive studies, it has not been definitively identified either in Sn or Pb nuclei where pairing correlations are known to play a crucial role.Purpose: Our aim is test whether features inherent to the mixing of bound and unbound levels might account for this and to study the effect in a simple and intuitively clear approach. Method:We study the mixing of unbound levels in a set of toy models that capture the essential physics of the GPV, along with a more realistic calculation including Distorted Waves Born Approximation (DWBA) transfer amplitudes.Results: The calculated (relative) cross section to populate a simulated GPV state is effectively low, compared to the case of bound levels with no-widths Conclusions:The mixing turns out to be only a minor contributor to the weak population. Rather, the main reason is the melting of the GPV peak due to the width it acquires from the low orbital angular momentum single particle states playing a dominant role in two-nucleon transfer amplitudes. This effect, in addition to a severe Q-value mismatch, may account for the elusive nature of this mode in (t, p) and (p, t) reactions.

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Nuclear Superfluidity

Cited by 245 publications

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Optimal pair density functional for the description of nuclei with large neutron excess

Optimal pair density functional for the description of nuclei with large neutron excess

Nuclear Tensor Force and Effective Pions in the Relativistic Hartree-Fock Formalism

Population of the giant pairing vibration

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