Global investigation of odd-even mass differences and radii with isospin-dependent pairing interactions

Bertulani, C. A.; Liu, Hongliang; Sagawa, H.

doi:10.1103/physrevc.85.014321

Cited by 25 publications

(22 citation statements)

References 24 publications

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“…The Fourier transforms for the nuclei A and B are obtained from theoretical nuclear densities, calculated by using HartreeFock + BCS theory according to Refs. [59,60].…”

Section: E Distorted Wavesmentioning

confidence: 99%

Quasifree (p,2p) and (p,pn)

2013

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We study (p,2p) and (p,pn) reactions at proton energies in the range of 100 MeV-1 GeV. Our purpose is to explore the most sensitive observables in unpolarized reactions with inverse kinematics involving radioactive nuclei. We formulate a model based on the eikonal theory to describe total cross sections and momentum distributions of the recoiled residual nucleus. The model is similar to the one adopted for knockout reactions with heavy ions. We show that momentum distributions are sensitive to the angular momentum of the ejected nucleon which can be used as an spectroscopic tool. The total cross sections are sensitive to the nucleon separation energies and to multiple scattering effects. Our calculations also indicate that a beam energy around 500 MeV/nucleon has a smaller dependence on the anisotropy of the nucleon-nucleon elastic scattering.

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“…The Fourier transforms for the nuclei A and B are obtained from theoretical nuclear densities, calculated by using HartreeFock + BCS theory according to Refs. [59,60].…”

Section: E Distorted Wavesmentioning

confidence: 99%

Quasifree (p,2p) and (p,pn)

2013

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“…The inclusion of tensor terms in the calculations achieved considerable success in explaining various nuclear structure problems [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. The present work is devoted to a systematic study of the tensor effect on the deformation of neon isotopes, and theoretical results will be confronted directly with recent experiments.In addition, lately, the pairing interaction between nucleons has been extended to be isospindependent [37,38], and global SHF calculations [39] with an isospin-dependent contact pairing interaction are shown to have a better agreement with empirical data than the results without isospindependence. This may be a hint that the pairing strength without the isospin dependence, incorporated in the previous SHF study, should be reexamined taking care of the isospin-dependence…”

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confidence: 99%

Tensor correlation, pairing interaction, and deformation in Ne isotopes and Ne hypernuclei

Hiyama

Zhou

et al. 2013

Phys. Rev. C

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We study tensor and pairing effects on the quadruple deformation of neon isotopes based on a deformed Skyrme-Hartree-Fock model with BCS approximation for the pairing channel. We extend the Skyrme-Hartree-Fock formalism for the description of single- and double-Lambda hypernuclei adopting two different hyperon-nucleon interactions. It is found that the interplay of pairing and tensor interactions is crucial to derive the deformations in several neon isotopes. Especially, the shapes of Ne-26,Ne-30 are studied in details in comparisons with experimentally observed shapes. Furthermore the deformations of the hypernuclei are compared with the corresponding neon isotopic cores in the presence of tensor force. We find the same shapes with somewhat smaller deformations for single Lambda-hypernuclei compared with their core deformations. It is also pointed out that the latest version of hyperon interaction, the ESC08b model, having a deeper Lambda potential makes smaller deformations for hypernuclei than those of another NSC97f model. DOI: 10.1103/PhysRevC.87.01433

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“…Its inclusion leads to a substantial increase of fission barriers in very neutron rich nuclei. Available covariant [8] and non-relativistic Skyrme [12,13] DFT investigations strongly point to the existence of isospin dependence of effective pairing interaction. However, its details and accurate form are still under debate.…”

Section: Discussionmentioning

confidence: 99%

The impact of isospin dependence of pairing on ﬁssion barriers in the ﬁssion cycling regions

Afanasjev

Taninah

2022

EPJ Web Conf.

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A systematic analysis of the ground state and ﬁssion properties of actinides and superheavy nuclei important for the r process modeling has been performed within the framework of covariant density functional theory for the ﬁrst time in Ref. [1]. A brief review of the results related to the heights of primary ﬁssion barriers and systematic uncertainties in their prediction is presented. In addition, new results on the potential impact of the isospin dependence of pairing on ﬁssion barriers in ﬁssion cycling regions is provided for the ﬁrst time.

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Global investigation of odd-even mass differences and radii with isospin-dependent pairing interactions

Cited by 25 publications

References 24 publications

Quasifree (p,2p) and (p,pn)

Quasifree (p,2p) and (p,pn)

Tensor correlation, pairing interaction, and deformation in Ne isotopes and Ne hypernuclei

The impact of isospin dependence of pairing on ﬁssion barriers in the ﬁssion cycling regions

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