Shape coexistence and the effective nucleon-nucleon interaction

Reinhard, P.‐G.; Dean, D. J.; Nazarewicz, W.; Dobaczewski, J.; Maruhn, J. A.; Strayer, M. R.

doi:10.1103/physrevc.60.014316

Cited by 370 publications

(359 citation statements)

References 86 publications

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“…3.4. However, they have used tensor forces that are added perturbatively on top, respectively, of the Skyrme sets SkO [83] and SkX [71]. Some of the results obtained in Ref.…”

Section: β-Decaymentioning

confidence: 99%

“…At variance with the works discussed in the last paragraphs, the tensor force is fitted not on isotopic or isotonic trends but rather on f 5/2 -f 7/2 spin-orbit splittings in 40 Ca, 56 Ni and 48 Ca. This fit is performed on top of existing SkP [82], SLy4 [73] and SkO [83], but the refit is performed at the same time on the spin-orbit parameter and on the tensor terms. For these latter terms, values of α around ≈ -100 MeV·fm 5 and β ranging from +15 to +55 MeV·fm 5 are obtained.…”

Section: Attempts Of Global Fittings Of Single-particle Statesmentioning

confidence: 99%

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Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Sagawa

Colò

2014

Progress in Particle and Nuclear Physics

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The importance of the tensor force for nuclear structure has been recognized long ago. Recently, the interest for this topic has been revived by the study of the evolution of nuclear properties far from the stability line. However, in the context of the effective theories that describe medium-heavy nuclei, the role of the tensor force is still debated. This review focuses on ground-state properties like masses and deformation, on single-particle states, and on excited vibrational and rotational modes. The goal is to assess which properties, if any, can bring clear signatures of the tensor force within the mean-field or density functional theory framework. It will be concluded that, while evidences for a clear neutron-proton tensor force exist despite quantitative uncertainties, the role of the tensor force among equal particles is less well established.

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“…3.4. However, they have used tensor forces that are added perturbatively on top, respectively, of the Skyrme sets SkO [83] and SkX [71]. Some of the results obtained in Ref.…”

Section: β-Decaymentioning

confidence: 99%

Section: Attempts Of Global Fittings Of Single-particle Statesmentioning

confidence: 99%

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Sagawa

Colò

2014

Progress in Particle and Nuclear Physics

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“…We refer to a recent work by Reinhard et al [58] for a detailed and systematic study of shape coexistence phenomena in relation to the properties of various versions of the Skyrme interaction. We shall also check the dependence on the pairing strength V 0 adopted.…”

Section: The Skyrme Plus Density-dependent Pairing Interactionsmentioning

confidence: 99%

Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in nuclei from 64Ge to 84Mo

2001

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By performing fully 3D symmetry-unrestricted Skyrme-Hartree-FockBogoliubov calculations, we discuss shape coexistence and possibility of exotic deformations simultaneously breaking the reflection and axial symmetries in proton-rich N = Z nuclei: 64 Ge, 68 Se, 72 Kr, 76 Sr, 80 Zr and 84 Mo. Results of calculation indicate that the oblate ground state of 68 Se is extremely soft against the Y 33 triangular deformation, and that the low-lying spherical minimum coexisting with the prolate ground state in 80 Zr is extremely soft against the Y 32 tetrahedral deformation.

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“…The impact of two Skyrme functionals on the superdeformed band heads is tested. SkO TX is built on SkO [34] plus a tensor term and SkO T get a modified spin-orbit strength and the same tensor part. It is pointed out that deformation properties are very sensitive to the relative adjustment between the SO and tensor term for both spin-saturated and spin-unsaturated cases.…”

Section: Introductionmentioning

confidence: 99%

Interplay between tensor force and deformation in even–even nuclei

Bernard

Anguiano

2016

Nuclear Physics A

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In this work we study the effect of the nuclear tensor force on properties related with deformation. We focus on isotopes in the Mg, Si, S, Ar, Sr and Zr chains within the Hartree-Fock-Bogoliubov theory using the D1ST2a Gogny interaction. Contributions to the tensor energy in terms of saturated and unsaturated subshells are analyzed. Like-particle and proton-neutron parts of the tensor term are independently examinated. We found that the tensor term may considerably modify the potential energy landscapes and change the ground state shape. We analyze too how the pairing characteristics of the ground state change when the tensor force is included.

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Shape coexistence and the effective nucleon-nucleon interaction

Abstract: The phenomenon of shape coexistence is discussed within the self-consistent Hartree-Fock method and the nuclear shell model. The occurrence of the coexisting configurations with different intrinsic shapes is traced back to the properties of the effective Hamiltonian.

Cited by 370 publications

References 86 publications

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in nuclei from 64Ge to 84Mo

Interplay between tensor force and deformation in even–even nuclei

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