Finite-range simple effective interaction including tensor terms

Bano, P.; Viñas, X.; Routray, T. R.; Centelles, M.; Anguiano, M.; Robledo, L. M.

doi:10.1103/physrevc.106.024313

Cited by 6 publications

(4 citation statements)

References 57 publications

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“…Notably, -terms arise from the exchange terms even without accounting for tensor forces. The inclusion of tensor interaction results in the dependence of on both the features of the central and tensor parts of the interaction [5,18], as follows:…”

Section: Model Approachmentioning

confidence: 99%

“…The effect of tensor forces on the spin-orbit splitting can be explained by their contribution to the one-particle potential being of similar structure to the contribution from the spin-orbit interaction. The sum of these two contributions, calculated as the first derivative of the energy density with respect to the nucleon density ρ, for protons (neutrons) reads [18]:…”

Section: Model Approachmentioning

confidence: 99%

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Tensor force impact on shell evolution in neutron-rich Si and Ni isotopes*

Sidorov,

Kornilova,

Tretyakova

2024

Chinese Phys. C

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The influence of the tensor interaction of nucleons on the characteristics of neutron-rich silicon and nickel isotopes was studied in this work. Tensor forces are taken into account within the framework of the Hartree-Fock approach with the Skyrme interaction. It is shown that the addition of tensor component of interaction improves the description of the splitting between different single-particle states and leads to a decrease in nucleon-nucleon pairing correlations in silicon and nickel nuclei. Special attention was given to the role of isovector tensor forces relevant for interaction of like nucleons.

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Section: Model Approachmentioning

confidence: 99%

Section: Model Approachmentioning

confidence: 99%

Tensor force impact on shell evolution in neutron-rich Si and Ni isotopes*

Sidorov,

Kornilova,

Tretyakova

2024

Chinese Phys. C

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“…In practice, this concern faces the problem that the calculated density distributions of finite nuclei shows strong model dependence when they derived based on effective NN interaction, far away the availability of experimentally determined charge density of hundreds of nuclei. For instance, the correlation between the neutron skin thickness of mirror nuclei with the charge radii differences and some stellar observables were investigated based on the coupled-cluster theory 19 and based on finite range simple effective interaction (SEI) 20 . The proton and neutron skins of mirror nuclei were also investigated using high-precision chiral few-nucleon interactions 21 .…”

Section: Introductionmentioning

confidence: 99%

Impact of different components of the Skyrme nucleon–nucleon effective interaction on the nuclear density distribution

Seif,

Hashem

2023

Sci Rep

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We systematically investigate the impact of the different terms of the Skyrme energy density functional of the effective nucleon-nucleon interaction, and of its associated nuclear matter (NM) properties, on the density distributions of spherical nuclei. Twenty five Skyrme force parameterizations are examined simultaneously, covering a broad range of each characteristic parameter and NM property. The diffuseness and the neutron-skin thickness are found to be the most sensitive density quantities to the force parameterization. The diffuseness is indicated to decrease with increasing the central zero-range and the effective mass terms of the effective force, and the power σ of its density dependent term, as well as with the coefficient of the NM symmetry energy (asym) and its density slope (L) at saturation density, and the incompressibility (Ko). In contrast, the proton and neutron diffuseness tend to increase with increasing the spin–orbit force and the isoscalar effective nucleon-mass (m*), and to increases slightly with the density dependence parameters other than the power σ. Opposite impacts are pointed out for the different parts of the finite-range, and J2 tensor terms on the proton and neutron density. While the neutron-skin thickness tends to increase significantly upon increasing the central zero-range and spin–orbit force terms, asym, L, and Ko, and to increase slightly with the finite-range and J2 tensor terms, and σ, it decreases with the effective-mass term, the density-dependence exchange parameter, and with the indicated isoscalar effective mass. The proton and neutron radii exhibit decreasing behavior with the central zero-range and the spin–orbit terms, and with Ko, and m*. Increasing asym and L indicate slightly less (larger) proton (neutron) radius.

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“…It is currently poorly understood, especially at supra-saturation densities, yet it has significant effects on nuclear structure, reactions, and neutron star features. Discoveries in astrophysics and nuclear tests on Earth have provided some limited constraints on its slope parameter L at the nuclear matter saturation density [24][25][26][27]. For the mirror pairs 36 Ca/ 36 S and 38 Ca/ 38 Ar, the instability's charge radii of 36,38 Ca nuclei were calculated by Brown et al, and this information was utilized to calculate the ∆R ch .…”

Section: Introductionmentioning

confidence: 99%

Study of the Symmetry Energy and the Nuclear Equation of State for 13O -13B and 13N-13C Mirror Nuclei

Ithawii,

Ban Sabah Hameed

2023

IJP

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In parallel with the shell model using the harmonic oscillator's single-particle wave functions, the Hartree-Fock approximation was also used to calculate the neutron skin thickness, the mirror charge radii, and the differences in proton radii for 13O-13B and 13N-13C mirror nuclei. The calculations were done for both mirror nuclei in the psdpn model space. Depending on the type of potential used, the calculated values of skin thickness are affected. The symmetry energy and the symmetry energy's slope at nuclear saturation density were also determined, and the ratio of the density to the saturation density of nuclear matter and the symmetry energy has a nearly linear correlation. The mirror energy displacement was calculated, and the findings corresponded well with the available experimental data for the binding energies of the studied mirror nuclei. The measured values of the symmetry energy coefficient for the pair of mirror nuclei agreed with the computed ones, and this coefficient's value rises exponentially as the difference in charge radius increases.

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Finite-range simple effective interaction including tensor terms

Cited by 6 publications

References 57 publications

Tensor force impact on shell evolution in neutron-rich Si and Ni isotopes*

Tensor force impact on shell evolution in neutron-rich Si and Ni isotopes*

Impact of different components of the Skyrme nucleon–nucleon effective interaction on the nuclear density distribution

Study of the Symmetry Energy and the Nuclear Equation of State for 13O -13B and 13N-13C Mirror Nuclei

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